Perturbation bounds for quantum Markov processes and their fixed points

DOI10.1063/1.4795112zbMath1281.81050arXiv1210.1171OpenAlexW1969781077MaRDI QIDQ5397764

Oleg Szehr, Michael M. Wolf

Publication date: 24 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1171

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (16)

Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base ⋮ Generalized Dobrushin coefficients on Banach spaces ⋮ Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators ⋮ Perturbation and Inverse Problems of Stochastic Matrices ⋮ Uniform ergodicities of Markov semigroups on abstract states spaces ⋮ Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles ⋮ Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces ⋮ Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory ⋮ Uniform ergodicities and perturbation bounds of Markov chains on base norm spaces ⋮ Spectral convergence bounds for classical and quantum Markov processes ⋮ Stability estimates of Markov semigroups on abstract states spaces ⋮ Generalized Dobrushin ergodicity coefficient and ergodicities of non-homogeneous Markov chains ⋮ Hypercontractivity and logarithmic Sobolev inequality for non-primitive quantum Markov semigroups and estimation of decoherence rates ⋮ Stability of local quantum dissipative systems ⋮ Approximations of non-homogeneous Markov chains on abstract states spaces ⋮ Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base

Cites Work

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• The $\chi ^2$χ2-divergence and mixing times of quantum Markov processes
• Sensitivity and convergence of uniformly ergodic Markov chains
• Condition numbers of large matrices, and analytic capacities
• Perturbation theory and finite Markov chains
• Comparison of perturbation bounds for the stationary distribution of a Markov chain

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