Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles
DOI10.1063/1.5000846zbMath1390.81267arXiv1511.02627OpenAlexW3104674516WikidataQ60026370 ScholiaQ60026370MaRDI QIDQ5366998
Marco Tomamichel, Hao-Chung Cheng, Min-Hsiu Hsieh
Publication date: 10 October 2017
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.02627
mixing timesHolevo quantitylog-Sobolev inequalitiesphase-dampingdepolarizing channelquantum Markov processes\(\Phi\)-entropyspectral gap inequalitiesgeneralized Lindblad formulation
Random graphs (graph-theoretic aspects) (05C80) Brownian motion (60J65) Functional calculus for linear operators (47A60) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)
Related Items (6)
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