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Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators. <i>Journal of Mathematical Physics</i>. 2014;55(10). doi:<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>","mla":"Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential Operators.” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, 101501, AIP Publishing, 2014, doi:<a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>.","chicago":"Weich, Tobias. “Equivariant Spectral Asymptotics for<i>h</i>-Pseudodifferential Operators.” <i>Journal of Mathematical Physics</i> 55, no. 10 (2014). <a href=\"https://doi.org/10.1063/1.4896698\">https://doi.org/10.1063/1.4896698</a>.","short":"T. Weich, Journal of Mathematical Physics 55 (2014).","ieee":"T. Weich, “Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators,” <i>Journal of Mathematical Physics</i>, vol. 55, no. 10, Art. no. 101501, 2014, doi: <a href=\"https://doi.org/10.1063/1.4896698\">10.1063/1.4896698</a>.","apa":"Weich, T. (2014). Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators. <i>Journal of Mathematical Physics</i>, <i>55</i>(10), Article 101501. <a href=\"https://doi.org/10.1063/1.4896698\">https://doi.org/10.1063/1.4896698</a>"},"external_id":{"arxiv":["1311.2436 "]},"year":"2014","title":"Equivariant spectral asymptotics for<i>h</i>-pseudodifferential operators","author":[{"id":"49178","last_name":"Weich","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias"}],"publication_identifier":{"issn":["0022-2488","1089-7658"]},"publication_status":"published","date_updated":"2022-05-19T10:16:38Z","intvolume":"        55","article_number":"101501","language":[{"iso":"eng"}],"doi":"10.1063/1.4896698","issue":"10","publication":"Journal of Mathematical Physics","date_created":"2022-05-17T12:57:00Z","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}]},{"publisher":"The Optical Society","_id":"38088","user_id":"26263","volume":22,"status":"public","citation":{"bibtex":"@article{Shayovitz_Herrmann_Sohler_Ricken_Silberhorn_Marom_2014, title={Real-time coherent detection of phase modulated ultrashort pulses after time-to-space conversion and spatial demultiplexing}, volume={22}, DOI={<a href=\"https://doi.org/10.1364/oe.22.031138\">10.1364/oe.22.031138</a>}, number={2531138}, journal={Optics Express}, publisher={The Optical Society}, author={Shayovitz, Dror and Herrmann, Harald and Sohler, Wolfgang and Ricken, Raimund and Silberhorn, Christine and Marom, Dan M.}, year={2014} }","ama":"Shayovitz D, Herrmann H, Sohler W, Ricken R, Silberhorn C, Marom DM. Real-time coherent detection of phase modulated ultrashort pulses after time-to-space conversion and spatial demultiplexing. <i>Optics Express</i>. 2014;22(25). doi:<a href=\"https://doi.org/10.1364/oe.22.031138\">10.1364/oe.22.031138</a>","mla":"Shayovitz, Dror, et al. “Real-Time Coherent Detection of Phase Modulated Ultrashort Pulses after Time-to-Space Conversion and Spatial Demultiplexing.” <i>Optics Express</i>, vol. 22, no. 25, 31138, The Optical Society, 2014, doi:<a href=\"https://doi.org/10.1364/oe.22.031138\">10.1364/oe.22.031138</a>.","chicago":"Shayovitz, Dror, Harald Herrmann, Wolfgang Sohler, Raimund Ricken, Christine Silberhorn, and Dan M. Marom. “Real-Time Coherent Detection of Phase Modulated Ultrashort Pulses after Time-to-Space Conversion and Spatial Demultiplexing.” <i>Optics Express</i> 22, no. 25 (2014). <a href=\"https://doi.org/10.1364/oe.22.031138\">https://doi.org/10.1364/oe.22.031138</a>.","short":"D. Shayovitz, H. Herrmann, W. Sohler, R. Ricken, C. Silberhorn, D.M. Marom, Optics Express 22 (2014).","ieee":"D. Shayovitz, H. Herrmann, W. Sohler, R. Ricken, C. Silberhorn, and D. M. Marom, “Real-time coherent detection of phase modulated ultrashort pulses after time-to-space conversion and spatial demultiplexing,” <i>Optics Express</i>, vol. 22, no. 25, Art. no. 31138, 2014, doi: <a href=\"https://doi.org/10.1364/oe.22.031138\">10.1364/oe.22.031138</a>.","apa":"Shayovitz, D., Herrmann, H., Sohler, W., Ricken, R., Silberhorn, C., &#38; Marom, D. M. (2014). Real-time coherent detection of phase modulated ultrashort pulses after time-to-space conversion and spatial demultiplexing. <i>Optics Express</i>, <i>22</i>(25), Article 31138. <a href=\"https://doi.org/10.1364/oe.22.031138\">https://doi.org/10.1364/oe.22.031138</a>"},"article_number":"31138","language":[{"iso":"eng"}],"doi":"10.1364/oe.22.031138","year":"2014","title":"Real-time coherent detection of phase modulated ultrashort pulses after time-to-space conversion and spatial demultiplexing","publication_identifier":{"issn":["1094-4087"]},"author":[{"last_name":"Shayovitz","first_name":"Dror","full_name":"Shayovitz, Dror"},{"id":"216","last_name":"Herrmann","first_name":"Harald","full_name":"Herrmann, Harald"},{"first_name":"Wolfgang","last_name":"Sohler","full_name":"Sohler, Wolfgang"},{"full_name":"Ricken, Raimund","last_name":"Ricken","first_name":"Raimund"},{"first_name":"Christine","last_name":"Silberhorn","full_name":"Silberhorn, Christine","id":"26263"},{"first_name":"Dan M.","last_name":"Marom","full_name":"Marom, Dan M."}],"publication_status":"published","date_updated":"2023-01-30T12:07:13Z","intvolume":"        22","date_created":"2023-01-23T11:05:08Z","type":"journal_article","keyword":["Atomic and Molecular Physics","and Optics"],"department":[{"_id":"288"},{"_id":"15"},{"_id":"623"},{"_id":"230"}],"issue":"25","publication":"Optics Express"},{"issue":"7","citation":{"bibtex":"@article{Bulgarini_Reimer_Bavinck_Jöns_Dalacu_Poole_Bakkers_Zwiller_2014, series={Nano Lett. }, title={Nanowire waveguides launching single photons in a Gaussian mode for ideal fiber-coupling}, volume={14}, number={7}, author={Bulgarini, G and Reimer, M.E and Bavinck, M. Bouwes and Jöns, Klaus D. and Dalacu, D and Poole, P.J and Bakkers, E.P.A.M and Zwiller, V}, year={2014}, pages={4102–4106}, collection={Nano Lett. } }","short":"G. Bulgarini, M.E. Reimer, M.B. Bavinck, K.D. Jöns, D. Dalacu, P.J. Poole, E.P.A.M. Bakkers, V. Zwiller, 14 (2014) 4102–4106.","ama":"Bulgarini G, Reimer ME, Bavinck MB, et al. Nanowire waveguides launching single photons in a Gaussian mode for ideal fiber-coupling. 2014;14(7):4102-4106.","chicago":"Bulgarini, G, M.E Reimer, M. Bouwes Bavinck, Klaus D. Jöns, D Dalacu, P.J Poole, E.P.A.M Bakkers, and V Zwiller. “Nanowire waveguides launching single photons in a Gaussian mode for ideal fiber-coupling.” Nano Lett. , 2014.","ieee":"G. Bulgarini <i>et al.</i>, “Nanowire waveguides launching single photons in a Gaussian mode for ideal fiber-coupling,” vol. 14, no. 7. pp. 4102–4106, 2014.","apa":"Bulgarini, G., Reimer, M. E., Bavinck, M. B., Jöns, K. D., Dalacu, D., Poole, P. J., Bakkers, E. P. A. M., &#38; Zwiller, V. (2014). <i>Nanowire waveguides launching single photons in a Gaussian mode for ideal fiber-coupling</i> (Vol. 14, Issue 7, pp. 4102–4106).","mla":"Bulgarini, G., et al. <i>Nanowire waveguides launching single photons in a Gaussian mode for ideal fiber-coupling</i>. no. 7, 2014, pp. 4102–06."