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The classes physically correspond to field excitations in terms of single and multiple photons, each of which being in an arbitrary irreducible superposition of quantized modes. We further show how the transitions between classes are rendered possible by photon addition, photon subtraction, and photon-projection nonlinearities. We explicitly put forward a design for a multilayer interferometer in which the states for different classes can be generated with state-of-the-art experimental techniques. Limitations of the proposed designs are analyzed using the introduced classification, providing a benchmark for the robustness of certain states and classes. 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Analysen Eines Konfliktfelds.</i> Barbara Budrich Verlag; 2025."},"year":"2025","place":"Opalden","date_created":"2024-12-15T15:31:46Z","date_updated":"2025-02-10T09:33:57Z","publisher":"Barbara Budrich Verlag","title":"Pädagogik und Sexualität. Analysen eines Konfliktfelds.","type":"book_editor","status":"public","editor":[{"full_name":"Klein, Alexandra","last_name":"Klein","first_name":"Alexandra"},{"last_name":"Langer","id":"54044","full_name":"Langer, Antje","first_name":"Antje"}],"user_id":"54044","_id":"57813","language":[{"iso":"eng"}]},{"citation":{"ama":"Dumitrescu R, Riedel O, Henke M, Metternich J, Ihlenfeldt S, Koldewey C. <i>Gaia-X in industriellen Wertschöpfungsnetzwerken – Erkenntnisse aus der Förderlinie InGAIA-X</i>. VDI Verlag; 2025. doi:<a href=\"https://doi.org/10.51202/9783186204165\">10.51202/9783186204165</a>","chicago":"Dumitrescu, Roman, Oliver Riedel, Michael Henke, Joachim Metternich, Steffen Ihlenfeldt, and Christian Koldewey. <i>Gaia-X in industriellen Wertschöpfungsnetzwerken – Erkenntnisse aus der Förderlinie InGAIA-X</i>. VDI Verlag, 2025. <a href=\"https://doi.org/10.51202/9783186204165\">https://doi.org/10.51202/9783186204165</a>.","ieee":"R. Dumitrescu, O. Riedel, M. Henke, J. Metternich, S. Ihlenfeldt, and C. Koldewey, <i>Gaia-X in industriellen Wertschöpfungsnetzwerken – Erkenntnisse aus der Förderlinie InGAIA-X</i>. VDI Verlag, 2025.","mla":"Dumitrescu, Roman, et al. <i>Gaia-X in industriellen Wertschöpfungsnetzwerken – Erkenntnisse aus der Förderlinie InGAIA-X</i>. VDI Verlag, 2025, doi:<a href=\"https://doi.org/10.51202/9783186204165\">10.51202/9783186204165</a>.","bibtex":"@book{Dumitrescu_Riedel_Henke_Metternich_Ihlenfeldt_Koldewey_2025, title={Gaia-X in industriellen Wertschöpfungsnetzwerken – Erkenntnisse aus der Förderlinie InGAIA-X}, DOI={<a href=\"https://doi.org/10.51202/9783186204165\">10.51202/9783186204165</a>}, publisher={VDI Verlag}, author={Dumitrescu, Roman and Riedel, Oliver and Henke, Michael and Metternich, Joachim and Ihlenfeldt, Steffen and Koldewey, Christian}, year={2025} }","short":"R. Dumitrescu, O. Riedel, M. Henke, J. Metternich, S. Ihlenfeldt, C. Koldewey, Gaia-X in industriellen Wertschöpfungsnetzwerken – Erkenntnisse aus der Förderlinie InGAIA-X, VDI Verlag, 2025.","apa":"Dumitrescu, R., Riedel, O., Henke, M., Metternich, J., Ihlenfeldt, S., &#38; Koldewey, C. (2025). <i>Gaia-X in industriellen