Wasserstein distance between noncommutative dynamical systems
From MaRDI portal
Publication:6111108
DOI10.1016/j.jmaa.2023.127353zbMath1528.46053arXiv2112.12532OpenAlexW4367311019MaRDI QIDQ6111108
Publication date: 6 July 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.12532
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the mean field and classical limits of quantum mechanics
- An analog of the 2-Wasserstein metric in non-commutative probability under which the fermionic Fokker-Planck equation is gradient flow for the entropy
- On optimal stationary couplings between stationary processes
- Ergodicity and mixing of \(W^*\)-dynamical systems in terms of joinings
- Conditional expectations in von Neumann algebras and a theorem of Takesaki
- A generalization of Ornstein's \(\overline d\) distance with applications to information theory
- Completely positive linear maps on complex matrices
- Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras
- Balance between quantum Markov semigroups
- An application of ergodic theory to probability theory
- Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
- Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
- Theory of operator algebras. II
- Free transportation cost inequalities via random matrix approximation
- KMS-symmetric Markov semigroups
- Generators of KMS symmetric Markov semigroups on \({\mathcal B}(\mathsf{h})\): symmetry and quantum detailed balance
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- \(L^2\)-von Neumann modules, their relative tensor products and the spatial derivative
- Duality for optimal couplings in free probability
- Quantum optimal transport with quantum channels
- Noncommutative joinings. II
- Entropy production for quantum Markov semigroups
- Joinings of \(W^*\)-dynamical systems
- Approximation theorems for Markov operators
- Foundation of quantum optimal transport and applications
- On Matrix-Valued Monge–Kantorovich Optimal Mass Transport
- Markov operators and n-copulas
- A DUAL IN VON NEUMANN ALGEBRAS WITH WEIGHTS
- The standard form of von Neumann algebras.
- On quantum versions of the classical Wasserstein distance
- On Noncommutative Joinings
- Matrix Optimal Mass Transport: A Quantum Mechanical Approach
- On noncommutative joinings III
- The Quantum Wasserstein Distance of Order 1
- Relatively independent joinings and subsystems of W*-dynamical systems
- A free probability analogue of the Wasserstein metric on the trace-state space
- A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature
This page was built for publication: Wasserstein distance between noncommutative dynamical systems