Concurrence classes for an arbitrary multi-qubit state based on positive operator valued measure

Details Concurrence classes for an arbitrary multi-qubit state based on positive operator valued measure Concurrence classes for an arbitrary multi-qubit state based on positive operator valued measure

2005-04-29

arxiv.org/abs/quant-ph/0504222v3

J. Phys. A: Math. Gen. 38 (2005) 11007-11017

Physics

Quantum Physics

8 pages

Scientific paper

10.1088/0305-4470/38/50/009

In this paper, we propose concurrence classes for an arbitrary multi-qubit state based on orthogonal complement of a positive operator valued measure, or POVM in short, on quantum phase. In particular, we construct concurrence for an arbitrary two-qubit state and concurrence classes for the three- and four-qubit states. And finally, we construct $W^{m}$ and $GHZ^{m}$ class concurrences for multi-qubit states. The unique structure of our POVM enables us to distinguish different concurrence classes for multi-qubit states.

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