Maximum Observable Correlation for a Bipartite Quantum System
Date
2006
Authors
Hall, Michael
Andersson, Erika
Brougham, Thomas
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American Physical Society
Abstract
The maximum observable correlation between the two components of a bipartite quantum system is a property of the joint density operator, and is achieved by making particular measurements on the respective components. For pure states it corresponds to making measurements diagonal in a corresponding Schmidt basis. More generally, it is shown that the maximum correlation may be characterized in terms of a correlation basis for the joint density operator, which defines the corresponding (nondegenerate) optimal measurements. The maximum coincidence rate for spin measurements on two-qubit systems is determined to be (1+s)2, where s is the spectral norm of the spin correlation matrix, and upper bounds are obtained for n -valued measurements on general bipartite systems. It is shown that the maximum coincidence rate is never greater than the computable cross norm measure of entanglement, and a much tighter upper bound is conjectured. Connections with optimal state discrimination and entanglement bounds are briefly discussed.
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Keywords
Keywords: Computation theory; Correlation methods; Measurement theory; Optimization; Bipartite quantum systems; Joint density operators; Schmidt basis; Spin measurements; Quantum electronics
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Source
Physical Review A: Atomic, Molecular and Optical Physics
Type
Journal article
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2037-12-31
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