One-body entanglement as a quantum resource in fermionic systems

We show that one-body entanglement, which is a measure of the deviation of a pure fermionic state from a Slater determinant (SD) and is determined by the mixedness of the single-particle density matrix (SPDM), can be considered as a quantum resource. The associated theory has SDs and their convex hu...

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Autores principales: Gigena, Nicolás Alejandro, Di Tullio, Marco, Rossignoli, Raúl Dante
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Ciencias Exactas
Física
Entanglement entropy
Entanglement measures
Fermions
Quantum computation
Quantum entanglement
Resource theories
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125547
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-125547
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
Entanglement entropy
Entanglement measures
Fermions
Quantum computation
Quantum entanglement
Resource theories
spellingShingle Ciencias Exactas
Física
Entanglement entropy
Entanglement measures
Fermions
Quantum computation
Quantum entanglement
Resource theories
Gigena, Nicolás Alejandro
Di Tullio, Marco
Rossignoli, Raúl Dante
One-body entanglement as a quantum resource in fermionic systems
topic_facet Ciencias Exactas
Física
Entanglement entropy
Entanglement measures
Fermions
Quantum computation
Quantum entanglement
Resource theories
description We show that one-body entanglement, which is a measure of the deviation of a pure fermionic state from a Slater determinant (SD) and is determined by the mixedness of the single-particle density matrix (SPDM), can be considered as a quantum resource. The associated theory has SDs and their convex hull as free states, and number conserving fermion linear optics operations (FLO), which include one-body unitary transformations and measurements of the occupancy of single-particle modes, as the basic free operations. We first provide a bipartitelike formulation of one-body entanglement, based on a Schmidt-like decomposition of a pure N-fermion state, from which the SPDM [together with the (N-1)-body density matrix] can be derived. It is then proved that under FLO operations the initial and postmeasurement SPDMs always satisfy a majorization relation, which ensures that these operations cannot increase, on average, the one-body entanglement. It is finally shown that this resource is consistent with a model of fermionic quantum computation which requires correlations beyond antisymmetrization. More general free measurements and the relation with mode entanglement are also discussed.
format Articulo
Articulo
author Gigena, Nicolás Alejandro
Di Tullio, Marco
Rossignoli, Raúl Dante
author_facet Gigena, Nicolás Alejandro
Di Tullio, Marco
Rossignoli, Raúl Dante
author_sort Gigena, Nicolás Alejandro
title One-body entanglement as a quantum resource in fermionic systems
title_short One-body entanglement as a quantum resource in fermionic systems
title_full One-body entanglement as a quantum resource in fermionic systems
title_fullStr One-body entanglement as a quantum resource in fermionic systems
title_full_unstemmed One-body entanglement as a quantum resource in fermionic systems
title_sort one-body entanglement as a quantum resource in fermionic systems
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/125547
work_keys_str_mv AT gigenanicolasalejandro onebodyentanglementasaquantumresourceinfermionicsystems
AT ditulliomarco onebodyentanglementasaquantumresourceinfermionicsystems
AT rossignolirauldante onebodyentanglementasaquantumresourceinfermionicsystems
bdutipo_str Repositorios
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