Optimal Transport on Quantum Structures

By: Daniel Virosztek (Editor), Tamas Titkos (Editor), Simone Rademacher (Editor), Jan Maas (Editor)

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Hardcover | 21 October 2024 | Edition Number 2024

At a Glance

Hardcover
332 Pages

Dimensions(cm)
23.5 x 15.5

Hardcover

$179.00

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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 Erd¶s 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.

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