Tsirelson's problem and asymptotically commuting unitary matrices

Tsirelson's problem and asymptotically commuting unitary matrices

In this paper, we consider quantum correlations of bipartite systems having a slight interaction, and reinterpret Tsirelson's problem (and hence Kirchberg's and Connes's conjectures) in terms of finite-dimensional asymptotically commuting positive operator valued measures. We also con...

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Veröffentlicht in:Journal of mathematical physics 2013-03, Vol.54 (3), p.1
1. Verfasser: Ozawa, Narutaka
Format: Artikel
Sprache:eng
Schlagworte:
ALGEBRA
Asymptotic methods
Asymptotic properties
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Correlation analysis
CORRELATIONS
INTERACTIONS
Mathematical analysis
MATHEMATICAL METHODS AND COMPUTING
Mathematical problems
MATRICES
Matrices (mathematics)
Matrix
Matrix methods
Positive operator valued measure
Quantum physics
Theory
UNITARY SYMMETRY
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Beschreibung
Zusammenfassung:In this paper, we consider quantum correlations of bipartite systems having a slight interaction, and reinterpret Tsirelson's problem (and hence Kirchberg's and Connes's conjectures) in terms of finite-dimensional asymptotically commuting positive operator valued measures. We also consider the systems of asymptotically commuting unitary matrices and formulate the Stronger Kirchberg Conjecture.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4795391