Quantum Optimal Transport: Quantum Channels and Qubits - Part 2 of 3

In this lecture, Dario Trevisan from the Università di Pisa presents the second part of his three-part tutorial 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 on multiple-qubit systems. The material is presented in an accessible manner, focusing on finite-dimensional settings with illustrative examples. Recorded on March 12, 2025, this 71-minute lecture is part of IPAM's program on Non-commutative Optimal Transport, offering valuable insights for those interested in quantum information theory and mathematical physics.