{"citation":{"short":"T. Meier, P.R. Sharapova, J. Sperling, S. Ober-Blöbaum, B.E. Wembe Moafo, C. Offen, (2025).","chicago":"Meier, Torsten, Polina R. Sharapova, Jan Sperling, Sina Ober-Blöbaum, Boris Edgar Wembe Moafo, and Christian Offen. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits,” 2025.","apa":"Meier, T., Sharapova, P. R., Sperling, J., Ober-Blöbaum, S., Wembe Moafo, B. E., &#38; Offen, C. (2025). <i>Multiphoton, multimode state classification for nonlinear optical circuits</i>.","ama":"Meier T, Sharapova PR, Sperling J, Ober-Blöbaum S, Wembe Moafo BE, Offen C. Multiphoton, multimode state classification for nonlinear optical circuits. Published online 2025.","mla":"Meier, Torsten, et al. <i>Multiphoton, Multimode State Classification for Nonlinear Optical Circuits</i>. 2025.","ieee":"T. Meier, P. R. Sharapova, J. Sperling, S. Ober-Blöbaum, B. E. Wembe Moafo, and C. Offen, “Multiphoton, multimode state classification for nonlinear optical circuits.” 2025.","bibtex":"@article{Meier_Sharapova_Sperling_Ober-Blöbaum_Wembe Moafo_Offen_2025, title={Multiphoton, multimode state classification for nonlinear optical circuits}, author={Meier, Torsten and Sharapova, Polina R. and Sperling, Jan and Ober-Blöbaum, Sina and Wembe Moafo, Boris Edgar and Offen, Christian}, year={2025} }"},"title":"Multiphoton, multimode state classification for nonlinear optical circuits","_id":"62979","year":"2025","user_id":"16199","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"706"},{"_id":"636"},{"_id":"230"},{"_id":"623"},{"_id":"429"},{"_id":"35"}],"author":[{"full_name":"Meier, Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","id":"344","first_name":"Torsten"},{"first_name":"Polina R.","id":"60286","last_name":"Sharapova","full_name":"Sharapova, Polina R."},{"last_name":"Sperling","orcid":"0000-0002-5844-3205","full_name":"Sperling, Jan","id":"75127","first_name":"Jan"},{"last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494","first_name":"Sina"},{"id":"95394","first_name":"Boris Edgar","full_name":"Wembe Moafo, Boris Edgar","last_name":"Wembe Moafo"},{"id":"85279","first_name":"Christian","full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","last_name":"Offen"}],"status":"public","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"We introduce a new classification of multimode states with a fixed number of photons. This classification is based on the factorizability of homogeneous multivariate polynomials and is invariant under unitary transformations. 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."}],"date_created":"2025-12-09T08:59:27Z","date_updated":"2025-12-09T09:10:23Z","type":"preprint","project":[{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"_id":"56","name":"TRR 142 - Project Area C"},{"_id":"174","name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse"},{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}]}