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2009

The joys of permutation symmetry: direct measurements of entanglement

van Enk, S. J.

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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.

The joys of permutation symmetry: direct measurements of entanglement · Around

Built on

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Or entanglement monotone, see G. Vidal, J. Mod. Opt. 47
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Similar

Pawel Horodecki and Artur Ekert, Phys. Rev. Lett. 89
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C.M. Caves et al
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P. Horodecki, Phys. Rev. Lett. 90
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Quantum State Estimation
2004
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O. Gühne and G. Toth, arXiv:0811.2803
Original
Cited in the paper.
H. Carteret, quant-ph/0309212
Cited in the paper.
S.J. van Enk, quant-ph/0606017
Cited in the paper.

Then

S.P. Walborn et al
2006
Later among the works it cites.
S.J. van Enk, N. Lutkenhaus, and H.J. Kimble, Phys. Rev. A Phys. Rev. A 75
2007
Later among the works it cites.
R. Renner, Nature Physics 3
2007
Later among the works it cites.
C. Schmid et al
2008
Later among the works it cites.

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