Optimal Transport on Quantum Structures (Bolyai Society Mathematical Studies) - Softcover

Softcover

ISBN 10: 3031504682 ISBN 13: 9783031504686

Publisher: Springer, 2025

Synopsis

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

These notes are based on lectures given by the authors at the "Optimal Transport on Quantum Structures" School held at the Erdös Center in Budapest in the fall of 2022. The lecture notes are complemented by two survey chapters presenting the state of the art in different research areas of non-commutative optimal transport.

Edition details

• Publisher: Springer
• Publication date: 2025
• Language: English
• ISBN 10: 3031504682
• ISBN 13: 9783031504686
• Binding: Paperback
• Number of pages: 332
• Editor: Maas Jan, Rademacher Simone, Titkos Tamás, Virosztek Dániel