Maas J. Optimal Transport on Quantum Structures 2024 torrent

Textbook in PDF format

The flourishing theory of classical optimal transport concerns mass transportation at minimal cost. This book introduces the reader to optimal transport on quantum structures, i.e., optimal transportation between quantum states and related non-commutative concepts of mass transportation. It contains lecture notes on
classical optimal transport and Wasserstein gradient flows
dynamics and quantum optimal transport
quantum couplings and many-body problems
quantum channels and qubits