---
res:
  bibo_abstract:
  - Entanglement is a unique feature of quantum mechanics. In coupled systems of light
    and matter, entanglement manifests itself in the linear superposition of multipartite
    quantum states (e.g., parametrized by the multiple spatial, spectral, or temporal
    degrees of freedom of a light field). In bipartite systems, the Schmidt decomposition
    provides a modal decomposition of the entanglement structure over independent,
    separable states. Although ubiquitous as a mathematical tool to describe and measure
    entanglement, there exists no general efficient experimental method to decompose
    a bipartite quantum state onto its Schmidt modes. Here, we propose a method that
    relies on bipartite self-configuring optics that automatically ``learns'' the
    Schmidt decomposition of an arbitrary pure quantum state. Our method is agnostic
    to the degrees of freedom over which quantum entanglement is distributed and can
    reconstruct the Schmidt modes and values by variational optimization of the network's
    output powers or coincidences. We illustrate our method with numerical examples
    of spectral entanglement analysis for biphotons generated via spontaneous parametric
    down conversion and provide experimental guidelines for its realization, including
    the influence of losses and impurities. Our method provides a versatile and scalable
    way of analyzing entanglement in bipartite integrated quantum photonic systems.
    @eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Charles
      foaf_name: Roques-Carmes, Charles
      foaf_surname: Roques-Carmes
      foaf_workInfoHomepage: http://www.librecat.org/personId=e2e68fc9-6505-11ef-a541-eb4e72cc3e82
  - foaf_Person:
      foaf_givenName: Aviv
      foaf_name: Karnieli, Aviv
      foaf_surname: Karnieli
  - foaf_Person:
      foaf_givenName: David A. B.
      foaf_name: Miller, David A. B.
      foaf_surname: Miller
  - foaf_Person:
      foaf_givenName: Shanhui
      foaf_name: Fan, Shanhui
      foaf_surname: Fan
  bibo_doi: 10.1021/acsphotonics.5c00813
  bibo_issue: '6'
  bibo_volume: 12
  dct_date: 2025^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/2330-4022
  dct_language: eng
  dct_publisher: American Chemical Society@
  dct_subject:
  - integrated photonics
  - spontaneous parametric down conversion
  - entanglement
  - quantum teleportation
  - reconfigurable optics
  dct_title: Automated modal analysis of entanglement with bipartite self-configuring
    optics@
...