A multi-photon Stokes-parameter invariant for entangled states

Details A multi-photon Stokes-parameter invariant for entangled states A multi-photon Stokes-parameter invariant for entangled states

2003-01-23

arxiv.org/abs/quant-ph/0301128v1

Physics Review A 67, 032307 (2003).

Physics

Quantum Physics

9 pages, 0 figures, Accepted for publication in Physical Review A

Scientific paper

10.1103/PhysRevA.67.032307

We consider the Minkowskian norm of the n-photon Stokes tensor, a scalar invariant under the group realized by the transformations of stochastic local quantum operations and classical communications (SLOCC). This invariant is offered as a candidate entanglement measure for n-qubit states and discussed in relation to measures of quantum state entanglement for certain important classes of two-qubit and three-qubit systems. This invariant can be directly estimated via a quantum network, obviating the need to perform laborious quantum state tomography. We also show that this invariant directly captures the extent of entanglement purification due to SLOCC filters.

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