},"date_created":"2023-02-13T07:52:03Z","type":"conference","department":[{"_id":"623"}],"status":"public","year":"2014","title":"Nanowire waveguides launching single photons in a Gaussian mode for ideal fiber-coupling","author":[{"first_name":"G","last_name":"Bulgarini","full_name":"Bulgarini, G"},{"full_name":"Reimer, M.E","first_name":"M.E","last_name":"Reimer"},{"last_name":"Bavinck","first_name":"M. Bouwes","full_name":"Bavinck, M. Bouwes"},{"first_name":"Klaus D.","last_name":"Jöns","full_name":"Jöns, Klaus D.","id":"85353"},{"last_name":"Dalacu","first_name":"D","full_name":"Dalacu, D"},{"full_name":"Poole, P.J","last_name":"Poole","first_name":"P.J"},{"full_name":"Bakkers, E.P.A.M","last_name":"Bakkers","first_name":"E.P.A.M"},{"full_name":"Zwiller, V","last_name":"Zwiller","first_name":"V"}],"publication_status":"published","date_updated":"2023-02-13T08:44:56Z","intvolume":"        14","page":"4102-4106","_id":"42025","series_title":"Nano Lett. ","language":[{"iso":"ger"}],"user_id":"71124","volume":14},{"volume":5,"user_id":"71124","series_title":"Nat. Commun.","_id":"42024","language":[{"iso":"ger"}],"article_number":"5298","intvolume":"         5","date_updated":"2023-02-13T08:46:47Z","publication_status":"published","author":[{"full_name":" Versteegh, M.A.M","first_name":"M.A.M","last_name":" Versteegh"},{"first_name":"M.E","last_name":" Reimer","full_name":" Reimer, M.E"},{"id":"85353","first_name":"Klaus D.","last_name":"Jöns","full_name":"Jöns, Klaus D."},{"last_name":"Dalacu","first_name":"D","full_name":"Dalacu, D"},{"full_name":"Poole, P.J","first_name":"P.J","last_name":"Poole"},{"full_name":" Gulinatti, A","first_name":"A","last_name":" Gulinatti"},{"full_name":"Giudice, A","last_name":"Giudice","first_name":"A"},{"last_name":"Zwiller","first_name":"V","full_name":"Zwiller, V"}],"title":"Observation of strongly entangled photon pairs from a nanowire quantum dot","status":"public","year":"2014","department":[{"_id":"623"}],"type":"conference","date_created":"2023-02-13T07:47:06Z","citation":{"chicago":"Versteegh, M.A.M, M.E  Reimer, Klaus D. Jöns, D Dalacu, P.J Poole, A  Gulinatti, A Giudice, and V Zwiller. “Observation of strongly entangled photon pairs from a nanowire quantum dot.” Nat. Commun., 2014.","short":"M.A.M.  Versteegh, M.E.  Reimer, K.D. Jöns, D. Dalacu, P.J. Poole, A.  Gulinatti, A. Giudice, V. Zwiller, 5 (2014).","ieee":"M. A. M.  Versteegh <i>et al.</i>, “Observation of strongly entangled photon pairs from a nanowire quantum dot,” vol. 5. 2014.","apa":"Versteegh, M. A. M.,  Reimer, M. E., Jöns, K. D., Dalacu, D., Poole, P. J.,  Gulinatti, A., Giudice, A., &#38; Zwiller, V. (2014). <i>Observation of strongly entangled photon pairs from a nanowire quantum dot</i> (No. 5298; Vol. 5).","bibtex":"@article{ Versteegh_ Reimer_Jöns_Dalacu_Poole_ Gulinatti_Giudice_Zwiller_2014, series={Nat. Commun.}, title={Observation of strongly entangled photon pairs from a nanowire quantum dot}, volume={5}, number={5298}, author={ Versteegh, M.A.M and  Reimer, M.E and Jöns, Klaus D. and Dalacu, D and Poole, P.J and  Gulinatti, A and Giudice, A and Zwiller, V}, year={2014}, collection={Nat. Commun.} }","ama":"Versteegh MAM,  Reimer ME, Jöns KD, et al. Observation of strongly entangled photon pairs from a nanowire quantum dot. 2014;5.","mla":"Versteegh, M. A. M., et al. <i>Observation of strongly entangled photon pairs from a nanowire quantum dot</i>. 5298, 2014."}},{"citation":{"apa":"Müller, M., Bounouar, S., Jöns, K. D.,  Glässl, M., &#38;  Michler, P. (2014). <i>On-demand generation of indistinguishable polarization-entangled photon pairs</i> (Vol. 8, pp. 224–228).","ieee":"M. Müller, S. Bounouar, K. D. Jöns, M.  Glässl, and P.  Michler, “On-demand generation of indistinguishable polarization-entangled photon pairs,” vol. 8. pp. 224–228, 2014.","short":"M. Müller, S. Bounouar, K.D. Jöns, M.  Glässl, P.  Michler, 8 (2014) 224–228.","chicago":"Müller, M, S Bounouar, Klaus D. Jöns, M  Glässl, and P  Michler. “On-Demand Generation of Indistinguishable Polarization-Entangled Photon Pairs.” Nat. Photon., 2014.","mla":"Müller, M., et al. <i>On-Demand Generation of Indistinguishable Polarization-Entangled Photon Pairs</i>. 2014, pp. 224–28.","ama":"Müller M, Bounouar S, Jöns KD,  Glässl M,  Michler P. On-demand generation of indistinguishable polarization-entangled photon pairs. 2014;8:224-228.","bibtex":"@article{Müller_Bounouar_Jöns_ Glässl_ Michler_2014, series={Nat. Photon.}, title={On-demand generation of indistinguishable polarization-entangled photon pairs}, volume={8}, author={Müller, M and Bounouar, S and Jöns, Klaus D. and  Glässl, M and  Michler, P}, year={2014}, pages={224–228}, collection={Nat. Photon.} }"},"date_created":"2023-02-13T07:57:50Z","type":"conference","department":[{"_id":"623"}],"year":"2014","status":"public","title":"On-demand generation of indistinguishable polarization-entangled photon pairs","author":[{"full_name":"Müller, M","last_name":"Müller","first_name":"M"},{"full_name":"Bounouar, S","last_name":"Bounouar","first_name":"S"},{"last_name":"Jöns","first_name":"Klaus D.","full_name":"Jöns, Klaus D.","id":"85353"},{"full_name":" Glässl, M","first_name":"M","last_name":" Glässl"},{"last_name":" Michler","first_name":"P","full_name":" Michler, P"}],"date_updated":"2023-02-13T12:31:45Z","intvolume":"         8","page":"224-228","series_title":"Nat. Photon.","_id":"42026","language":[{"iso":"eng"}],"user_id":"71124","volume":8},{"external_id":{"arxiv":["1209.1055"]},"oa":"1","citation":{"ieee":"S. Gharibian and J. Kempe, “Hardness of approximation for quantum problems,” <i>Quantum Information &#38; Computation</i>, vol. 14, no. 5–6, pp. 517–540, 2014.","apa":"Gharibian, S., &#38; Kempe, J. (2014). Hardness of approximation for quantum problems. <i>Quantum Information &#38; Computation</i>, <i>14</i>(5–6), 517–540.","short":"S. Gharibian, J. Kempe, Quantum Information &#38; Computation 14 (2014) 517–540.","chicago":"Gharibian, Sevag, and Julia Kempe. “Hardness of Approximation for Quantum Problems.” <i>Quantum Information &#38; Computation</i> 14, no. 5–6 (2014): 517–40.","mla":"Gharibian, Sevag, and Julia Kempe. “Hardness of Approximation for Quantum Problems.” <i>Quantum Information &#38; Computation</i>, vol. 14, no. 5–6, 2014, pp. 517–40.","bibtex":"@article{Gharibian_Kempe_2014, title={Hardness of approximation for quantum problems}, volume={14}, number={5–6}, journal={Quantum Information &#38; Computation}, author={Gharibian, Sevag and Kempe, Julia}, year={2014}, pages={517–540} }","ama":"Gharibian S, Kempe J. Hardness of approximation for quantum problems. <i>Quantum Information &#38; Computation</i>. 2014;14(5-6):517-540."},"_id":"8171","page":"517-540","volume":14,"user_id":"71541","status":"public","date_created":"2019-03-01T11:56:55Z","department":[{"_id":"623"},{"_id":"7"}],"type":"journal_article","keyword":["Hardness of approximation","polynomial time hierarchy","succinct set cover","quantum complexity"],"publication":"Quantum Information & Computation","issue":"5-6","abstract":[{"lang":"eng","text":"The polynomial hierarchy plays a central role in classical complexity theory. Here, we define\r\na quantum generalization of the polynomial hierarchy, and initiate its study. We show that\r\nnot only are there natural complete problems for the second level of this quantum hierarchy, but that these problems are in fact hard to approximate. Using the same techniques, we\r\nalso obtain hardness of approximation for the class QCMA. Our approach is based on the\r\nuse of dispersers, and is inspired by the classical results of Umans regarding hardness of approximation for the second level of the classical polynomial hierarchy [Umans, FOCS 1999].\r\nThe problems for which we prove hardness of approximation for include, among others, a\r\nquantum version of the Succinct Set Cover problem, and a variant of the local Hamiltonian\r\nproblem with hybrid classical-quantum ground states."