Wertschöpfungsnetzwerken – Erkenntnisse aus der Förderlinie InGAIA-X</i>. VDI Verlag. <a href=\"https://doi.org/10.51202/9783186204165\">https://doi.org/10.51202/9783186204165</a>"},"year":"2025","publication_status":"published","publication_identifier":{"isbn":["9783186204165"]},"doi":"10.51202/9783186204165","title":"Gaia-X in industriellen Wertschöpfungsnetzwerken – Erkenntnisse aus der Förderlinie InGAIA-X","author":[{"id":"16190","full_name":"Dumitrescu, Roman","last_name":"Dumitrescu","first_name":"Roman"},{"full_name":"Riedel, Oliver","last_name":"Riedel","first_name":"Oliver"},{"first_name":"Michael","last_name":"Henke","full_name":"Henke, Michael"},{"full_name":"Metternich, Joachim","last_name":"Metternich","first_name":"Joachim"},{"first_name":"Steffen","full_name":"Ihlenfeldt, Steffen","last_name":"Ihlenfeldt"},{"first_name":"Christian","id":"43136","full_name":"Koldewey, Christian","orcid":"https://orcid.org/0000-0001-7992-6399","last_name":"Koldewey"}],"date_created":"2025-02-10T13:25:54Z","date_updated":"2025-02-10T13:26:35Z","publisher":"VDI Verlag","status":"public","abstract":[{"lang":"eng","text":"<p> Die Publikation richtet sich an Industrieunternehmen und Forschende, die an der Nutzung von Gaia-X für die industrielle Produktion interessiert sind. Sie vereint die Ergebnisse der Forschungsprojekte COSMIC-X, DIONE-X, Fed-X-Pro, GRIPSS-X und URANOS-X, die zur Entwicklung von Anwendungsszenarien für Gaia-X-konforme Datenökosysteme beigetragen haben. Ziel ist es, insbesondere mittelständische Unternehmen in die Lage zu versetzten, souverän Datenräume zu nutzen, um die digitale Transformation voranzutreiben und ihre Wettbewerbsfähigkeit zu steigern. Wichtige Technologien sind dabei Blockchain, Self-Sovereign Identity (SSI) und die Asset Administration Shell (AAS). Die Projektergebnisse stärken die Innovationskraft und eröffnen neue Geschäftsmodelle in der Industrie 4.0. Inhaltsverzeichnis Abstract VII 1 Einleitung 1 1.1 Gaia-X – Chance fur die industrielle Produktion . . . . . . . . . . . . . . . ü 1 1.1.1 Mü oglichkeiten von Gaia-X in der industriellen Produktion . . . . . 4 1.1.2 Die aktuelle Projektlandschaft . . . . . . . . . . . . . . . . . . . . . 7 1.2 Die InGAIA-X Fü orderlinie . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.2.1 Die Projekte . . . . . ... </p>"}],"type":"book","language":[{"iso":"ger"}],"user_id":"15782","department":[{"_id":"563"}],"_id":"58549"},{"language":[{"iso":"eng"}],"external_id":{"arxiv":["2401.02368"]},"_id":"50272","user_id":"71541","abstract":[{"lang":"eng","text":"Despite the fundamental role the Quantum Satisfiability (QSAT) problem has\r\nplayed in quantum complexity theory, a central question remains open: At which\r\nlocal dimension does the complexity of QSAT transition from \"easy\" to \"hard\"?\r\nHere, we study QSAT with each constraint acting on a $k$-dimensional and\r\n$l$-dimensional qudit pair, denoted $(k,l)$-QSAT. Our first main result shows\r\nthat, surprisingly, QSAT on qubits can remain $\\mathsf{QMA}_1$-hard, in that\r\n$(2,5)$-QSAT is $\\mathsf{QMA}_1$-complete. In contrast, $2$-SAT on qubits is\r\nwell-known to be poly-time solvable [Bravyi, 2006]. Our second main result\r\nproves that $(3,d)$-QSAT on the 1D line with $d\\in O(1)$ is also\r\n$\\mathsf{QMA}_1$-hard. Finally, we initiate the study of 1D $(2,d)$-QSAT by\r\ngiving a frustration-free 1D Hamiltonian with a unique, entangled ground state.