A Wasserstein-type Distance to Measure Deviation from Equilibrium of Quantum Markov Semigroups

DOI10.1142/S1230161213500091zbMath1271.81089OpenAlexW2041951427MaRDI QIDQ2842273

Julián Agredo

Publication date: 13 August 2013

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1230161213500091

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Quantum stochastic calculus (81S25) Irreversible thermodynamics, including Onsager-Machlup theory (82C35) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (5)

Spectral Properties of Circulant Quantum Markov Semigroups ⋮ On quantum versions of the classical Wasserstein distance ⋮ The Wasserstein distance of order 1 for quantum spin systems on infinite lattices ⋮ Quantum Wasserstein distance of order 1 between channels ⋮ Entropy production for quantum Markov semigroups

Cites Work

• Generators of KMS symmetric Markov semigroups on \({\mathcal B}(\mathsf{h})\): symmetry and quantum detailed balance
• GENERIC q-MARKOV SEMIGROUPS AND SPEED OF CONVERGENCE OF q-ALGORITHMS
• GENERATORS OF DETAILED BALANCE QUANTUM MARKOV SEMIGROUPS
• The Approach to Equilibrium of a Class of Quantum Dynamical Semigroups
• Generic Quantum Markov Semigroups: the Gaussian Gauge Invariant Case
• Generic Quantum Markov Semigroups: the Fock Case
• Exponential \(L_2\)-convergence of quantum Markov semigroups on \({\mathcal B}(h)\)

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