Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Attal, Stephane"'
In the framework of quantum open systems, that is, simple quantum systems coupled to quantum baths, our aim is to characterize those actions of the quantum environment which give rise to dynamics dictated by classical noises. First, we consider the d
Externí odkaz:
http://arxiv.org/abs/1907.09277
Autor:
Attal, Stéphane, Bardet, Ivan
Among quantum Langevin equations describing the unitary time evolution of a quantum system in contact with a quantum bath, we completely characterize those equations which are actually driven by classical noises. The characterization is purely algebr
Externí odkaz:
http://arxiv.org/abs/1610.02954
Open Quantum Random Walks, as developed in \cite{APSS}, are a quantum generalization of Markov chains on finite graphs or on lattices. These random walks are typically quantum in their behavior, step by step, but they seem to show up a rather classic
Externí odkaz:
http://arxiv.org/abs/1206.1472
Autor:
Attal, Stéphane
This article presents several results establishing connections be- tween Markov chains and dynamical systems, from the point of view of open systems in physics. We show how all Markov chains can be understood as the information on one component that
Externí odkaz:
http://arxiv.org/abs/1010.2894
Autor:
Attal, Stéphane, Nechita, Ion
Publikováno v:
S\'eminaire de Probabilit\'es XLIII, LNM, (2011), vol. 2006/2011, 379-394
We prove that the free Fock space ${\F}(\R^+;\C)$, which is very commonly used in Free Probability Theory, is the continuous free product of copies of the space $\C^2$. We describe an explicit embedding and approximation of this continuous free produ
Externí odkaz:
http://arxiv.org/abs/0810.4070
Autor:
Attal, Stéphane, Dhahri, Ameur
Among the discrete evolution equations describing a quantum system $\rH_S$ undergoing repeated quantum interactions with a chain of exterior systems, we study and characterize those which are directed by classical random variables in $\RR^N$. The cha
Externí odkaz:
http://arxiv.org/abs/0712.3417
We study the statistical properties of the triplet $(\sigma_x,\sigma_y,\sigma_z)$ of Pauli matrices going through a sequence of noisy channels, modeled by the repetition of a general, trace-preserving, completely positive map. We show a non-commutati
Externí odkaz:
http://arxiv.org/abs/0712.3418
Autor:
Attal, Stephane, Joye, Alain
We consider a quantum system in contact with a heat bath consisting in an infinite chain of identical sub-systems at thermal equilibrium at inverse temperature $\beta$. The time evolution is discrete and such that over each time step of duration $\ta
Externí odkaz:
http://arxiv.org/abs/math-ph/0501012
Autor:
Attal, Stephane, Pautrat, Yan
In quantum physics, the state space of a countable chain of (n+1)-level atoms becomes, in the continuous field limit, a Fock space with multiplicity n. In a more functional analytic language, the continuous tensor product space over R of copies of th
Externí odkaz:
http://arxiv.org/abs/math/0402064
Autor:
Attal, Stéphane, Lindsay, J. Martin
Publikováno v:
The Annals of Probability, 2004 Jan 01. 32(1), 488-529.
Externí odkaz:
https://www.jstor.org/stable/3481567
