Invariant measure for quantum trajectories

DOI10.1007/s00440-018-0862-9zbMath1427.60144arXiv1703.10773OpenAlexW2962961175WikidataQ129508896 ScholiaQ129508896MaRDI QIDQ2416552

Tristan Benoist, Martin Fraas, Yan Pautrat, Clément Pellegrini

Publication date: 23 May 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10773

zbMATH Keywords

Wasserstein metricquantum trajectories

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) General mathematical topics and methods in quantum theory (81Q99)

Cites Work

• Spectral gap properties for linear random walks and Pareto's asymptotics for affine stochastic recursions
• Irreducible decompositions and stationary states of quantum channels
• Exponential stability of subspaces for quantum stochastic master equations
• Statistical Structure of Quantum Theory
• THE STRUCTURES OF STATE SPACE CONCERNING QUANTUM DYNAMICAL SEMIGROUPS
• Frontière de furstenberg, propriétés de contraction et théorèmes de convergence
• Markov Chains and Stochastic Stability
• Spectral Properties of Positive Maps on C^* -Algebras
• An ergodic theorem for quantum counting processes
• A pathwise ergodic theorem for quantum trajectories
• An Open Systems Approach to Quantum Optics
• Probability on Compact Lie Groups
• Purification of quantum trajectories
• Products of Random Matrices
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