Ke Li’s Lemma for Quantum Hypothesis Testing in General Von Neumann Algebras

Autor: Yan Pautrat, Simeng Wang

Publikováno v: Annales Henri Poincaré.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f521c3cfff4fc8259050217b01d47dbc
https://doi.org/10.1007/s00023-023-01269-2

Recurrence and Transience of Continuous-Time Open Quantum Walks

Autor: Yan Pautrat, Clément Pellegrini, Hugo Bringuier, Ivan Bardet

Publikováno v: Lecture Notes in Mathematics ISBN: 9783030285340

This paper is devoted to the study of continuous-time processes known as continuous-time open quantum walks (CTOQW). A CTOQW represents the evolution of a quantum particle constrained to move on a discrete graph, but which also has internal degrees o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::11f5c593e6ab4e3db0da3990e6826c9d
https://doi.org/10.1007/978-3-030-28535-7_18

Invariant Measure for Quantum Trajectories

Autor: Tristan Benoist, Yan Pautrat, Martin Fraas, Clément Pellegrini

Publikováno v: Probability Theory and Related Fields
Probability Theory and Related Fields, Springer Verlag, In press, ⟨10.1007/s00440-018-0862-9⟩
Probability Theory and Related Fields, In press, ⟨10.1007/s00440-018-0862-9⟩

We study a class of Markov chains that model the evolution of a quantum system subject to repeated measurements. Each Markov chain in this class is defined by a measure on the space of matrices. It is then given by a random product of correlated matr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddda5fce997357d540448dfaed976f9c
https://hal.archives-ouvertes.fr/hal-01502144

Landauer's Principle in Repeated Interaction Systems

Autor: Eric P. Hanson, Alain Joye, Renaud Raquépas, Yan Pautrat

Publikováno v: Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2017, 349, pp.285-327

We study Landauer's Principle for Repeated Interaction Systems (RIS) consisting of a reference quantum system $\mathcal{S}$ in contact with a structured environment $\mathcal{E}$ made of a chain of independent quantum probes; $\mathcal{S}$ interacts

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f71d4a669c3228caa95e61819e478f7
https://hal.archives-ouvertes.fr/hal-01214207

On entropy production of repeated quantum measurements I. General theory

Autor: Claude-Alain Pillet, Tristan Benoist, Vojkan Jaksic, Yan Pautrat

Publikováno v: Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2018, 357 (1), pp.77-123. ⟨10.1007/s00220-017-2947-1⟩
Communications in Mathematical Physics, 2018, 357 (1), pp.77-123. ⟨10.1007/s00220-017-2947-1⟩

International audience; We study entropy production (EP) in processes involving repeated quantum measurements of finite quantum systems. Adopting a dynamical system approach, we develop a thermodynamic formalism for the EP and study fine aspects of i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fff65d06b77e6a07ab4f5a00a41885d2
http://arxiv.org/abs/1607.00162