Quantum Optimal Transport: Quantum Channels and Qubits

Questa pagina contiene materiale usato durante i Tutorial nella prima settimana (10-14 Marzo) del programa IPAM Non-Commutative Optimal Transport.

Materiale didattico

  1. Opening talk: an invitation to quantum optimal transport
  2. Tutorial 1: Postulates of quantum mechanics, quantum hannels, classical optimal transport and introduction to quantum OT.
  3. Tutorial 2: Purification, quantum channels vs couplings, properties of the Quantum Wasserstein distance of order 2, examples.
  4. Tutorial 3: Quantum Wasserstein distance of order 1 on qubits systems.

Bibliography:

  • Maas, Jan, et al., eds. Optimal transport on quantum structures. Springer Nature Switzerland, 2024.

  • Trevisan, Dario. Quantum optimal transport: an invitation. Bollettino dell’Unione Matematica Italiana (2024): 1-14.

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