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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