Quantum Wasserstein distance of order 1 between channels
DOI10.1142/s0219025723500066arXiv2210.03483OpenAlexW4366777693MaRDI QIDQ6082702
Unnamed Author, Rocco Duvenhage
Publication date: 30 October 2023
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.03483
Applications of selfadjoint operator algebras to physics (46L60) Transport processes in time-dependent statistical mechanics (82C70) Holomorphically convex complex spaces, reduction theory (32E05) Open systems, reduced dynamics, master equations, decoherence (81S22) Optimal transportation (49Q22) Quantum channels, fidelity (81P47)
Cites Work
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- 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
- The Schrödinger equation in the mean-field and semiclassical regime
- A view on optimal transport from noncommutative geometry
- Gravity coupled with matter and the foundation of non-commutative geometry
- Completely positive linear maps on complex matrices
- Balance between quantum Markov semigroups
- Wave packets and the quadratic Monge-Kantorovich distance in quantum mechanics
- Metrics on state spaces
- An application of ergodic theory to probability theory
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Quantum concentration inequalities
- Fisher information and logarithmic Sobolev inequality for matrix-valued functions
- Quantum optimal transport with quantum channels
- Non-commutative calculus, optimal transport and functional inequalities in dissipative quantum systems
- Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance
- Linear transformations which preserve Hermitian and positive semidefinite operators
- Linear transformations which preserve trace and positive semidefiniteness of operators
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- A Wasserstein-type Distance to Measure Deviation from Equilibrium of Quantum Markov Semigroups
- Quantum computations: algorithms and error correction
- Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications
- The Theory of Quantum Information
- Concentration of quantum states from quantum functional and transportation cost inequalities
- Matrix Optimal Mass Transport: A Quantum Mechanical Approach
- The Quantum Wasserstein Distance of Order 1
- On the matrix Monge–Kantorovich problem
- Gentle measurement of quantum states and differential privacy
- Compact metric spaces, Fredholm modules, and hyperfiniteness
- A free probability analogue of the Wasserstein metric on the trace-state space
- On quantum optimal transport
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