@article{22956,
  abstract     = {{Parametric down-conversion (PDC) forms one of the basic building blocks for quantum optical experiments. However, the intrinsic multimode spectral-temporal structure of pulsed PDC often poses a severe hindrance for the direct implementation of the heralding of pure single-photon states or, for example, continuous-variable entanglement distillation experiments. To get rid of multimode effects narrowband frequency filtering is frequently applied to achieve a single-mode behavior. A rigorous theoretical description to accurately describe the effects of filtering on PDC, however, is still missing. To date, the theoretical models of filtered PDC are rooted in the discrete-variable domain and only account for filtering in the low-gain regime, where only a few photon pairs are emitted at any single point in time. In this paper we extend these theoretical descriptions and put forward a simple model, which is able to accurately describe the effects of filtering on PDC in the continuous-variable domain. This developed straightforward theoretical framework enables us to accurately quantify the tradeoff between suppression of higher-order modes, reduced purity, and lowered Einstein–Podolsky–Rosen entanglement, when narrowband filters are applied to multimode type-II PDC.}},
  author       = {{Christ, Andreas and Lupo, Cosmo and Reichelt, Matthias and Meier, Torsten and Silberhorn, Christine}},
  issn         = {{1050-2947}},
  journal      = {{Physical Review A}},
  number       = {{2}},
  title        = {{{Theory of filtered type-II parametric down-conversion in the continuous-variable domain: Quantifying the impacts of filtering}}},
  doi          = {{10.1103/physreva.90.023823}},
  volume       = {{90}},
  year         = {{2014}},
}

@article{26044,
  author       = {{Krapick, S. and Stefszky, Michael and Jachura, M. and Brecht, Benjamin and Avenhaus, M. and Silberhorn, Christine}},
  issn         = {{1050-2947}},
  journal      = {{Physical Review A}},
  title        = {{{Bright integrated photon-pair source for practical passive decoy-state quantum key distribution}}},
  doi          = {{10.1103/physreva.89.012329}},
  year         = {{2014}},
}

@article{31298,
  author       = {{Barkhofen, Sonja and Weich, Tobias and Potzuweit, A. and Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{16}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Experimental Observation of the Spectral Gap in Microwave n-Disk Systems}}},
  doi          = {{10.1103/physrevlett.110.164102}},
  volume       = {{110}},
  year         = {{2013}},
}

@article{39542,
  author       = {{Shayovitz, Dror and Herrmann, Harald and Sohler, Wolfgang and Ricken, Raimund and Silberhorn, Christine and Marom, Dan M.}},
  issn         = {{0146-9592}},
  journal      = {{Optics Letters}},
  keywords     = {{Atomic and Molecular Physics, and Optics}},
  number       = {{22}},
  publisher    = {{The Optical Society}},
  title        = {{{Time-to-space conversion of ultrafast waveforms at 155  μm in a planar periodically poled lithium niobate waveguide}}},
  doi          = {{10.1364/ol.38.004708}},
  volume       = {{38}},
  year         = {{2013}},
}

@article{39551,
  author       = {{Herrmann, Harald and Yang, Xu and Thomas, Abu and Poppe, Andreas and Sohler, Wolfgang and Silberhorn, Christine}},
  issn         = {{1094-4087}},
  journal      = {{Optics Express}},
  keywords     = {{Atomic and Molecular Physics, and Optics}},
  number       = {{23}},
  publisher    = {{The Optical Society}},
  title        = {{{Post-selection free, integrated optical source of non-degenerate, polarization entangled photon pairs}}},
  doi          = {{10.1364/oe.21.027981}},
  volume       = {{21}},
  year         = {{2013}},
}

@article{40163,
  author       = {{Förtsch, Michael and Fürst, Josef U. and Wittmann, Christoffer and Strekalov, Dmitry and Aiello, Andrea and Chekhova, Maria V. and Silberhorn, Christine and Leuchs, Gerd and Marquardt, Christoph}},
  issn         = {{2041-1723}},
  journal      = {{Nature Communications}},
  keywords     = {{General Physics and Astronomy, General Biochemistry, Genetics and Molecular Biology, General Chemistry, Multidisciplinary}},
  number       = {{1}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{A versatile source of single photons for quantum information processing}}},
  doi          = {{10.1038/ncomms2838}},
  volume       = {{4}},
  year         = {{2013}},
}

