Optimal Transport on Quantum Structures

Optimal Transport on Quantum Structures

Virosztek, Daniel; Titkos, Tamas; Rademacher, Simone; Maas, Jan

Springer International Publishing AG

10/2024

321

Dura

Inglês

9783031504655

Pré-lançamento - envio 15 a 20 dias após a sua edição

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Preface.- Chapter 1. An Introduction to Optimal Transport and Wasserstein Gradient Flows by Alessio Figalli.- Chapter 2. Dynamics and Quantum Optimal Transport:Three Lectures on Quantum Entropy and Quantum Markov Semigroups by Eric A. Carlen.- Chapter 3. Quantum Couplings and Many-body Problems by Francois Golse.- Chapter 4. Quantum Channels and Qubits by Giacomo De Palma and Dario Trevisan.- Chapter 5. Entropic Regularised Optimal Transport in a Noncommutative Setting by Lorenzo Portinale.- Chapter 6. Logarithmic Sobolev Inequalities for Finite Dimensional Quantum Markov Chains by Cambyse Rouze.
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Optimal transport;Quantum states;Gradient flows;Quantum entropy;Connes distance in non-commutative geometry;Quantum structures;Non-commutative mass transportation;Quantum channels;Quantum Wasserstein pseudo metric;Quantum Kantorovich duality;Quantum Gaussian channels;Quantum optimal transport;Many-body problems;Wasserstein space;Quantum Markov Semigroups;Quantum Gaussian states