Maximum observable correlation for a bipartite quantum system

Details Maximum observable correlation for a bipartite quantum system Maximum observable correlation for a bipartite quantum system

2006-09-11

arxiv.org/abs/quant-ph/0609076v1

Phys. Rev. A 74 (2006) 062308

Physics

Quantum Physics

Revtex, no figures

Scientific paper

10.1103/PhysRevA.74.062308

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 characterised 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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