}],"extern":"1","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1209.1055"}],"author":[{"id":"71541","orcid":"0000-0002-9992-3379","first_name":"Sevag","last_name":"Gharibian","full_name":"Gharibian, Sevag"},{"full_name":"Kempe, Julia","last_name":"Kempe","first_name":"Julia"}],"year":"2014","title":"Hardness of approximation for quantum problems","intvolume":"        14","article_type":"original","date_updated":"2023-02-28T11:02:47Z","publication_status":"published"},{"external_id":{"arxiv":["1211.4637"]},"oa":"1","citation":{"ieee":"D. W. Berry, R. Cleve, and S. Gharibian, “Gate-efficient discrete simulations of continuous-time quantum query algorithms,” <i>Quantum Information &#38; Computation</i>, vol. 14, no. 1–2, pp. 1–30, 2014.","mla":"W. Berry, Dominic, et al. “Gate-Efficient Discrete Simulations of Continuous-Time Quantum Query Algorithms.” <i>Quantum Information &#38; Computation</i>, vol. 14, no. 1–2, 2014, pp. 1–30.","apa":"W. Berry, D., Cleve, R., &#38; Gharibian, S. (2014). Gate-efficient discrete simulations of continuous-time quantum query algorithms. <i>Quantum Information &#38; Computation</i>, <i>14</i>(1–2), 1–30.","bibtex":"@article{W. Berry_Cleve_Gharibian_2014, title={Gate-efficient discrete simulations of continuous-time quantum query algorithms}, volume={14}, number={1–2}, journal={Quantum Information &#38; Computation}, author={W. Berry, Dominic and Cleve, Richard and Gharibian, Sevag}, year={2014}, pages={1–30} }","short":"D. W. Berry, R. Cleve, S. Gharibian, Quantum Information &#38; Computation 14 (2014) 1–30.","ama":"W. Berry D, Cleve R, Gharibian S. Gate-efficient discrete simulations of continuous-time quantum query algorithms. <i>Quantum Information &#38; Computation</i>. 2014;14(1-2):1-30.","chicago":"W. Berry, Dominic, Richard Cleve, and Sevag Gharibian. “Gate-Efficient Discrete Simulations of Continuous-Time Quantum Query Algorithms.” <i>Quantum Information &#38; Computation</i> 14, no. 1–2 (2014): 1–30."},"_id":"8172","page":"1-30","volume":14,"user_id":"71541","status":"public","date_created":"2019-03-01T11:59:24Z","department":[{"_id":"623"},{"_id":"7"}],"type":"journal_article","issue":"1-2","publication":"Quantum Information & Computation","abstract":[{"lang":"eng","text":"We show how to efficiently simulate continuous-time quantum query algorithms that run in time T in a manner that preserves the query complexity (within a polylogarithmic factor) while also incurring a small overhead cost in the total number of gates between queries. By small overhead, we mean T within a factor that is polylogarithmic in terms of T and a cost measure that reflects the cost of computing the driving Hamiltonian. This permits any continuous-time quantum algorithm based on an efficiently computable driving Hamiltonian to be converted into a gate-efficient algorithm with similar running time."}],"extern":"1","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1211.4637"}],"author":[{"first_name":"Dominic","last_name":"W. Berry","full_name":"W. Berry, Dominic"},{"full_name":"Cleve, Richard","first_name":"Richard","last_name":"Cleve"},{"orcid":"0000-0002-9992-3379","first_name":"Sevag","last_name":"Gharibian","full_name":"Gharibian, Sevag","id":"71541"}],"year":"2014","title":"Gate-efficient discrete simulations of continuous-time quantum query algorithms","intvolume":"        14","article_type":"original","date_updated":"2023-02-28T11:02:58Z","publication_status":"published"},{"date_created":"2023-02-13T08:02:04Z","department":[{"_id":"623"}],"type":"conference","citation":{"mla":"Jöns, Klaus D., et al. <i>Triggered Indistinguishable Single Photons with Narrow Line Widths from Site-Controlled Quantum Dots</i>. no. 1, 2013, pp. 126–30.","ama":"Jöns KD,  Atkinson P, Müller M, et al. Triggered Indistinguishable Single Photons with Narrow Line Widths from Site-Controlled Quantum Dots. 2013;13(1):126-130.","bibtex":"@article{Jöns_ Atkinson_Müller_Heldmaier_Ulrich_Schmidt_Michler_2013, series={Nano Lett. }, title={Triggered Indistinguishable Single Photons with Narrow Line Widths from Site-Controlled Quantum Dots}, volume={13}, number={1}, author={Jöns, Klaus D. and  Atkinson, P. and Müller, M. and Heldmaier, M. and Ulrich, S. M. and Schmidt, O. G. and Michler, P.}, year={2013}, pages={126–130}, collection={Nano Lett. } }","apa":"Jöns, K. D.,  Atkinson, P., Müller, M., Heldmaier, M., Ulrich, S. M., Schmidt, O. G., &#38; Michler, P. (2013). <i>Triggered Indistinguishable Single Photons with Narrow Line Widths from Site-Controlled Quantum Dots</i> (Vol. 13, Issue 1, pp. 126–130).","ieee":"K. D. Jöns <i>et al.</i>, “Triggered Indistinguishable Single Photons with Narrow Line Widths from Site-Controlled Quantum Dots,” vol. 13, no. 1. pp. 126–130, 2013.","chicago":"Jöns, Klaus D., P.  Atkinson, M. Müller, M. Heldmaier, S. M. Ulrich, O. G. Schmidt, and P. Michler. “Triggered Indistinguishable Single Photons with Narrow Line Widths from Site-Controlled Quantum Dots.” Nano Lett. , 2013.","short":"K.D. Jöns, P.  Atkinson, M. Müller, M. Heldmaier, S.M. Ulrich, O.G. Schmidt, P. Michler, 13 (2013) 126–130."},"issue":"1","series_title":"Nano Lett. ","_id":"42027","language":[{"iso":"ger"}],"page":"126-130","volume":13,"user_id":"71124","author":[{"last_name":"Jöns","first_name":"Klaus D.","full_name":"Jöns, Klaus D.","id":"85353"},{"full_name":" Atkinson, P.","first_name":"P.","last_name":" Atkinson"},{"full_name":"Müller, M.","first_name":"M.","last_name":"Müller"},{"full_name":"Heldmaier, M.","first_name":"M.","last_name":"Heldmaier"},{"last_name":"Ulrich","first_name":"S. M.","full_name":"Ulrich, S. M."},{"last_name":"Schmidt","first_name":"O. G.","full_name":"Schmidt, O. G."},{"last_name":"Michler","first_name":"P.","full_name":"Michler, P."}],"year":"2013","status":"public","title":"Triggered Indistinguishable Single Photons with Narrow Line Widths from Site-Controlled Quantum Dots","intvolume":"        13","publication_status":"published","date_updated":"2023-02-13T12:30:09Z"},{"abstract":[{"lang":"eng","text":"This thesis studies three topics in quantum computation and information: The approximability of quantum problems, quantum proof systems, and non-classical correlations in quantum systems. \r\n\r\nIn the first area, we demonstrate a polynomial-time (classical) approximation algorithm for dense instances of the canonical QMA-complete quantum constraint satisfaction problem, the local Hamiltonian problem. In the opposite direction, we next introduce a quantum generalization of the polynomial-time hierarchy, and define problems which we prove are not only complete for the second level of this hierarchy, but are in fact hard to approximate. \r\n\r\nIn the second area, we study variants of the interesting and stubbornly open question of whether a quantum proof system with multiple unentangled quantum provers is equal in expressive power to a proof system with a single quantum prover. Our results concern classes such as BellQMA(poly), and include a novel proof of perfect parallel repetition for SepQMA(m) based on cone programming duality. \r\n\r\nIn the third area, we study non-classical quantum correlations beyond entanglement, often dubbed \"non-classicality\". Among our results are two novel schemes for quantifying non-classicality: The first proposes the new paradigm of exploiting local unitary operations to study non-classical correlations, and the second introduces a protocol through which non-classical correlations in a starting system can be \"activated\" into distillable entanglement with an ancilla system. \r\n\r\nAn introduction to all required linear algebra and quantum mechanics is included."