Approximate Tensorization of the Relative Entropy for Noncommuting Conditional Expectations

Autor: Cambyse Rouzé, Angela Capel, Ivan Bardet

Publikováno v: Annales Henri Poincaré
Annales Henri Poincaré, 2022, 23 (1), pp.101-140. ⟨10.1007/s00023-021-01088-3⟩

In this paper, we derive a new generalisation of the strong subadditivity of the entropy to the setting of general conditional expectations onto arbitrary finite-dimensional von Neumann algebras. The latter inequality, which we call approximate tenso

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47a46ecdded7ad9fcd50320f456a9a0a
https://doi.org/10.1007/s00023-021-01088-3

Rapid thermalization of spin chain commuting Hamiltonians

Autor: Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Cambyse Rouzé

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
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We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilibrium in a time which scales logarithmically with the system size. Our

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7fdd8b6a5539abbd696c35cc1250b43
https://hal.archives-ouvertes.fr/hal-03538313

Group transference techniques for the estimation of the decoherence times and capacities of quantum Markov semigroups

Autor: Cambyse Rouzé, Daniel Stilck França, Nicholas LaRacuente, Ivan Bardet, Marius Junge

Publikováno v: IEEE Transactions on Information Theory
IEEE Transactions on Information Theory, 2021, 67 (5), pp.2878-2909. ⟨10.1109/TIT.2021.3065452⟩
Bardet, I, Junge, M, Laracuente, N, Rouze, C & Franca, D S 2021, ' Group Transference Techniques for the Estimation of the Decoherence Times and Capacities of Quantum Markov Semigroups ', IEEE Transactions on Information Theory, vol. 67, no. 5, 9376918, pp. 2878-2909 . https://doi.org/10.1109/TIT.2021.3065452

Capacities of quantum channels and decoherence times both quantify the extent to which quantum information can withstand degradation by interactions with its environment. However, calculating capacities directly is known to be intractable in general.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f029d7f86a44be8e232deef51591f4f4

Passage times, exit times and Dirichlet problems for open quantum walks

Autor: Denis Bernard, Yan Pautrat, Ivan Bardet

Publikováno v: Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2017, ⟨10.1007/s10955-017-1749-3⟩

International audience; We consider open quantum walks on a graph, and consider the random variables defined as the passage time and number of visits to a given point of the graph. We study in particular the probability that the passage time is finit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::adf1b192b66d185ff93460fda9c7f870
http://arxiv.org/abs/1610.06772