Group Transference Techniques for the Estimation of the Decoherence Times and Capacities of Quantum Markov Semigroups

DOI10.1109/TIT.2021.3065452zbMath1473.81048arXiv1904.11043OpenAlexW3136698400MaRDI QIDQ5001588

Cambyse Rouzé, Daniel Stilck França, Nicholas Laracuente, Marius Junge, Ivan Bardet

Publication date: 22 July 2021

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11043

zbMATH Keywords

Markov kernel continuous-time quantum channels entanglement breaking times entanglement-assisted classical capacities estimation of decoherence time private and quantum capacities transferred channels

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum channels, fidelity (81P47)

Related Items (10)

Quasi-factorization and multiplicative comparison of subalgebra-relative entropy ⋮ Complete entropic inequalities for quantum Markov chains ⋮ Eventually entanglement breaking Markovian dynamics: structure and characteristic times ⋮ Operator-valued Schatten spaces and quantum entropies ⋮ Trace distance ergodicity for quantum Markov semigroups ⋮ Szegedy walk unitaries for quantum maps ⋮ Approximate tensorization of the relative entropy for noncommuting conditional expectations ⋮ Hypercontractivity and logarithmic Sobolev inequality for non-primitive quantum Markov semigroups and estimation of decoherence rates ⋮ Stability of logarithmic Sobolev inequalities under a noncommutative change of measure ⋮ Improved quantum hypercontractivity inequality for the qubit depolarizing channel

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