\r\n  Our first result uses a direct embedding, combining a novel clock\r\nconstruction with the 2D circuit-to-Hamiltonian construction of [Gosset, Nagaj,\r\n2013]. Of note is a new simplified and analytic proof for the latter (as\r\nopposed to a partially numeric proof in [GN13]). This exploits Unitary Labelled\r\nGraphs [Bausch, Cubitt, Ozols, 2017] together with a new \"Nullspace Connection\r\nLemma\", allowing us to break low energy analyses into small patches of\r\nprojectors, and to improve the soundness analysis of [GN13] from\r\n$\\Omega(1/T^6)$ to $\\Omega(1/T^2)$, for $T$ the number of gates. Our second\r\nresult goes via black-box reduction: Given an arbitrary 1D Hamiltonian $H$ on\r\n$d'$-dimensional qudits, we show how to embed it into an effective null-space\r\nof a 1D $(3,d)$-QSAT instance, for $d\\in O(1)$. Our approach may be viewed as a\r\nweaker notion of \"simulation\" (\\`a la [Bravyi, Hastings 2017], [Cubitt,\r\nMontanaro, Piddock 2018]). As far as we are aware, this gives the first\r\n\"black-box simulation\"-based $\\mathsf{QMA}_1$-hardness result, i.e. for\r\nfrustration-free Hamiltonians."}],"status":"public","publication":"16th Innovations in Theoretical Computer Science (ITCS)","type":"conference","title":"Quantum 2-SAT on low dimensional systems is $\\mathsf{QMA}_1$-complete:  Direct embeddings and black-box simulation","doi":"10.4230/LIPIcs.ITCS.2025.85","date_updated":"2025-02-11T07:21:23Z","volume":325,"author":[{"first_name":"Dorian","last_name":"Rudolph","full_name":"Rudolph, Dorian"},{"first_name":"Sevag","last_name":"Gharibian","orcid":"0000-0002-9992-3379","full_name":"Gharibian, Sevag","id":"71541"},{"first_name":"Daniel","last_name":"Nagaj","full_name":"Nagaj, Daniel"}],"date_created":"2024-01-07T20:09:13Z","year":"2025","intvolume":"       325","page":"1-24","citation":{"short":"D. Rudolph, S. Gharibian, D. Nagaj, in: 16th Innovations in Theoretical Computer Science (ITCS), 2025, pp. 1–24.","bibtex":"@inproceedings{Rudolph_Gharibian_Nagaj_2025, title={Quantum 2-SAT on low dimensional systems is $\\mathsf{QMA}_1$-complete:  Direct embeddings and black-box simulation}, volume={325}, DOI={<a href=\"https://doi.org/10.4230/LIPIcs.ITCS.2025.85\">10.4230/LIPIcs.ITCS.2025.85</a>}, number={85}, booktitle={16th Innovations in Theoretical Computer Science (ITCS)}, author={Rudolph, Dorian and Gharibian, Sevag and Nagaj, Daniel}, year={2025}, pages={1–24} }","mla":"Rudolph, Dorian, et al. “Quantum 2-SAT on Low Dimensional Systems Is $\\mathsf{QMA}_1$-Complete:  Direct Embeddings and Black-Box Simulation.” <i>16th Innovations in Theoretical Computer Science (ITCS)</i>, vol. 325, no. 85, 2025, pp. 1–24, doi:<a href=\"https://doi.org/10.4230/LIPIcs.ITCS.2025.85\">10.4230/LIPIcs.ITCS.2025.85</a>.","apa":"Rudolph, D., Gharibian, S., &#38; Nagaj, D. (2025). Quantum 2-SAT on low dimensional systems is $\\mathsf{QMA}_1$-complete:  Direct embeddings and black-box