Concurrence in arbitrary dimensions
Piotr Badziag, Piotr Deuar, Michal Horodecki, Pawel Horodecki, Ryszard Horodecki
Abstract
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 biconcurrence that leads to a necessary and sufficient condition for separability.
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