• Corpus ID: 235489778

A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature

@inproceedings{Feliciangeli2021ANE,
  title={A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature},
  author={Dario Feliciangeli and Augusto Gerolin and Lorenzo Portinale},
  year={2021}
}
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… 

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