Unified approach to geometric and positive-map-based nonlinear entanglement identifiers

Marcin Markiewicz , Adrian Kołodziejski , Zbigniew Puchała , Adam Rutkowski , Tomasz Tylec , Wiesław Laskowski

Abstract

Detecting quantumness of correlations (especially entanglement) is a very hard task even in the simplest case, i.e., two-partite quantum systems. Here we provide an analysis of whether there exists a relation between two of the most popular types of entanglement identifiers: the first one based on positive maps and not directly applicable in the laboratory and the second one a geometric entanglement identifier which is based on specific Hermiticity-preserving maps. We show a profound relation between those two types of entanglement criteria. Hereunder we have proposed a general framework of nonlinear functional entanglement identifiers which allows us to construct experimentally friendly entanglement criteria.
Author Marcin Markiewicz
Marcin Markiewicz,,
-
, Adrian Kołodziejski (FMPI/ITPA)
Adrian Kołodziejski ,,
- Institute of Theoretical Physics and Astrophysics
, Zbigniew Puchała
Zbigniew Puchała,,
-
, Adam Rutkowski (FMPI/ITPA)
Adam Rutkowski,,
- Institute of Theoretical Physics and Astrophysics
, Tomasz Tylec (FMPI/ITPA)
Tomasz Tylec,,
- Institute of Theoretical Physics and Astrophysics
, Wiesław Laskowski (FMPI/ITPA)
Wiesław Laskowski,,
- Institute of Theoretical Physics and Astrophysics
Journal seriesPhysical Review A, ISSN 2469-9926, e-ISSN 2469-9934, (A 35 pkt)
Issue year2018
Vol97
No4
Pages1-10
Publication size in sheets0.50
Article number042339
ASJC Classification3107 Atomic and Molecular Physics, and Optics
DOIDOI:10.1103/PhysRevA.97.042339
URL https://journals.aps.org/pra/pdf/10.1103/PhysRevA.97.042339
Languageen angielski
Score (nominal)35
Score sourcejournalList
ScoreMinisterial score = 35.0, 27-05-2020, ArticleFromJournal
Publication indicators WoS Citations = 0.000; Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.886; WoS Impact Factor: 2018 = 2.907 (2) - 2018=2.723 (5)
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