Tsirelson's problem and asymptotically commuting unitary matrices

Journal Article · Fri Mar 15 00:00:00 EDT 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4795391· OSTI ID:22162820

Ozawa, Narutaka ^[1]

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1. RIMS, Kyoto University, 606-8502 Kyoto (Japan)

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.

• OSTI ID: 22162820
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 3; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
ALGEBRA
CORRELATIONS
INTERACTIONS
MATRICES
UNITARY SYMMETRY