Operator representations for a class of quantum entanglement measures and criterions

Details Operator representations for a class of quantum entanglement measures and criterions Operator representations for a class of quantum entanglement measures and criterions

2003-06-24

arxiv.org/abs/quant-ph/0306163v1

Physics

Quantum Physics

9 pages, no figures

Scientific paper

We find that a class of entanglement measures for bipartite pure state can be expressed by the average values of quantum operators, which are related to any complete basis of one partite operator space. Two specific examples are given based on two different ways to generalize Pauli matrices to $d$ dimensional Hilbert space and the case for identical particle system is also considered. In addition, applying our measure to mixed state case will give a sufficient condition for entanglement.

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