Symmetrization for quantum networks: a continuous-time approach

Fuente: arXiv
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Hauptverfasser: Ticozzi, Francesco, Mazzarella, Luca, Sarlette, Alain
Format: Preprint
Veröffentlicht: 2014
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author Ticozzi, Francesco
Mazzarella, Luca
Sarlette, Alain
author_facet Ticozzi, Francesco
Mazzarella, Luca
Sarlette, Alain
contents In this paper we propose a continuous-time, dissipative Markov dynamics that asymptotically drives a network of n-dimensional quantum systems to the set of states that are invariant under the action of the subsystem permutation group. The Lindblad-type generator of the dynamics is built with two-body subsystem swap operators, thus satisfying locality constraints, and preserve symmetric observables. The potential use of the proposed generator in combination with local control and measurement actions is illustrated with two applications: the generation of a global pure state and the estimation of the network size.
format Preprint
id arxiv_https___arxiv_org_abs_1403_3582
institution arXiv
publishDate 2014
record_format arxiv
spellingShingle Symmetrization for quantum networks: a continuous-time approach
Ticozzi, Francesco
Mazzarella, Luca
Sarlette, Alain
Quantum Physics
In this paper we propose a continuous-time, dissipative Markov dynamics that asymptotically drives a network of n-dimensional quantum systems to the set of states that are invariant under the action of the subsystem permutation group. The Lindblad-type generator of the dynamics is built with two-body subsystem swap operators, thus satisfying locality constraints, and preserve symmetric observables. The potential use of the proposed generator in combination with local control and measurement actions is illustrated with two applications: the generation of a global pure state and the estimation of the network size.
title Symmetrization for quantum networks: a continuous-time approach
topic Quantum Physics
url https://arxiv.org/abs/1403.3582