@article{39033,
  author       = {{Rohde, Peter P. and Schreiber, Andreas and Štefaňák, Martin and Jex, Igor and Gilchrist, Alexei and Silberhorn, Christine}},
  issn         = {{1546-1955}},
  journal      = {{Journal of Computational and Theoretical Nanoscience}},
  keywords     = {{Electrical and Electronic Engineering, Computational Mathematics, Condensed Matter Physics, General Materials Science, General Chemistry}},
  number       = {{7}},
  pages        = {{1644--1652}},
  publisher    = {{American Scientific Publishers}},
  title        = {{{Increasing the Dimensionality of Quantum Walks Using Multiple Walkers}}},
  doi          = {{10.1166/jctn.2013.3104}},
  volume       = {{10}},
  year         = {{2013}},
}

@article{40160,
  author       = {{Kruse, R and Katzschmann, F and Christ, A and Schreiber, A and Wilhelm, S and Laiho, K and Gábris, A and Hamilton, C S and Jex, I and Silberhorn, Christine}},
  issn         = {{1367-2630}},
  journal      = {{New Journal of Physics}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{8}},
  publisher    = {{IOP Publishing}},
  title        = {{{Spatio-spectral characteristics of parametric down-conversion in waveguide arrays}}},
  doi          = {{10.1088/1367-2630/15/8/083046}},
  volume       = {{15}},
  year         = {{2013}},
}

@article{40173,
  abstract     = {{<jats:title>Here, There, Everywhere</jats:title>
          <jats:p>
            Random walks are a powerful mathematical method that can be used to simulate certain processes in biology, chemistry, or even the stock market. They present a statistical method for mapping the possible routes that processes can take. Quantum walks are expected to be able to probe multiple paths simultaneously. Quantum walks have been demonstrated for one-dimensional, or straight-line, walks. Now,
            <jats:bold>
              Schreiber
              <jats:italic>et al.</jats:italic>
            </jats:bold>
            (p.
            <jats:related-article xmlns:xlink="http://www.w3.org/1999/xlink" ext-link-type="doi" page="55" related-article-type="in-this-issue" vol="336" xlink:href="10.1126/science.1218448">55</jats:related-article>
            , published online 8 March) demonstrate an optical system that can simulate quantum walks over a two-dimensional system, thereby providing the capability of describing much more complex processes.
          </jats:p>}},
  author       = {{Schreiber, Andreas and Gábris, Aurél and Rohde, Peter P. and Laiho, Kaisa and Štefaňák, Martin and Potoček, Václav and Hamilton, Craig and Jex, Igor and Silberhorn, Christine}},
  issn         = {{0036-8075}},
  journal      = {{Science}},
  keywords     = {{Multidisciplinary}},
  number       = {{6077}},
  pages        = {{55--58}},
  publisher    = {{American Association for the Advancement of Science (AAAS)}},
  title        = {{{A 2D Quantum Walk Simulation of Two-Particle Dynamics}}},
  doi          = {{10.1126/science.1218448}},
  volume       = {{336}},
  year         = {{2012}},
}

@article{40175,
  author       = {{Christ, Andreas and Silberhorn, Christine}},
  issn         = {{1050-2947}},
  journal      = {{Physical Review A}},
  keywords     = {{Atomic and Molecular Physics, and Optics}},
  number       = {{2}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Limits on the deterministic creation of pure single-photon states using parametric down-conversion}}},
  doi          = {{10.1103/physreva.85.023829}},
  volume       = {{85}},
  year         = {{2012}},
}

@article{40165,
  author       = {{Shayovitz, Dror and Herrmann, Harald and Sohler, Wolfgang and Ricken, Raimund and Silberhorn, Christine and Marom, Dan M.}},
  issn         = {{1094-4087}},
  journal      = {{Optics Express}},
  keywords     = {{Atomic and Molecular Physics, and Optics}},
  number       = {{24}},
  publisher    = {{The Optical Society}},
  title        = {{{High resolution time-to-space conversion of sub-picosecond pulses at 155µm by non-degenerate SFG in PPLN crystal}}},
  doi          = {{10.1364/oe.20.027388}},
  volume       = {{20}},
  year         = {{2012}},
}