simulation. <i>16th Innovations in Theoretical Computer Science (ITCS)</i>, <i>325</i>(85), 1–24. <a href=\"https://doi.org/10.4230/LIPIcs.ITCS.2025.85\">https://doi.org/10.4230/LIPIcs.ITCS.2025.85</a>","ieee":"D. Rudolph, S. Gharibian, and D. Nagaj, “Quantum 2-SAT on low dimensional systems is $\\mathsf{QMA}_1$-complete:  Direct embeddings and black-box simulation,” in <i>16th Innovations in Theoretical Computer Science (ITCS)</i>, 2025, vol. 325, no. 85, pp. 1–24, doi: <a href=\"https://doi.org/10.4230/LIPIcs.ITCS.2025.85\">10.4230/LIPIcs.ITCS.2025.85</a>.","chicago":"Rudolph, Dorian, Sevag Gharibian, and Daniel Nagaj. “Quantum 2-SAT on Low Dimensional Systems Is $\\mathsf{QMA}_1$-Complete:  Direct Embeddings and Black-Box Simulation.” In <i>16th Innovations in Theoretical Computer Science (ITCS)</i>, 325:1–24, 2025. <a href=\"https://doi.org/10.4230/LIPIcs.ITCS.2025.85\">https://doi.org/10.4230/LIPIcs.ITCS.2025.85</a>.","ama":"Rudolph D, Gharibian S, Nagaj D. Quantum 2-SAT on low dimensional systems is $\\mathsf{QMA}_1$-complete:  Direct embeddings and black-box simulation. In: <i>16th Innovations in Theoretical Computer Science (ITCS)</i>. Vol 325. ; 2025:1-24. doi:<a href=\"https://doi.org/10.4230/LIPIcs.ITCS.2025.85\">10.4230/LIPIcs.ITCS.2025.85</a>"},"publication_status":"published","issue":"85"},{"status":"public","publication":"Technology in Society","type":"journal_article","article_number":"102835","language":[{"iso":"eng"}],"_id":"58558","department":[{"_id":"563"}],"user_id":"15782","year":"2025","citation":{"mla":"Carayannis, Elias G., et al. “Enhancing SME Resilience through Artificial Intelligence and Strategic Foresight: A Framework for Sustainable Competitiveness.” <i>Technology in Society</i>, 102835, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.techsoc.2025.102835\">10.1016/j.techsoc.2025.102835</a>.","bibtex":"@article{Carayannis_Dumitrescu_Falkowski_Papamichail_Zota_2025, title={Enhancing SME Resilience through Artificial Intelligence and Strategic Foresight: A Framework for Sustainable Competitiveness}, DOI={<a href=\"https://doi.org/10.1016/j.techsoc.2025.102835\">10.1016/j.techsoc.2025.102835</a>}, number={102835}, journal={Technology in Society}, publisher={Elsevier BV}, author={Carayannis, Elias G. and Dumitrescu, Roman and Falkowski, Tommy and Papamichail, George and Zota, Nikos - Rigert}, year={2025} }","short":"E.G. Carayannis, R. Dumitrescu, T. Falkowski, G. Papamichail, N.-R. Zota, Technology in Society (2025).","apa":"Carayannis, E. G., Dumitrescu, R., Falkowski, T., Papamichail, G., &#38; Zota, N.-R. (2025). Enhancing SME Resilience through Artificial Intelligence and Strategic Foresight: A Framework for Sustainable Competitiveness. <i>Technology in Society</i>, Article 102835. <a href=\"https://doi.org/10.1016/j.techsoc.2025.102835\">https://doi.org/10.1016/j.techsoc.2025.102835</a>","chicago":"Carayannis, Elias G., Roman Dumitrescu, Tommy Falkowski, George Papamichail, and Nikos - Rigert Zota. “Enhancing SME Resilience through Artificial Intelligence and Strategic Foresight: A Framework for Sustainable Competitiveness.” <i>Technology in Society</i>, 2025. <a href=\"https://doi.org/10.1016/j.techsoc.2025.102835\">https://doi.org/10.1016/j.techsoc.2025.102835</a>.","ieee":"E. G. Carayannis, R. Dumitrescu, T. Falkowski, G. Papamichail, and N.