Hall, M., Andersson, E. and Brougham, T. (2006) Maximum observable correlation for a bipartite quantum system. Physical Review A: Atomic, Molecular and Optical Physics, 74(6), 062308. (doi: 10.1103/PhysRevA.74.062308)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Brougham, Dr Thomas |
| Authors: | Hall, M., Andersson, E., and Brougham, T. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Physical Review A: Atomic, Molecular and Optical Physics |
| Publisher: | American Physical Society |
| ISSN: | 1050-2947 |
| ISSN (Online): | 1094-1622 |
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