The joys of permutation symmetry: direct measurements of entanglement

Details The joys of permutation symmetry: direct measurements of entanglement The joys of permutation symmetry: direct measurements of entanglement

2009-02-11

arxiv.org/abs/0902.2007v1

Phys. Rev. Lett. 102, 190503 (2009)

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.102.190503

So-called direct measurements of entanglement are collective measurements on multiple copies of a (bipartite or multipartite) quantum system that directly provide one a value for some entanglement measure, such as the concurrence for bipartite states. Multiple copies are needed since the entanglement of a mixed state is not a linear function of the density matrix. Unfortunately, so far all experimental implementations of direct measurements made unverified assumptions about the form of the states, and, therefore, do not qualify as entanglement verification tests. I discuss how a direct measurement can be turned into a quantitative entanglement verification test by exploiting a recent theorem by Renner (R. Renner, Nature Physics 3, 645 (2007)).

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