-R. Zota, “Enhancing SME Resilience through Artificial Intelligence and Strategic Foresight: A Framework for Sustainable Competitiveness,” <i>Technology in Society</i>, Art. no. 102835, 2025, doi: <a href=\"https://doi.org/10.1016/j.techsoc.2025.102835\">10.1016/j.techsoc.2025.102835</a>.","ama":"Carayannis EG, Dumitrescu R, Falkowski T, Papamichail G, Zota N-R. Enhancing SME Resilience through Artificial Intelligence and Strategic Foresight: A Framework for Sustainable Competitiveness. <i>Technology in Society</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1016/j.techsoc.2025.102835\">10.1016/j.techsoc.2025.102835</a>"},"publication_identifier":{"issn":["0160-791X"]},"publication_status":"published","title":"Enhancing SME Resilience through Artificial Intelligence and Strategic Foresight: A Framework for Sustainable Competitiveness","doi":"10.1016/j.techsoc.2025.102835","date_updated":"2025-02-11T07:51:59Z","publisher":"Elsevier BV","date_created":"2025-02-11T07:51:10Z","author":[{"first_name":"Elias G.","last_name":"Carayannis","full_name":"Carayannis, Elias G."},{"first_name":"Roman","last_name":"Dumitrescu","full_name":"Dumitrescu, Roman","id":"16190"},{"last_name":"Falkowski","full_name":"Falkowski, Tommy","first_name":"Tommy"},{"last_name":"Papamichail","full_name":"Papamichail, George","first_name":"George"},{"last_name":"Zota","full_name":"Zota, Nikos - Rigert","first_name":"Nikos - Rigert"}]},{"language":[{"iso":"ger"}],"series_title":" Reflexe der immateriellen und materiellen Kultur","user_id":"61731","_id":"58140","status":"public","type":"book","doi":"10.1515/9783111251103","title":"Annaberg, Marienberg, Potosí. Neue Städte in Silberbergbauregionen der Frühen Neuzeit","author":[{"first_name":"Marco","full_name":"Silvestri, Marco","id":"47652","last_name":"Silvestri"}],"date_created":"2025-01-10T07:48:50Z","volume":11,"date_updated":"2025-02-11T10:06:57Z","publisher":"De Gruyter","citation":{"ama":"Silvestri M. <i>Annaberg, Marienberg, Potosí. Neue Städte in Silberbergbauregionen der Frühen Neuzeit</i>. Vol 11. De Gruyter; 2025. doi:<a href=\"https://doi.org/10.1515/9783111251103\">10.1515/9783111251103</a>","ieee":"M. Silvestri, <i>Annaberg, Marienberg, Potosí. Neue Städte in Silberbergbauregionen der Frühen Neuzeit</i>, vol. 11. Berlin: De Gruyter, 2025.","chicago":"Silvestri, Marco. <i>Annaberg, Marienberg, Potosí. Neue Städte in Silberbergbauregionen der Frühen Neuzeit</i>. Vol. 11.  Reflexe der immateriellen und materiellen Kultur. Berlin: De Gruyter, 2025. <a href=\"https://doi.org/10.1515/9783111251103\">https://doi.org/10.1515/9783111251103</a>.","bibtex":"@book{Silvestri_2025, place={Berlin}, series={ Reflexe der immateriellen und materiellen Kultur}, title={Annaberg, Marienberg, Potosí. Neue Städte in Silberbergbauregionen der Frühen Neuzeit}, volume={11}, DOI={<a href=\"https://doi.org/10.1515/9783111251103\">10.1515/9783111251103</a>}, publisher={De Gruyter}, author={Silvestri, Marco}, year={2025}, collection={ Reflexe der immateriellen