}],"related_material":{"link":[{"relation":"confirmation","url":"https://arxiv.org/abs/1301.2632"}]},"extern":"1","citation":{"mla":"Gharibian, Sevag. <i>Approximation, Proof Systems, and Correlations in a Quantum World</i>. 2013.","bibtex":"@book{Gharibian_2013, title={Approximation, Proof Systems, and Correlations in a Quantum World}, author={Gharibian, Sevag}, year={2013} }","ama":"Gharibian S. <i>Approximation, Proof Systems, and Correlations in a Quantum World</i>.; 2013.","ieee":"S. Gharibian, <i>Approximation, Proof Systems, and Correlations in a Quantum World</i>. 2013.","apa":"Gharibian, S. (2013). <i>Approximation, Proof Systems, and Correlations in a Quantum World</i>.","chicago":"Gharibian, Sevag. <i>Approximation, Proof Systems, and Correlations in a Quantum World</i>, 2013.","short":"S. Gharibian, Approximation, Proof Systems, and Correlations in a Quantum World, 2013."},"oa":"1","department":[{"_id":"623"},{"_id":"7"}],"type":"dissertation","date_created":"2019-03-06T14:35:06Z","external_id":{"arxiv":["1301.2632"]},"date_updated":"2023-02-28T11:00:15Z","author":[{"full_name":"Gharibian, Sevag","last_name":"Gharibian","orcid":"0000-0002-9992-3379","first_name":"Sevag","id":"71541"}],"status":"public","title":"Approximation, Proof Systems, and Correlations in a Quantum World","year":"2013","user_id":"71541","language":[{"iso":"eng"}],"_id":"8425","page":"240","main_file_link":[{"open_access":"1"}]},{"article_type":"original","intvolume":"        13","publication_status":"published","date_updated":"2023-02-28T11:03:13Z","author":[{"id":"71541","full_name":"Gharibian, Sevag","last_name":"Gharibian","orcid":"0000-0002-9992-3379","first_name":"Sevag"},{"last_name":"Sikora","first_name":"Jamie","full_name":"Sikora, Jamie"},{"full_name":"Upadhyay, Sarvagya","first_name":"Sarvagya","last_name":"Upadhyay"}],"year":"2013","title":"QMA variants with polynomially many provers","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1108.0617"}],"extern":"1","abstract":[{"lang":"eng","text":"We study three variants of multi-prover quantum Merlin-Arthur proof systems. We first show that the class of problems that can be efficiently verified using polynomially many quantum proofs, each of logarithmic-size, is exactly MQA (also known as QCMA), the class of problems which can be efficiently verified via a classical proof and a quantum verifier. We then study the class BellQMA(poly), characterized by a verifier who first applies unentangled, nonadaptive measurements to each of the polynomially many proofs, followed by an arbitrary but efficient quantum verification circuit on the resulting measurement outcomes. We show that if the number of outcomes per nonadaptive measurement is a polynomially-bounded function, then the expressive power of the proof system is exactly QMA. Finally, we study a class equivalent to QMA(m), denoted SepQMA(m), where the verifier's measurement operator corresponding to outcome \"accept\" is a fully separable operator across the m quantum proofs. Using cone programming duality, we give an alternate proof of a result of Harrow and Montanaro [FOCS, pp. 633--642 (2010)] that shows a perfect parallel repetition theorem for SepQMA(m) for any m."}],"issue":"1-2","publication":"Quantum Information & Computation","department":[{"_id":"623"},{"_id":"7"}],"type":"journal_article","date_created":"2019-03-01T12:00:39Z","status":"public","volume":13,"user_id":"71541","_id":"8173","page":"135-157","citation":{"bibtex":"@article{Gharibian_Sikora_Upadhyay_2013, title={QMA variants with polynomially many provers}, volume={13}, number={1–2}, journal={Quantum Information &#38; Computation}, author={Gharibian, Sevag and Sikora, Jamie and Upadhyay, Sarvagya}, year={2013}, pages={135–157} }","ama":"Gharibian S, Sikora J, Upadhyay S. QMA variants with polynomially many provers. <i>Quantum Information &#38; Computation</i>. 2013;13(1-2):135-157.","mla":"Gharibian, Sevag, et al. “QMA Variants with Polynomially Many Provers.” <i>Quantum Information &#38; Computation</i>, vol. 13, no. 1–2, 2013, pp. 135–57.","chicago":"Gharibian, Sevag, Jamie Sikora, and Sarvagya Upadhyay. “QMA Variants with Polynomially Many Provers.” <i>Quantum Information &#38; Computation</i> 13, no. 1–2 (2013): 135–57.","short":"S. Gharibian, J. Sikora, S. Upadhyay, Quantum Information &#38; Computation 13 (2013) 135–157.","ieee":"S. Gharibian, J. Sikora, and S. Upadhyay, “QMA variants with polynomially many provers,” <i>Quantum Information &#38; Computation</i>, vol. 13, no. 1–2, pp. 135–157, 2013.","apa":"Gharibian, S., Sikora, J., &#38; Upadhyay, S. (2013). QMA variants with polynomially many provers. <i>Quantum Information &#38; Computation</i>, <i>13</i>(1–2), 135–157."},"oa":"1","external_id":{"arxiv":["1108.0617"]}},{"citation":{"mla":"Potzuweit, A., et al. “Weyl Asymptotics: From Closed to Open Systems.” <i>Physical Review E</i>, vol. 86, no. 6, 066205, American Physical Society (APS), 2012, doi:<a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>.","ama":"Potzuweit A, Weich T, Barkhofen S, Kuhl U, Stöckmann H-J, Zworski M. Weyl asymptotics: From closed to open systems. <i>Physical Review E</i>. 2012;86(6). doi:<a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>","bibtex":"@article{Potzuweit_Weich_Barkhofen_Kuhl_Stöckmann_Zworski_2012, title={Weyl asymptotics: From closed to open systems}, volume={86}, DOI={<a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>}, number={6066205}, journal={Physical Review E}, publisher={American Physical Society (APS)}, author={Potzuweit, A. and Weich, Tobias and Barkhofen, Sonja and Kuhl, U. and Stöckmann, H.-J. and Zworski, M.}, year={2012} }","apa":"Potzuweit, A., Weich, T., Barkhofen, S., Kuhl, U., Stöckmann, H.-J., &#38; Zworski, M. (2012). Weyl asymptotics: From closed to open systems. <i>Physical Review E</i>, <i>86</i>(6), Article 066205. <a href=\"https://doi.org/10.1103/physreve.86.066205\">https://doi.org/10.1103/physreve.86.066205</a>","ieee":"A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski, “Weyl asymptotics: From closed to open systems,” <i>Physical Review E</i>, vol. 86, no. 6, Art. no. 066205, 2012, doi: <a href=\"https://doi.org/10.1103/physreve.86.066205\">10.1103/physreve.86.066205</a>.","chicago":"Potzuweit, A., Tobias Weich, Sonja Barkhofen, U. Kuhl, H.-J. Stöckmann, and M. Zworski. “Weyl Asymptotics: From Closed to Open Systems.” <i>Physical Review E</i> 86, no. 6 (2012). <a href=\"https://doi.org/10.1103/physreve.86.066205\">https://doi.org/10.1103/physreve.86.066205</a>.","short":"A. Potzuweit, T. Weich, S. Barkhofen, U. Kuhl, H.-J. Stöckmann, M. Zworski, Physical Review E 86 (2012)."},"external_id":{"arxiv":["1209.2304"]},"status":"public","volume":86,"user_id":"49178","_id":"31300","publisher":"American Physical Society (APS)","issue":"6","publication":"Physical Review E","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"type":"journal_article","keyword":["Industrial and Manufacturing Engineering","Metals and Alloys","Strategy and Management","Mechanical Engineering"],"date_created":"2022-05-17T13:01:39Z","intvolume":"        86","publication_status":"published","date_updated":"2022-05-19T10:18:57Z","publication_identifier":{"issn":["1539-3755","1550-2376"]},"author":[{"full_name":"Potzuweit, A.","last_name":"Potzuweit","first_name":"A."