Quantum Optimal Transport: Quantum Channels and Qubits
This page contains material used in the Tutorials I delivered at IPAM during the first week (March 10-14, 2025) of the Long Program Non-Commutative Optimal Transport.
Teaching material
- Opening talk: an invitation to quantum optimal transport
- Tutorial 1: Postulates of quantum mechanics, quantum hannels, classical optimal transport and introduction to quantum OT.
- Tutorial 2: Purification, quantum channels vs couplings, properties of the Quantum Wasserstein distance of order 2, examples.
- 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.