@article{40170,
  author       = {{Christ, Andreas and Lupo, Cosmo and Silberhorn, Christine}},
  issn         = {{1367-2630}},
  journal      = {{New Journal of Physics}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{8}},
  publisher    = {{IOP Publishing}},
  title        = {{{Exponentially enhanced quantum communication rate by multiplexing continuous-variable teleportation}}},
  doi          = {{10.1088/1367-2630/14/8/083007}},
  volume       = {{14}},
  year         = {{2012}},
}

@article{40167,
  author       = {{Laiho, Kaisa and Avenhaus, Malte and Silberhorn, Christine}},
  issn         = {{1367-2630}},
  journal      = {{New Journal of Physics}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{10}},
  publisher    = {{IOP Publishing}},
  title        = {{{Characteristics of displaced single photons attained via higher order factorial moments}}},
  doi          = {{10.1088/1367-2630/14/10/105011}},
  volume       = {{14}},
  year         = {{2012}},
}

@article{40177,
  author       = {{Regensburger, Alois and Bersch, Christoph and Hinrichs, Benjamin and Onishchukov, Georgy and Schreiber, Andreas and Silberhorn, Christine and Peschel, Ulf}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{23}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Photon Propagation in a Discrete Fiber Network: An Interplay of Coherence and Losses}}},
  doi          = {{10.1103/physrevlett.107.233902}},
  volume       = {{107}},
  year         = {{2011}},
}

@article{40178,
  author       = {{Schreiber, A. and Cassemiro, K. N. and Potoček, V. and Gábris, A. and Jex, I. and Silberhorn, Christine}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{18}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Decoherence and Disorder in Quantum Walks: From Ballistic Spread to Localization}}},
  doi          = {{10.1103/physrevlett.106.180403}},
  volume       = {{106}},
  year         = {{2011}},
}

@article{40180,
  author       = {{Laiho, K. and Christ, A. and Cassemiro, K. N. and Silberhorn, Christine}},
  issn         = {{0146-9592}},
  journal      = {{Optics Letters}},
  keywords     = {{Atomic and Molecular Physics, and Optics}},
  number       = {{8}},
  publisher    = {{The Optical Society}},
  title        = {{{Testing spectral filters as Gaussian quantum optical channels}}},
  doi          = {{10.1364/ol.36.001476}},
  volume       = {{36}},
  year         = {{2011}},
}

@article{40182,
  author       = {{Söller, Christoph and Cohen, Offir and Smith, Brian J. and Walmsley, Ian A. and Silberhorn, Christine}},
  issn         = {{1050-2947}},
  journal      = {{Physical Review A}},
  keywords     = {{Atomic and Molecular Physics, and Optics}},
  number       = {{3}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{High-performance single-photon generation with commercial-grade optical fiber}}},
  doi          = {{10.1103/physreva.83.031806}},
  volume       = {{83}},
  year         = {{2011}},
}

@article{40186,
  author       = {{Eckstein, Andreas and Christ, Andreas and Mosley, Peter J. and Silberhorn, Christine}},
  issn         = {{1862-6351}},
  journal      = {{physica status solidi c}},
  keywords     = {{Condensed Matter Physics}},
  number       = {{4}},
  pages        = {{1216--1219}},
  publisher    = {{Wiley}},
  title        = {{{Realistic g            <sup>(2)</sup>            measurement of a PDC source with single photon detectors in the presence of background}}},
  doi          = {{10.1002/pssc.201000876}},
  volume       = {{8}},
  year         = {{2011}},
}

@article{40187,
  author       = {{Eckstein, Andreas and Christ, Andreas and Mosley, Peter J. and Silberhorn, Christine}},
  issn         = {{0031-9007}},
  journal      = {{Physical Review Letters}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{1}},
  publisher    = {{American Physical Society (APS)}},
  title        = {{{Highly Efficient Single-Pass Source of Pulsed Single-Mode Twin Beams of Light}}},
  doi          = {{10.1103/physrevlett.106.013603}},
  volume       = {{106}},
  year         = {{2011}},
}

@article{40183,
  author       = {{Christ, Andreas and Laiho, Kaisa and Eckstein, Andreas and Cassemiro, Katiúscia N and Silberhorn, Christine}},
  issn         = {{1367-2630}},
  journal      = {{New Journal of Physics}},
  keywords     = {{General Physics and Astronomy}},
  number       = {{3}},
  publisher    = {{IOP Publishing}},
  title        = {{{Probing multimode squeezing with correlation functions}}},
  doi          = {{10.1088/1367-2630/13/3/033027}},
  volume       = {{13}},
  year         = {{2011}},
}