{"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2502.05123","open_access":"1"}],"type":"preprint","_id":"58544","abstract":[{"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. ","lang":"eng"}],"title":"Multiphoton, multimode state classification for nonlinear optical circuits ","year":"2025","citation":{"short":"D. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier, P. Sharapova, J. Sperling, (n.d.).","mla":"Kopylov, Denis, et al. <i>Multiphoton, Multimode State Classification for Nonlinear Optical Circuits </i>.","ieee":"D. Kopylov <i>et al.</i>, “Multiphoton, multimode state classification for nonlinear optical circuits .” .","apa":"Kopylov, D., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S., Meier, T., Sharapova, P., &#38; Sperling, J. (n.d.). <i>Multiphoton, multimode state classification for nonlinear optical circuits </i>.","ama":"Kopylov D, Offen C, Ares L, et al. Multiphoton, multimode state classification for nonlinear optical circuits .","chicago":"Kopylov, Denis, Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina Ober-Blöbaum, Torsten Meier, Polina Sharapova, and Jan Sperling. “Multiphoton, Multimode State Classification for Nonlinear Optical Circuits ,” n.d.","bibtex":"@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling, title={Multiphoton, multimode state classification for nonlinear optical circuits }, author={Kopylov, Denis and Offen, Christian and Ares, Laura and Wembe Moafo, Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova, Polina and Sperling, Jan} }"},"user_id":"85279","status":"public","oa":"1","external_id":{"arxiv":["2502.05123"]},"publication_status":"submitted","language":[{"iso":"eng"}],"date_created":"2025-02-10T08:26:45Z","date_updated":"2025-02-10T08:36:12Z","author":[{"id":"98502","full_name":"Kopylov, Denis","first_name":"Denis","last_name":"Kopylov"},{"first_name":"Christian","last_name":"Offen","full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","id":"85279"},{"full_name":"Ares, Laura","last_name":"Ares","first_name":"Laura"},{"id":"95394","full_name":"Wembe Moafo, Boris Edgar","first_name":"Boris Edgar","last_name":"Wembe Moafo"},{"full_name":"Ober-Blöbaum, Sina","id":"16494","first_name":"Sina","last_name":"Ober-Blöbaum"},{"orcid":"0000-0001-8864-2072","id":"344","full_name":"Meier, Torsten","first_name":"Torsten","last_name":"Meier"},{"id":"60286","full_name":"Sharapova, Polina","first_name":"Polina","last_name":"Sharapova"},{"full_name":"Sperling, Jan","orcid":"0000-0002-5844-3205","id":"75127","last_name":"Sperling","first_name":"Jan"}],"department":[{"_id":"623"},{"_id":"15"},{"_id":"636"}]}