Concurrence in arbitrary dimensions

Details Concurrence in arbitrary dimensions Concurrence in arbitrary dimensions

2001-07-30

arxiv.org/abs/quant-ph/0107147v1

J. Mod. Opt. 49, 1289 (2002)

Physics

Quantum Physics

RevTeX 7 pages

Scientific paper

10.1080/09500340210121589

We argue that a complete characterisation of quantum correlations in bipartite systems of many dimensions may require a quantity which, even for pure states, does not reduce to a single number. Subsequently, we introduce multi-dimensional generalizations of concurrence and find evidence that they may provide useful tools for the analysis of quantum correlations in mixed bipartite states. We also introudce {\it biconcurrence} that leads to a necessary and sufficient condition for separability.

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