One-body information loss in fermion systems

We propose an entropic measure of nonclassical correlations in general mixed states of fermion systems, based on the loss of information due to the unread measurement of the occupancy of single-particle states of a given basis. When minimized over all possible single-particle bases, the measure redu...

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Autores principales: Gigena, Nicolás Alejandro, Rossignoli, Raúl Dante
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Física
Entanglement measures
Quantum Information
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/154381
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-154381
record_format dspace
spelling I19-R120-10915-1543812023-06-16T04:06:02Z http://sedici.unlp.edu.ar/handle/10915/154381 issn:1050-2947 issn:1094-1622 One-body information loss in fermion systems Gigena, Nicolás Alejandro Rossignoli, Raúl Dante 2016 2023-06-15T14:41:27Z en Física Entanglement measures Quantum Information We propose an entropic measure of nonclassical correlations in general mixed states of fermion systems, based on the loss of information due to the unread measurement of the occupancy of single-particle states of a given basis. When minimized over all possible single-particle bases, the measure reduces to an entanglement entropy for pure states and vanishes only for states which are diagonal in a Slater determinant basis. The approach is also suitable for states having definite number parity yet not necessarily a fixed particle number, in which case the minimization can be extended to all bases related through a Bogoliubov transformation if quasiparticle mode measurements are also considered. General stationary conditions for determining the optimizing basis are derived. For a mixture of a general pure state with the maximally mixed state, a general analytic evaluation of the present measure and optimizing basis is provided, which shows that nonentangled mixed states may nonetheless exhibit a nonzero information loss. Quantum Information Research Group Instituto de Física La Plata Articulo Articulo http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Entanglement measures
Quantum Information
spellingShingle Física
Entanglement measures
Quantum Information
Gigena, Nicolás Alejandro
Rossignoli, Raúl Dante
One-body information loss in fermion systems
topic_facet Física
Entanglement measures
Quantum Information
description We propose an entropic measure of nonclassical correlations in general mixed states of fermion systems, based on the loss of information due to the unread measurement of the occupancy of single-particle states of a given basis. When minimized over all possible single-particle bases, the measure reduces to an entanglement entropy for pure states and vanishes only for states which are diagonal in a Slater determinant basis. The approach is also suitable for states having definite number parity yet not necessarily a fixed particle number, in which case the minimization can be extended to all bases related through a Bogoliubov transformation if quasiparticle mode measurements are also considered. General stationary conditions for determining the optimizing basis are derived. For a mixture of a general pure state with the maximally mixed state, a general analytic evaluation of the present measure and optimizing basis is provided, which shows that nonentangled mixed states may nonetheless exhibit a nonzero information loss.
format Articulo
Articulo
author Gigena, Nicolás Alejandro
Rossignoli, Raúl Dante
author_facet Gigena, Nicolás Alejandro
Rossignoli, Raúl Dante
author_sort Gigena, Nicolás Alejandro
title One-body information loss in fermion systems
title_short One-body information loss in fermion systems
title_full One-body information loss in fermion systems
title_fullStr One-body information loss in fermion systems
title_full_unstemmed One-body information loss in fermion systems
title_sort one-body information loss in fermion systems
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/154381
work_keys_str_mv AT gigenanicolasalejandro onebodyinformationlossinfermionsystems
AT rossignolirauldante onebodyinformationlossinfermionsystems
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