---
res:
  bibo_abstract:
  - 'This paper establishes new connections between many-body quantum systems, One-body
    Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT),
    by interpreting the problem of computing the ground-state energy of a finite-dimensional
    composite quantum system at positive temperature as a non-commutative entropy
    regularized Optimal Transport problem. We develop a new approach to fully characterize
    the dual-primal solutions in such non-commutative setting. The mathematical formalism
    is particularly relevant in quantum chemistry: numerical realizations of the many-electron
    ground-state energy can be computed via a non-commutative version of Sinkhorn
    algorithm. Our approach allows to prove convergence and robustness of this algorithm,
    which, to our best knowledge, were unknown even in the two marginal case. Our
    methods are based on a priori estimates in the dual problem, which we believe
    to be of independent interest. Finally, the above results are extended in 1RDMFT
    setting, where bosonic or fermionic symmetry conditions are enforced on the problem.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Dario
      foaf_name: Feliciangeli, Dario
      foaf_surname: Feliciangeli
      foaf_workInfoHomepage: http://www.librecat.org/personId=41A639AA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0003-0754-8530
  - foaf_Person:
      foaf_givenName: Augusto
      foaf_name: Gerolin, Augusto
      foaf_surname: Gerolin
  - foaf_Person:
      foaf_givenName: Lorenzo
      foaf_name: Portinale, Lorenzo
      foaf_surname: Portinale
      foaf_workInfoHomepage: http://www.librecat.org/personId=30AD2CBC-F248-11E8-B48F-1D18A9856A87
  bibo_doi: 10.1016/j.jfa.2023.109963
  bibo_issue: '4'
  bibo_volume: 285
  dct_date: 2023^xs_gYear
  dct_identifier:
  - UT:000990804300001
  dct_isPartOf:
  - http://id.crossref.org/issn/0022-1236
  - http://id.crossref.org/issn/1096-0783
  dct_language: eng
  dct_publisher: Elsevier@
  dct_title: A non-commutative entropic optimal transport approach to quantum composite
    systems at positive temperature@
...