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Optimal Transport on Quantum Structures
eBook
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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 n...