System-time entanglement in a discrete time model

We present a model of discrete quantum evolution based on quantum correlations between the evolving system and a reference quantum clock system. A quantum circuit for the model is provided, which in the case of a constant Hamiltonian is able to represent the evolution over2ntime steps in terms of ju...

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Detalles Bibliográficos
Autores principales: Boette, Alan Pablo, Rossignoli, Raúl Dante, Gigena, Nicolás Alejandro, Cerezo de la Roca, Marco Vinicio Sebastián
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2016
Materias:
Ciencias Exactas
Física
Quantum time models
Quantum entanglement
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/75321
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-75321
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Quantum time models
Quantum entanglement
spellingShingle Ciencias Exactas
Física
Quantum time models
Quantum entanglement
Boette, Alan Pablo
Rossignoli, Raúl Dante
Gigena, Nicolás Alejandro
Cerezo de la Roca, Marco Vinicio Sebastián
System-time entanglement in a discrete time model
topic_facet Ciencias Exactas
Física
Quantum time models
Quantum entanglement
description We present a model of discrete quantum evolution based on quantum correlations between the evolving system and a reference quantum clock system. A quantum circuit for the model is provided, which in the case of a constant Hamiltonian is able to represent the evolution over2ntime steps in terms of justntime qubits andncontrol gates. We then introduce the concept of system-time entanglement as a measure of distinguishable quantum evolution, based on the entanglement between the system and the reference clock. This quantity vanishes for stationary states and is maximum for systems jumping onto a new orthogonal state at each time step. In the case of a constant Hamiltonian leading to a cyclic evolution it is a measure of the spread over distinct energy eigenstates, and satisfies an entropic energy-time uncertainty relation. The evolution of mixed states is also examined. Analytical expressions for the basic case of a qubit clock, as well as for the continuous limit in the evolution between two states, are provided.
format Articulo
Preprint
author Boette, Alan Pablo
Rossignoli, Raúl Dante
Gigena, Nicolás Alejandro
Cerezo de la Roca, Marco Vinicio Sebastián
author_facet Boette, Alan Pablo
Rossignoli, Raúl Dante
Gigena, Nicolás Alejandro
Cerezo de la Roca, Marco Vinicio Sebastián
author_sort Boette, Alan Pablo
title System-time entanglement in a discrete time model
title_short System-time entanglement in a discrete time model
title_full System-time entanglement in a discrete time model
title_fullStr System-time entanglement in a discrete time model
title_full_unstemmed System-time entanglement in a discrete time model
title_sort system-time entanglement in a discrete time model
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/75321
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bdutipo_str Repositorios
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