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Local Realism, Detection Efficiencies, and Probability Polytopes

Wilms, J. ; Disser, Y. ; Alber, G. ; Percival, I. C. (2008)
Local Realism, Detection Efficiencies, and Probability Polytopes.
In: Physical Review A, 78 (3)
doi: 10.1103/PhysRevA.78.032116
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

We present a detailed investigation of minimum detection efficiencies, below which local realism cannot be violated by any quantum system of any dimension in bipartite Bell experiments. Lower bounds on these minimum detection efficiencies are determined with the help of linear programming techniques. Our approach is based on the observation that any possible bipartite quantum correlation originating from a quantum state in an arbitrary dimensional Hilbert space is sandwiched between two probability polytopes, namely the local (Bell) polytope and a corresponding nonlocal no-signaling polytope. Numerical results are presented demonstrating the dependence of these lower bounds on the numbers of inputs and outputs of the bipartite physical system.

Typ des Eintrags: Artikel
Erschienen: 2008
Autor(en): Wilms, J. ; Disser, Y. ; Alber, G. ; Percival, I. C.
Art des Eintrags: Bibliographie
Titel: Local Realism, Detection Efficiencies, and Probability Polytopes
Sprache: Englisch
Publikationsjahr: 23 September 2008
Verlag: APS Physics
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Physical Review A
Jahrgang/Volume einer Zeitschrift: 78
(Heft-)Nummer: 3
DOI: 10.1103/PhysRevA.78.032116
Kurzbeschreibung (Abstract):

We present a detailed investigation of minimum detection efficiencies, below which local realism cannot be violated by any quantum system of any dimension in bipartite Bell experiments. Lower bounds on these minimum detection efficiencies are determined with the help of linear programming techniques. Our approach is based on the observation that any possible bipartite quantum correlation originating from a quantum state in an arbitrary dimensional Hilbert space is sandwiched between two probability polytopes, namely the local (Bell) polytope and a corresponding nonlocal no-signaling polytope. Numerical results are presented demonstrating the dependence of these lower bounds on the numbers of inputs and outputs of the bipartite physical system.

Zusätzliche Informationen:

Art.No.: 032116

Fachbereich(e)/-gebiet(e): Exzellenzinitiative
Exzellenzinitiative > Graduiertenschulen
Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE)
04 Fachbereich Mathematik
04 Fachbereich Mathematik > Optimierung
04 Fachbereich Mathematik > Optimierung > Discrete Optimization
05 Fachbereich Physik
05 Fachbereich Physik > Institut für Angewandte Physik
05 Fachbereich Physik > Institut für Angewandte Physik > Theoretische Quantenphysik
Hinterlegungsdatum: 14 Okt 2016 07:24
Letzte Änderung: 10 Mai 2022 08:00
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