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 1050-2947, (A 35 pkt)
Issue year2018
Vol97
No4
Pages1-10
Publication size in sheets0.5
DOIDOI:10.1103/PhysRevA.97.042339
URL https://journals.aps.org/pra/pdf/10.1103/PhysRevA.97.042339
Languageen angielski
Score (nominal)35
ScoreMinisterial score = 35.0, 25-10-2018, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 25-10-2018, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 2.925 (2) - 2016=2.716 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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