---
res:
  bibo_abstract:
  - <jats:p>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 is 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.</jats:p>@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Denis A.
      foaf_name: Kopylov, Denis A.
      foaf_surname: Kopylov
  - foaf_Person:
      foaf_givenName: Christian
      foaf_name: Offen, Christian
      foaf_surname: Offen
      foaf_workInfoHomepage: http://www.librecat.org/personId=85279
    orcid: 0000-0002-5940-8057
  - foaf_Person:
      foaf_givenName: Laura
      foaf_name: Ares, Laura
      foaf_surname: Ares
  - foaf_Person:
      foaf_givenName: Boris Edgar
      foaf_name: Wembe Moafo, Boris Edgar
      foaf_surname: Wembe Moafo
      foaf_workInfoHomepage: http://www.librecat.org/personId=95394
  - foaf_Person:
      foaf_givenName: Sina
      foaf_name: Ober-Blöbaum, Sina
      foaf_surname: Ober-Blöbaum
      foaf_workInfoHomepage: http://www.librecat.org/personId=16494
  - foaf_Person:
      foaf_givenName: Torsten
      foaf_name: Meier, Torsten
      foaf_surname: Meier
      foaf_workInfoHomepage: http://www.librecat.org/personId=344
    orcid: 0000-0001-8864-2072
  - foaf_Person:
      foaf_givenName: Polina R.
      foaf_name: Sharapova, Polina R.
      foaf_surname: Sharapova
      foaf_workInfoHomepage: http://www.librecat.org/personId=60286
  - foaf_Person:
      foaf_givenName: Jan
      foaf_name: Sperling, Jan
      foaf_surname: Sperling
      foaf_workInfoHomepage: http://www.librecat.org/personId=75127
    orcid: 0000-0002-5844-3205
  bibo_doi: 10.1103/sv6z-v1gk
  bibo_issue: '3'
  bibo_volume: 7
  dct_date: 2025^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/2643-1564
  dct_language: eng
  dct_publisher: American Physical Society (APS)@
  dct_title: Multiphoton, multimode state classification for nonlinear optical circuits@
...