},{"full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","first_name":"Tobias","last_name":"Weich","id":"49178"},{"first_name":"Sonja","last_name":"Barkhofen","full_name":"Barkhofen, Sonja","id":"48188"},{"first_name":"U.","last_name":"Kuhl","full_name":"Kuhl, U."},{"last_name":"Stöckmann","first_name":"H.-J.","full_name":"Stöckmann, H.-J."},{"full_name":"Zworski, M.","last_name":"Zworski","first_name":"M."}],"title":"Weyl asymptotics: From closed to open systems","year":"2012","doi":"10.1103/physreve.86.066205","language":[{"iso":"eng"}],"article_number":"066205"},{"date_updated":"2023-01-30T12:45:02Z","publication_status":"published","intvolume":"        20","title":"High resolution time-to-space conversion of sub-picosecond pulses at 155µm by non-degenerate SFG in PPLN crystal","year":"2012","author":[{"last_name":"Shayovitz","first_name":"Dror","full_name":"Shayovitz, Dror"},{"last_name":"Herrmann","first_name":"Harald","full_name":"Herrmann, Harald","id":"216"},{"full_name":"Sohler, Wolfgang","first_name":"Wolfgang","last_name":"Sohler"},{"first_name":"Raimund","last_name":"Ricken","full_name":"Ricken, Raimund"},{"id":"26263","last_name":"Silberhorn","first_name":"Christine","full_name":"Silberhorn, Christine"},{"first_name":"Dan M.","last_name":"Marom","full_name":"Marom, Dan M."}],"publication_identifier":{"issn":["1094-4087"]},"doi":"10.1364/oe.20.027388","article_number":"27388","language":[{"iso":"eng"}],"issue":"24","publication":"Optics Express","keyword":["Atomic and Molecular Physics","and Optics"],"type":"journal_article","department":[{"_id":"288"},{"_id":"15"},{"_id":"623"},{"_id":"230"}],"date_created":"2023-01-26T07:45:34Z","status":"public","user_id":"26263","volume":20,"_id":"40165","publisher":"The Optical Society","citation":{"mla":"Shayovitz, Dror, et al. “High Resolution Time-to-Space Conversion of Sub-Picosecond Pulses at 155µm by Non-Degenerate SFG in PPLN Crystal.” <i>Optics Express</i>, vol. 20, no. 24, 27388, The Optical Society, 2012, doi:<a href=\"https://doi.org/10.1364/oe.20.027388\">10.1364/oe.20.027388</a>.","bibtex":"@article{Shayovitz_Herrmann_Sohler_Ricken_Silberhorn_Marom_2012, title={High resolution time-to-space conversion of sub-picosecond pulses at 155µm by non-degenerate SFG in PPLN crystal}, volume={20}, DOI={<a href=\"https://doi.org/10.1364/oe.20.027388\">10.1364/oe.20.027388</a>}, number={2427388}, journal={Optics Express}, publisher={The Optical Society}, author={Shayovitz, Dror and Herrmann, Harald and Sohler, Wolfgang and Ricken, Raimund and Silberhorn, Christine and Marom, Dan M.}, year={2012} }","ama":"Shayovitz D, Herrmann H, Sohler W, Ricken R, Silberhorn C, Marom DM. High resolution time-to-space conversion of sub-picosecond pulses at 155µm by non-degenerate SFG in PPLN crystal. <i>Optics Express</i>. 2012;20(24). doi:<a href=\"https://doi.org/10.1364/oe.20.027388\">10.1364/oe.20.027388</a>","ieee":"D. Shayovitz, H. Herrmann, W. Sohler, R. Ricken, C. Silberhorn, and D. M. Marom, “High resolution time-to-space conversion of sub-picosecond pulses at 155µm by non-degenerate SFG in PPLN crystal,” <i>Optics Express</i>, vol. 20, no. 24, Art. no. 27388, 2012, doi: <a href=\"https://doi.org/10.1364/oe.20.027388\">10.1364/oe.20.027388</a>.","apa":"Shayovitz, D., Herrmann, H., Sohler, W., Ricken, R., Silberhorn, C., &#38; Marom, D. M. (2012). High resolution time-to-space conversion of sub-picosecond pulses at 155µm by non-degenerate SFG in PPLN crystal. <i>Optics Express</i>, <i>20</i>(24), Article 27388. <a href=\"https://doi.org/10.1364/oe.20.027388\">https://doi.org/10.1364/oe.20.027388</a>","chicago":"Shayovitz, Dror, Harald Herrmann, Wolfgang Sohler, Raimund Ricken, Christine Silberhorn, and Dan M. Marom. “High Resolution Time-to-Space Conversion of Sub-Picosecond Pulses at 155µm by Non-Degenerate SFG in PPLN Crystal.” <i>Optics Express</i> 20, no. 24 (2012). <a href=\"https://doi.org/10.1364/oe.20.027388\">https://doi.org/10.1364/oe.20.027388</a>.","short":"D. Shayovitz, H. Herrmann, W. Sohler, R. Ricken, C. Silberhorn, D.M. Marom, Optics Express 20 (2012)."}},{"citation":{"bibtex":"@article{Laiho_Avenhaus_Silberhorn_2012, title={Characteristics of displaced single photons attained via higher order factorial moments}, volume={14}, DOI={<a href=\"https://doi.org/10.1088/1367-2630/14/10/105011\">10.1088/1367-2630/14/10/105011</a>}, number={10105011}, journal={New Journal of Physics}, publisher={IOP Publishing}, author={Laiho, Kaisa and Avenhaus, Malte and Silberhorn, Christine}, year={2012} }","ama":"Laiho K, Avenhaus M, Silberhorn C. Characteristics of displaced single photons attained via higher order factorial moments. <i>New Journal of Physics</i>. 2012;14(10). doi:<a href=\"https://doi.org/10.1088/1367-2630/14/10/105011\">10.1088/1367-2630/14/10/105011</a>","mla":"Laiho, Kaisa, et al. “Characteristics of Displaced Single Photons Attained via Higher Order Factorial Moments.” <i>New Journal of Physics</i>, vol. 14, no. 10, 105011, IOP Publishing, 2012, doi:<a href=\"https://doi.org/10.1088/1367-2630/14/10/105011\">10.1088/1367-2630/14/10/105011</a>.","short":"K. Laiho, M. Avenhaus, C. Silberhorn, New Journal of Physics 14 (2012).","chicago":"Laiho, Kaisa, Malte Avenhaus, and Christine Silberhorn. “Characteristics of Displaced Single Photons Attained via Higher Order Factorial Moments.” <i>New Journal of Physics</i> 14, no. 10 (2012). <a href=\"https://doi.org/10.1088/1367-2630/14/10/105011\">https://doi.org/10.1088/1367-2630/14/10/105011</a>.","ieee":"K. Laiho, M. Avenhaus, and C. Silberhorn, “Characteristics of displaced single photons attained via higher order factorial moments,” <i>New Journal of Physics</i>, vol. 14, no. 10, Art. no. 105011, 2012, doi: <a href=\"https://doi.org/10.1088/1367-2630/14/10/105011\">10.1088/1367-2630/14/10/105011</a>.","apa":"Laiho, K., Avenhaus, M., &#38; Silberhorn, C. (2012). Characteristics of displaced single photons attained via higher order factorial moments. <i>New Journal of Physics</i>, <i>14</i>(10), Article 105011. <a href=\"https://doi.org/10.1088/1367-2630/14/10/105011\">https://doi.org/10.1088/1367-2630/14/10/105011</a>"},"publisher":"IOP Publishing","_id":"40167","user_id":"26263","volume":14,"status":"public","date_created":"2023-01-26T07:48:21Z","keyword":["General Physics and Astronomy"],"type":"journal_article","department":[{"_id":"288"},{"_id":"15"},{"_id":"623"},{"_id":"230"}],"issue":"10","publication":"New Journal of Physics","article_number":"105011","language":[{"iso":"eng"}],"doi":"10.1088/1367-2630/14/10/105011","year":"2012","title":"Characteristics of displaced single photons attained via higher order factorial moments","author":[{"last_name":"Laiho","first_name":"Kaisa","full_name":"Laiho, Kaisa"},{"first_name":"Malte","last_name":"Avenhaus","full_name":"Avenhaus, Malte"},{"id":"26263","full_name":"Silberhorn, Christine","last_name":"Silberhorn","first_name":"Christine"}],"publication_identifier":{"issn":["1367-2630"]},"date_updated":"2023-01-30T12:45:38Z","publication_status":"published","intvolume":"        14"},{"citation":{"mla":"Rastelli, A., et al. <i>Controlling Quantum Dot Emission by Integration of Semiconductor Nanomembranes onto Piezoelectric Actuators</i>. no. 4, 2012, pp. 687–96.","bibtex":"@article{Rastelli_Ding_Plumhof_Kumar_Trotta_Deneke_ Malachias_Atkinson_Zallo_Zander_et al._2012, series={Phys. Status Solidi B }, title={Controlling quantum dot emission by integration of semiconductor nanomembranes onto piezoelectric actuators}, volume={249}, number={4}, author={Rastelli, A and Ding, F and Plumhof, J.D and Kumar, S and Trotta, R and Deneke, C and  Malachias, A and Atkinson, P and Zallo, E and Zander, T and et al.