Quantify entanglement by concurrence hierarchy

Physics – Quantum Physics

Scientific paper

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Revtex, 6 pages

Scientific paper

10.1088/0305-4470/36/14/316

We define the concurrence hierarchy as d-1 independent invariants under local unitary transformations in d-level quantum system. The first one is the original concurrence defined by Wootters et al in 2-level quantum system and generalized to d-level pure quantum states case. We propose to use this concurrence hierarchy as measurement of entanglement. This measurement does not increase under local quantum operations and classical communication.

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