One-body entanglement as a quantum resource in fermionic systems
One-body entanglement as a quantum resource in fermionic systems
cic.isFulltext | true | es |
cic.isPeerReviewed | true | es |
cic.lugarDesarrollo | Universidad Nacional de La Plata | es |
cic.version | info:eu-repo/semantics/submittedVersion | es |
dc.date.accessioned | 2021-06-08T16:11:30Z | |
dc.date.available | 2021-06-08T16:11:30Z | |
dc.identifier.uri | https://digital.cic.gba.gob.ar/handle/11746/10965 | |
dc.title | One-body entanglement as a quantum resource in fermionic systems | en |
dc.type | Artículo | es |
dcterms.abstract | 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 Nfermion 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. | en |
dcterms.creator.author | Gigena, Nicolás | es |
dcterms.creator.author | Di Tullio, Marco | es |
dcterms.creator.author | Rossignoli, Raúl Dante | es |
dcterms.identifier.url | Recurso completo | es |
dcterms.isPartOf.issue | vol. 102 | es |
dcterms.isPartOf.series | Physical Review A | es |
dcterms.issued | 2020-10-26 | |
dcterms.language | Inglés | es |
dcterms.license | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | es |
dcterms.subject | Quantum entanglement | en |
dcterms.subject | Fermionic systems | en |
dcterms.subject | Quantum resource theories | en |
dcterms.subject.materia | Ciencias Físicas | es |
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