und materiellen Kultur} }","short":"M. Silvestri, Annaberg, Marienberg, Potosí. Neue Städte in Silberbergbauregionen der Frühen Neuzeit, De Gruyter, Berlin, 2025.","mla":"Silvestri, Marco. <i>Annaberg, Marienberg, Potosí. Neue Städte in Silberbergbauregionen der Frühen Neuzeit</i>. De Gruyter, 2025, doi:<a href=\"https://doi.org/10.1515/9783111251103\">10.1515/9783111251103</a>.","apa":"Silvestri, M. (2025). <i>Annaberg, Marienberg, Potosí. Neue Städte in Silberbergbauregionen der Frühen Neuzeit</i> (Vol. 11). De Gruyter. <a href=\"https://doi.org/10.1515/9783111251103\">https://doi.org/10.1515/9783111251103</a>"},"intvolume":"        11","page":"728","place":"Berlin","year":"2025","publication_status":"published","publication_identifier":{"isbn":["9783111251103"]}},{"type":"book_editor","editor":[{"first_name":"Antje","last_name":"Langer","id":"54044","full_name":"Langer, Antje"},{"first_name":"Claudia","last_name":"Mahs","full_name":"Mahs, Claudia"},{"last_name":"Thon","full_name":"Thon, Christine","first_name":"Christine"},{"first_name":"Jeannette","last_name":"Windheuser","full_name":"Windheuser, Jeannette"}],"status":"public","_id":"57812","user_id":"54044","language":[{"iso":"eng"}],"place":"Opladen","year":"2025","citation":{"ieee":"A. Langer, C. Mahs, C. Thon, and J. Windheuser, Eds., <i>Das unkaputtbare Patriarchat? Geschlechterhierarchie als Gegenstand erziehungswissenschaftlicher Frauen- und Geschlechterforschung.</i> Opladen: Barbara Budrich Verlag, 2025.","chicago":"Langer, Antje, Claudia Mahs, Christine Thon, and Jeannette Windheuser, eds. <i>Das Unkaputtbare Patriarchat? Geschlechterhierarchie Als Gegenstand Erziehungswissenschaftlicher Frauen- Und Geschlechterforschung.</i> Opladen: Barbara Budrich Verlag, 2025.","ama":"Langer A, Mahs C, Thon C, Windheuser J, eds. <i>Das Unkaputtbare Patriarchat? Geschlechterhierarchie Als Gegenstand Erziehungswissenschaftlicher Frauen- Und Geschlechterforschung.</i> Barbara Budrich Verlag; 2025.","apa":"Langer, A., Mahs, C., Thon, C., &#38; Windheuser, J. (Eds.). (2025). <i>Das unkaputtbare Patriarchat? Geschlechterhierarchie als Gegenstand erziehungswissenschaftlicher Frauen- und Geschlechterforschung.</i> Barbara Budrich Verlag.","bibtex":"@book{Langer_Mahs_Thon_Windheuser_2025, place={Opladen}, title={Das unkaputtbare Patriarchat? Geschlechterhierarchie als Gegenstand erziehungswissenschaftlicher Frauen- und Geschlechterforschung.}, publisher={Barbara Budrich Verlag}, year={2025} }","mla":"Langer, Antje, et al., editors. <i>Das Unkaputtbare Patriarchat? Geschlechterhierarchie Als Gegenstand Erziehungswissenschaftlicher Frauen- Und Geschlechterforschung.</i> Barbara Budrich Verlag, 2025.","short":"A. Langer, C. Mahs, C. Thon, J. Windheuser, eds., Das Unkaputtbare Patriarchat? Geschlechterhierarchie Als Gegenstand Erziehungswissenschaftlicher Frauen- Und Geschlechterforschung., Barbara Budrich Verlag, Opladen, 2025."},"date_updated":"2025-02-11T12:04:07Z","publisher":"Barbara Budrich Verlag","date_created":"2024-12-15T15:30:47Z","title":"Das unkaputtbare Patriarchat? Geschlechterhierarchie als Gegenstand erziehungswissenschaftlicher Frauen- und Geschlechterforschung."}]