Quantum Optimal Transport: Quantum Channels and Qubits - Part 3

In this lecture, Dario Trevisan from the Università di Pisa concludes his three-part tutorial series on "Quantum Optimal Transport: Quantum Channels and Qubits" at IPAM's Non-commutative Optimal Transport Tutorials at UCLA. Explore two key approaches to quantum optimal transport: one utilizing quantum channels as generalized transport plans, and another based on the Hamming-Wasserstein distance of order 1 in multiple-qubit systems. The material is presented in an accessible manner, focusing on finite-dimensional settings with illustrative examples. Recorded on March 13, 2025, this 1-hour and 15-minute presentation is part of IPAM's comprehensive program on non-commutative optimal transport, offering valuable insights for researchers and students interested in quantum information theory and mathematical physics.