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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2020
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/125547 |
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I19-R120-10915-125547 |
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Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
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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 |
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Repositorios |
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1764820451841802241 |