}, year={2012}, pages={687–696}, collection={Phys. Status Solidi B } }","ama":"Rastelli A, Ding F, Plumhof JD, et al. Controlling quantum dot emission by integration of semiconductor nanomembranes onto piezoelectric actuators. 2012;249(4):687-696.","ieee":"A. Rastelli <i>et al.</i>, “Controlling quantum dot emission by integration of semiconductor nanomembranes onto piezoelectric actuators,” vol. 249, no. 4. pp. 687–696, 2012.","apa":"Rastelli, A., Ding, F., Plumhof, J. D., Kumar, S., Trotta, R., Deneke, C.,  Malachias, A., Atkinson, P., Zallo, E., Zander, T., Herklotz, A.,  Singh, R., Krápek, V., Schrötel, J. R.,  Kiravittaya, S., Benyoucef, M., Hafenbrak, R., Jöns, K. D., Thurmer, D. J., … Schmidt, O. G. (2012). <i>Controlling quantum dot emission by integration of semiconductor nanomembranes onto piezoelectric actuators</i> (Vol. 249, Issue 4, pp. 687–696).","chicago":"Rastelli, A, F Ding, J.D Plumhof, S Kumar, R Trotta, C Deneke, A  Malachias, et al. “Controlling Quantum Dot Emission by Integration of Semiconductor Nanomembranes onto Piezoelectric Actuators.” Phys. Status Solidi B , 2012.","short":"A. Rastelli, F. Ding, J.D. Plumhof, S. Kumar, R. Trotta, C. Deneke, A.  Malachias, P. Atkinson, E. Zallo, T. Zander, A. Herklotz, R.  Singh, V. Krápek, J.R. Schrötel, S.  Kiravittaya, M. Benyoucef, R. Hafenbrak, K.D. Jöns, D.J. Thurmer, D. Grimm, G.  Bester, K. Dörr, P. Michler, O.G. Schmidt, 249 (2012) 687–696."},"issue":"4","date_created":"2023-02-13T08:44:08Z","department":[{"_id":"623"}],"type":"conference","author":[{"full_name":"Rastelli, A","first_name":"A","last_name":"Rastelli"},{"full_name":"Ding, F","first_name":"F","last_name":"Ding"},{"last_name":"Plumhof","first_name":"J.D","full_name":"Plumhof, J.D"},{"full_name":"Kumar, S","last_name":"Kumar","first_name":"S"},{"first_name":"R","last_name":"Trotta","full_name":"Trotta, R"},{"full_name":"Deneke, C","last_name":"Deneke","first_name":"C"},{"last_name":" Malachias","first_name":"A","full_name":" Malachias, A"},{"first_name":"P","last_name":"Atkinson","full_name":"Atkinson, P"},{"first_name":"E","last_name":"Zallo","full_name":"Zallo, E"},{"first_name":"T","last_name":"Zander","full_name":"Zander, T"},{"first_name":"A","last_name":"Herklotz","full_name":"Herklotz, A"},{"full_name":" Singh, R","first_name":"R","last_name":" Singh"},{"full_name":"Krápek, V","last_name":"Krápek","first_name":"V"},{"first_name":"J.R","last_name":"Schrötel","full_name":"Schrötel, J.R"},{"first_name":"S","last_name":" Kiravittaya","full_name":" Kiravittaya, S"},{"full_name":"Benyoucef,, M","first_name":"M","last_name":"Benyoucef,"},{"first_name":"R","last_name":"Hafenbrak","full_name":"Hafenbrak, R"},{"id":"85353","full_name":"Jöns, Klaus D.","last_name":"Jöns","first_name":"Klaus D."},{"full_name":"Thurmer, D.J","first_name":"D.J","last_name":"Thurmer"},{"last_name":"Grimm","first_name":"D","full_name":"Grimm, D"},{"first_name":"G","last_name":" Bester","full_name":" Bester, G"},{"last_name":"Dörr","first_name":"K","full_name":"Dörr, K"},{"first_name":"P","last_name":"Michler","full_name":"Michler, P"},{"full_name":"Schmidt, O.G","last_name":"Schmidt","first_name":"O.G"}],"year":"2012","status":"public","title":"Controlling quantum dot emission by integration of semiconductor nanomembranes onto piezoelectric actuators","intvolume":"       249","date_updated":"2023-02-13T08:44:28Z","_id":"42033","language":[{"iso":"eng"}],"series_title":"Phys. Status Solidi B ","page":"687-696","volume":249,"user_id":"71124"},{"citation":{"bibtex":"@article{Hermannstädter_ Witzany_Heldmaier_Hafenbrak_Jöns_Beirne_Michler_2012, series={Journal of Applied Physics }, title={Polarization anisotropic luminescence of tunable single lateral quantum dot molecules}, volume={111}, number={063526}, author={Hermannstädter, C and  Witzany, M and Heldmaier, M and Hafenbrak, R and Jöns, Klaus D. and Beirne, G.J and Michler, P}, year={2012}, collection={Journal of Applied Physics } }","ama":"Hermannstädter C,  Witzany M, Heldmaier M, et al. Polarization anisotropic luminescence of tunable single lateral quantum dot molecules. 2012;111.","mla":"Hermannstädter, C., et al. <i>Polarization anisotropic luminescence of tunable single lateral quantum dot molecules</i>. 063526, 2012.","chicago":"Hermannstädter, C, M  Witzany, M Heldmaier, R Hafenbrak, Klaus D. Jöns, G.J Beirne, and P Michler. “Polarization anisotropic luminescence of tunable single lateral quantum dot molecules.” Journal of Applied Physics , 2012.","short":"C. Hermannstädter, M.  Witzany, M. Heldmaier, R. Hafenbrak, K.D. Jöns, G.J. Beirne, P. Michler, 111 (2012).","ieee":"C. Hermannstädter <i>et al.</i>, “Polarization anisotropic luminescence of tunable single lateral quantum dot molecules,” vol. 111. 2012.","apa":"Hermannstädter, C.,  Witzany, M., Heldmaier, M., Hafenbrak, R., Jöns, K. D., Beirne, G. J., &#38; Michler, P. 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D., Hafenbrak, R., Atkinson, P., Rastelli, A., Schmidt, O. G., &#38; Michler, P. (2012). <i>Quantum state tomography measurements on strain-tuned In(x)Ga(1−x)As/GaAs quantum dots</i> (Vol. 249, Issue 4, pp. 697–701).","ieee":"K. D. Jöns, R. Hafenbrak, P. Atkinson, A. Rastelli, O. G. Schmidt, and P. Michler, “Quantum state tomography measurements on strain-tuned In(x)Ga(1−x)As/GaAs quantum dots,” vol. 249, no. 4. pp. 697–701, 2012.","chicago":"Jöns, Klaus D., R Hafenbrak, P Atkinson, A Rastelli, O.G Schmidt, and P Michler. “Quantum State Tomography Measurements on Strain-Tuned In(x)Ga(1−x)As/GaAs Quantum Dots.” Phys. Status Solidi B , 2012.","short":"K.D. Jöns, R. Hafenbrak, P. Atkinson, A. Rastelli, O.G. Schmidt, P. Michler, 249 (2012) 697–701.","mla":"Jöns, Klaus D., et al. <i>Quantum State Tomography Measurements on Strain-Tuned In(x)Ga(1−x)As/GaAs Quantum Dots</i>. no. 4, 2012, pp. 697–701.","ama":"Jöns KD, Hafenbrak R, Atkinson P, Rastelli A, Schmidt OG, Michler P. Quantum state tomography measurements on strain-tuned In(x)Ga(1−x)As/GaAs quantum dots. 2012;249(4):697-701.","bibtex":"@article{Jöns_Hafenbrak_Atkinson_Rastelli_Schmidt_Michler_2012, series={Phys. Status Solidi B }, title={Quantum state tomography measurements on strain-tuned In(x)Ga(1−x)As/GaAs quantum dots}, volume={249}, number={4}, author={Jöns, Klaus D. and Hafenbrak, R and Atkinson, P and Rastelli, A and Schmidt, O.G and Michler, P}, year={2012}, pages={697–701}, collection={Phys. Status Solidi B } }"},"date_created":"2023-02-13T08:13:12Z","type":"conference","department":[{"_id":"623"}],"title":"Quantum state tomography measurements on strain-tuned In(x)Ga(1−x)As/GaAs quantum dots","year":"2012","status":"public","author":[{"first_name":"Klaus D.","last_name":"Jöns","full_name":"Jöns, Klaus D.","id":"85353"},{"full_name":"Hafenbrak, R","first_name":"R","last_name":"Hafenbrak"},{"full_name":"Atkinson, P","last_name":"Atkinson","first_name":"P"},{"first_name":"A","last_name":"Rastelli","full_name":"Rastelli, A"},{"first_name":"O.G","last_name":"Schmidt","full_name":"Schmidt, O.G"},{"first_name":"P","last_name":"Michler","full_name":"Michler, P"}],"date_updated":"2023-02-13T08:44:41Z","intvolume":"       249","page":"697-701","_id":"42029","language":[{"iso":"eng"}],"series_title":"Phys. Status Solidi B ","user_id":"71124","volume":249},{"place":"Berlin, Heidelberg","external_id":{"arxiv":["1209.1055"]},"oa":"1","citation":{"apa":"Gharibian, S., &#38; Kempe, J. (2012). Hardness of Approximation for Quantum Problems. In A. Czumaj, K. Mehlhorn, A. Pitts, &#38; R. Wattenhofer (Eds.), <i>International Colloquium on Automata, Languages, and Programming (ICALP 2012)</i> (pp. 387–398). Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/978-3-642-31594-7_33\">https://doi.org/10.1007/978-3-642-31594-7_33</a>","ieee":"S. Gharibian and J. Kempe, “Hardness of Approximation for Quantum Problems,” in <i>International Colloquium on Automata, Languages, and Programming (ICALP 2012)</i>, Warwick, UK, 2012, pp. 387–398, doi: <a href=\"https://doi.org/10.1007/978-3-642-31594-7_33\">10.1007/978-3-642-31594-7_33</a>.","chicago":"Gharibian, Sevag, and Julia Kempe. “Hardness of Approximation for Quantum Problems.” In <i>International Colloquium on Automata, Languages, and Programming (ICALP 2012)</i>, edited by Artur Czumaj, Kurt Mehlhorn, Andrew Pitts, and Roger Wattenhofer, 387–98. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. <a href=\"https://doi.org/10.1007/978-3-642-31594-7_33\">https://doi.org/10.1007/978-3-642-31594-7_33</a>.","short":"S. Gharibian, J. Kempe, in: A. Czumaj, K. Mehlhorn, A. Pitts, R. Wattenhofer (Eds.), International Colloquium on Automata, Languages, and Programming (ICALP 2012), Springer Berlin Heidelberg, Berlin, Heidelberg, 2012, pp. 387–398.","mla":"Gharibian, Sevag, and Julia Kempe. “Hardness of Approximation for Quantum Problems.” <i>International Colloquium on Automata, Languages, and Programming (ICALP 2012)</i>, edited by Artur Czumaj et al., Springer Berlin Heidelberg, 2012, pp. 387–98, doi:<a href=\"https://doi.org/10.1007/978-3-642-31594-7_33\">10.1007/978-3-642-31594-7_33</a>.","ama":"Gharibian S, Kempe J. Hardness of Approximation for Quantum Problems. In: Czumaj A, Mehlhorn K, Pitts A, Wattenhofer R, eds. <i>International Colloquium on Automata, Languages, and Programming (ICALP 2012)</i>. Springer Berlin Heidelberg; 2012:387-398. doi:<a href=\"https://doi.org/10.1007/978-3-642-31594-7_33\">10.1007/978-3-642-31594-7_33</a>","bibtex":"@inproceedings{Gharibian_Kempe_2012, place={Berlin, Heidelberg}, title={Hardness of Approximation for Quantum Problems}, DOI={<a href=\"https://doi.org/10.1007/978-3-642-31594-7_33\">10.1007/978-3-642-31594-7_33</a>}, booktitle={International Colloquium on Automata, Languages, and Programming (ICALP 2012)}, publisher={Springer Berlin Heidelberg}, author={Gharibian, Sevag and Kempe, Julia}, editor={Czumaj, Artur and Mehlhorn, Kurt and Pitts, Andrew and Wattenhofer, Roger}, year={2012}, pages={387–398} }"},"publisher":"Springer Berlin Heidelberg","_id":"8169","page":"387-398","editor":[{"full_name":"Czumaj, Artur","first_name":"Artur","last_name":"Czumaj"},{"full_name":"Mehlhorn, Kurt","last_name":"Mehlhorn","first_name":"Kurt"},{"first_name":"Andrew","last_name":"Pitts","full_name":"Pitts, Andrew"},{"last_name":"Wattenhofer","first_name":"Roger","full_name":"Wattenhofer, Roger"}],"user_id":"71541","conference":{"location":"Warwick, UK","name":"International Colloquium on Automata, Languages, and Programming (ICALP)"},"status":"public","date_created":"2019-03-01T11:55:18Z","department":[{"_id":"623"},{"_id":"7"}],"type":"conference","publication":"International Colloquium on Automata, Languages, and Programming (ICALP 2012)","extern":"1","abstract":[{"text":"The polynomial hierarchy plays a central role in classical complexity theory. Here, we define a quantum generalization of the polynomial hierarchy, and initiate its study. We show that not only are there natural complete problems for the second level of this quantum hierarchy, but that these problems are in fact hard to approximate. Our work thus yields the first known hardness of approximation results for a quantum complexity class. Using these techniques, we also obtain hardness of approximation for the class QCMA. Our approach is based on the use of dispersers, and is inspired by the classical results of Umans regarding hardness of approximation for the second level of the classical polynomial hierarchy (Umans 1999). We close by showing that a variant of the local Hamiltonian problem with hybrid classical-quantum ground states is complete for the second level of our quantum hierarchy.","lang":"eng"}],"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/1209.1055","open_access":"1"}],"doi":"10.1007/978-3-642-31594-7_33","author":[{"orcid":"0000-0002-9992-3379","first_name":"Sevag","last_name":"Gharibian","full_name":"Gharibian, Sevag","id":"71541"},{"full_name":"Kempe, Julia","last_name":"Kempe","first_name":"Julia"}],"publication_identifier":{"isbn":["978-3-642-31594-7"]},"title":"Hardness of Approximation for Quantum Problems","year":"2012","publication_status":"published","date_updated":"2023-02-28T11:03:26Z"},{"type":"journal_article","department":[{"_id":"623"},{"_id":"7"}],"date_created":"2019-03-01T12:04:03Z","extern":"1","abstract":[{"lang":"eng","text":"Approximation algorithms for classical constraint satisfaction problems are one of the main research areas in theoretical computer science. Here we define a natural approximation version of the QMA-complete local Hamiltonian problem (where QMA stands for Quantum Merlin Arthur) and initiate its study. We present two main results. The first shows that a nontrivial approximation ratio can be obtained in the class NP using product states. The second result (which builds on the first one) gives a polynomial time (classical) algorithm providing a similar approximation ratio for dense instances of the problem. The latter result is based on an adaptation of the “exhaustive sampling method” by Arora, Karger, and Karpinski [J. Comput. System Sci., 58 (1999), p. 193] to the quantum setting and might be of independent interest."}],"publication":"SIAM Journal on Computing","issue":"4","doi":"10.1137/110842272","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1101.3884"}],"language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-02-28T11:03:50Z","article_type":"original","intvolume":"        41","title":"Approximation Algorithms for QMA-Complete Problems","year":"2012","publication_identifier":{"issn":["0097-5397","1095-7111"]},"author":[{"orcid":"0000-0002-9992-3379","first_name":"Sevag","last_name":"Gharibian","full_name":"Gharibian, Sevag","id":"71541"},{"full_name":"Kempe, Julia","last_name":"Kempe","first_name":"Julia"}],"oa":"1","external_id":{"arxiv":["1101.3884"]},"citation":{"short":"S. Gharibian, J. Kempe, SIAM Journal on Computing 41 (2012) 1028–1050.","ama":"Gharibian S, Kempe J. Approximation Algorithms for QMA-Complete Problems. <i>SIAM Journal on Computing</i>. 