Maximum observable correlation for a bipartite quantum system

Michael J W Hall, Erika Andersson, Thomas Brougham

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

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.

Original languageEnglish
Article number062308
Number of pages11
JournalPhysical Review A
Volume74
Issue number6
DOIs
Publication statusPublished - Dec 2006

Fingerprint

Dive into the research topics of 'Maximum observable correlation for a bipartite quantum system'. Together they form a unique fingerprint.

Cite this