Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Bardet, Ivan"'
Publikováno v:
Commun. Math. Phys. 405, 42 (2024)
Given a finite-range, translation-invariant commuting system Hamiltonians on a spin chain, we show that the Davies semigroup describing the reduced dynamics resulting from the joint Hamiltonian evolution of a spin chain weakly coupled to a large heat
Externí odkaz:
http://arxiv.org/abs/2112.00601
Publikováno v:
Phys. Rev. Lett. 130, 060401 (2023)
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:
http://arxiv.org/abs/2112.00593
Publikováno v:
Annales Henri Poincar\'e, 2021
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:
http://arxiv.org/abs/2001.07981
Publikováno v:
Journal of Mathematical Physics 62 (6), 061901 (2021)
The mixing time of Markovian dissipative evolutions of open quantum many-body systems can be bounded using optimal constants of certain quantum functional inequalities, such as the modified logarithmic Sobolev constant. For classical spin systems, th
Externí odkaz:
http://arxiv.org/abs/1908.09004
Publikováno v:
IEEE Transactions on Information Theory, vol. 67, no. 5, pp. 2878-2909, May 2021
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:
http://arxiv.org/abs/1904.11043
Autor:
Bardet, Ivan
Cette thèse se consacre à l'étude de certaines passerelles existantes entre les probabilités dîtes classiques et la théorie des systèmes quantiques ouverts. Le but de la première partie de ce manuscrit est d'étudier l'émergence de bruits cl
Externí odkaz:
http://www.theses.fr/2016LYSE1071/document
Publikováno v:
Ann. Henri Poincare 21, 3385-3406 (2020)
We study equivariant linear maps between finite-dimensional matrix algebras, as introduced by Bhat. These maps satisfy an algebraic property which makes it easy to study their positivity or k-positivity. They are therefore particularly suitable for a
Externí odkaz:
http://arxiv.org/abs/1811.08193
Autor:
Bardet, Ivan, Rouzé, Cambyse
We generalize the concepts of weak quantum logarithmic Sobolev inequality (LSI) and weak hypercontractivity (HC), introduced in the quantum setting by Olkiewicz and Zegarlinski, to the case of non-primitive quantum Markov semigroups (QMS). The origin
Externí odkaz:
http://arxiv.org/abs/1803.05379
This paper is devoted to the study of continuous-time processes known as continuous-time open quantum walks (CTOQWs). A CTOQW represents the evolution of a quantum particle constrained to move on a discrete graph, but also has internal degrees of fre
Externí odkaz:
http://arxiv.org/abs/1803.03436
We introduce a general framework for de Finetti reduction results, applicable to various notions of partially exchangeable probability distributions. Explicit statements are derived for the cases of exchangeability, Markov exchangeability, and some g
Externí odkaz:
http://arxiv.org/abs/1801.05240