2012;41(4):1028-1050. doi:<a href=\"https://doi.org/10.1137/110842272\">10.1137/110842272</a>","chicago":"Gharibian, Sevag, and Julia Kempe. “Approximation Algorithms for QMA-Complete Problems.” <i>SIAM Journal on Computing</i> 41, no. 4 (2012): 1028–50. <a href=\"https://doi.org/10.1137/110842272\">https://doi.org/10.1137/110842272</a>.","bibtex":"@article{Gharibian_Kempe_2012, title={Approximation Algorithms for QMA-Complete Problems}, volume={41}, DOI={<a href=\"https://doi.org/10.1137/110842272\">10.1137/110842272</a>}, number={4}, journal={SIAM Journal on Computing}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Gharibian, Sevag and Kempe, Julia}, year={2012}, pages={1028–1050} }","mla":"Gharibian, Sevag, and Julia Kempe. “Approximation Algorithms for QMA-Complete Problems.” <i>SIAM Journal on Computing</i>, vol. 41, no. 4, Society for Industrial &#38; Applied Mathematics (SIAM), 2012, pp. 1028–50, doi:<a href=\"https://doi.org/10.1137/110842272\">10.1137/110842272</a>.","apa":"Gharibian, S., &#38; Kempe, J. (2012). Approximation Algorithms for QMA-Complete Problems. <i>SIAM Journal on Computing</i>, <i>41</i>(4), 1028–1050. <a href=\"https://doi.org/10.1137/110842272\">https://doi.org/10.1137/110842272</a>","ieee":"S. Gharibian and J. Kempe, “Approximation Algorithms for QMA-Complete Problems,” <i>SIAM Journal on Computing</i>, vol. 41, no. 4, pp. 1028–1050, 2012, doi: <a href=\"https://doi.org/10.1137/110842272\">10.1137/110842272</a>."},"user_id":"71541","volume":41,"page":"1028-1050","_id":"8175","publisher":"Society for Industrial & Applied Mathematics (SIAM)","status":"public"},{"doi":"10.1103/PhysRevA.86.042106","main_file_link":[{"url":"https://arxiv.org/abs/1202.1598","open_access":"1"}],"language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-02-28T11:03:38Z","article_type":"original","intvolume":"        86","title":"Quantifying nonclassicality with local unitary operations","year":"2012","author":[{"last_name":"Gharibian","orcid":"0000-0002-9992-3379","first_name":"Sevag","full_name":"Gharibian, Sevag","id":"71541"}],"type":"journal_article","department":[{"_id":"623"},{"_id":"7"}],"date_created":"2019-03-01T12:01:41Z","extern":"1","abstract":[{"lang":"eng","text":"We propose a measure of non-classical correlations in bipartite quantum states based on local unitary operations. We prove the measure is non-zero if and only if the quantum discord is non-zero; this is achieved via a new characterization of zero discord states in terms of the state's correlation matrix. Moreover, our scheme can be extended to ensure the same relationship holds even with a generalized version of quantum discord in which higher-rank projective measurements are allowed. We next derive a closed form expression for our scheme in the cases of Werner states and (2 x N)-dimensional systems. The latter reveals that for (2 x N)-dimensional states, our measure reduces to the geometric discord [Dakic et al., PRL 105, 2010]. A connection to the CHSH inequality is shown. We close with a characterization of all maximally non-classical, yet separable, (2 x N)-dimensional states of rank at most two (with respect to our measure)."}],"publication":"Physical Review A","user_id":"71541","volume":86,"page":"042106","_id":"8174","publisher":"American Physical Society","status":"public","oa":"1","external_id":{"arxiv":["1202.1598"]},"citation":{"chicago":"Gharibian, Sevag. “Quantifying Nonclassicality with Local Unitary Operations.” <i>Physical Review A</i> 86 (2012): 042106. <a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">https://doi.org/10.1103/PhysRevA.86.042106</a>.","short":"S. Gharibian, Physical Review A 86 (2012) 042106.","apa":"Gharibian, S. (2012). Quantifying nonclassicality with local unitary operations. <i>Physical Review A</i>, <i>86</i>, 042106. <a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">https://doi.org/10.1103/PhysRevA.86.042106</a>","ieee":"S. Gharibian, “Quantifying nonclassicality with local unitary operations,” <i>Physical Review A</i>, vol. 86, p. 042106, 2012, doi: <a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">10.1103/PhysRevA.86.042106</a>.","ama":"Gharibian S. Quantifying nonclassicality with local unitary operations. <i>Physical Review A</i>. 2012;86:042106. doi:<a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">10.1103/PhysRevA.86.042106</a>","bibtex":"@article{Gharibian_2012, title={Quantifying nonclassicality with local unitary operations}, volume={86}, DOI={<a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">10.1103/PhysRevA.86.042106</a>}, journal={Physical Review A}, publisher={American Physical Society}, author={Gharibian, Sevag}, year={2012}, pages={042106} }","mla":"Gharibian, Sevag. “Quantifying Nonclassicality with Local Unitary Operations.” <i>Physical Review A</i>, vol. 86, American Physical Society, 2012, p. 042106, doi:<a href=\"https://doi.org/10.1103/PhysRevA.86.042106\">10.1103/PhysRevA.86.042106</a>."}},{"department":[{"_id":"623"}],"type":"conference","date_created":"2023-02-13T08:26:54Z","citation":{"mla":"Plumhof, J. D., et al. <i>Strain-Induced Anticrossing of Bright Exciton Levels in Single Self-Assembled GaAs/Al(x)Ga(1−x)As and In(x)Ga(1−x)As/GaAs Quantum Dots</i>. 121302, 2011.","ama":"Plumhof JD,  Krápek V, Ding F, et al. Strain-induced anticrossing of bright exciton levels in single self-assembled GaAs/Al(x)Ga(1−x)As and In(x)Ga(1−x)As/GaAs quantum dots. 2011;83.","bibtex":"@article{Plumhof_ Krápek_Ding_Jöns_Hafenbrak_ Klenovský_Herklotz_ Dörr_ Michler _Rastelli,_et al._2011, series={Phys. Rev. B}, title={Strain-induced anticrossing of bright exciton levels in single self-assembled GaAs/Al(x)Ga(1−x)As and In(x)Ga(1−x)As/GaAs quantum dots}, volume={83}, number={121302}, author={Plumhof, J.D and  Krápek, V and Ding, F and Jöns, Klaus D. and Hafenbrak, R and  Klenovský, P and Herklotz, A and  Dörr, K and  Michler , P and Rastelli, A and et al.}, year={2011}, collection={Phys. Rev. B} }","apa":"Plumhof, J. D.,  Krápek, V., Ding, F., Jöns, K. D., Hafenbrak, R.,  Klenovský, P., Herklotz, A.,  Dörr, K.,  Michler , P., Rastelli, A., &#38; Schmidt, O. G. (2011). <i>Strain-induced anticrossing of bright exciton levels in single self-assembled GaAs/Al(x)Ga(1−x)As and In(x)Ga(1−x)As/GaAs quantum dots</i> (No. 121302; Vol. 83).","ieee":"J. D. Plumhof <i>et al.</i>, “Strain-induced anticrossing of bright exciton levels in single self-assembled GaAs/Al(x)Ga(1−x)As and In(x)Ga(1−x)As/GaAs quantum dots,” vol. 83. 2011.","chicago":"Plumhof, J.D, V  Krápek, F Ding, Klaus D. Jöns, R Hafenbrak, P  Klenovský, A Herklotz, et al. “Strain-Induced Anticrossing of Bright Exciton Levels in Single Self-Assembled GaAs/Al(x)Ga(1−x)As and In(x)Ga(1−x)As/GaAs Quantum Dots.” Phys. Rev. B, 2011.","short":"J.D. Plumhof, V.  Krápek, F. Ding, K.D. Jöns, R. Hafenbrak, P.  Klenovský, A. Herklotz, K.  Dörr, P.  Michler , A. Rastelli,, O.G. Schmidt, 83 (2011)."},"volume":83,"user_id":"71124","series_title":"Phys. Rev. B","_id":"42031","language":[{"iso":"eng"}],"article_number":"121302","intvolume":"        83","date_updated":"2023-02-13T08:44:35Z","author":[{"full_name":"Plumhof, J.D","last_name":"Plumhof","first_name":"J.D"},{"first_name":"V","last_name":" Krápek","full_name":" Krápek, V"},{"last_name":"Ding","first_name":"F","full_name":"Ding, F"},{"id":"85353","last_name":"Jöns","first_name":"Klaus D.","full_name":"Jöns, Klaus D."},{"full_name":"Hafenbrak, R","first_name":"R","last_name":"Hafenbrak"},{"last_name":" Klenovský","first_name":"P","full_name":" Klenovský, P"},{"full_name":"Herklotz, A","last_name":"Herklotz","first_name":"A"},{"full_name":" Dörr, K","first_name":"K","last_name":" Dörr"},{"last_name":" Michler ","first_name":"P","full_name":" Michler , P"},{"full_name":"Rastelli,, A","last_name":"Rastelli,","first_name":"A"},{"full_name":"Schmidt, O.G","last_name":"Schmidt","first_name":"O.G"}],"title":"Strain-induced anticrossing of bright exciton levels in single self-assembled GaAs/Al(x)Ga(1−x)As and In(x)Ga(1−x)As/GaAs quantum dots","year":"2011","status":"public"}]
