Test for entanglement using physically observable witness operators and positive maps

Details Test for entanglement using physically observable witness operators and positive maps Test for entanglement using physically observable witness operators and positive maps

2003-06-05

arxiv.org/abs/quant-ph/0306041v2

Phys. Rev. A 69, 022312 (2004)

Physics

Quantum Physics

6 pages, 1 figure, revtex4 style

Scientific paper

10.1103/PhysRevA.69.022312

Motivated by the Peres-Horodecki criterion and the realignment criterion we develop a more powerful method to identify entangled states for any bipartite system through a universal construction of the witness operator. The method also gives a new family of positive but non-completely positive maps of arbitrary high dimensions which provide a much better test than the witness operators themselves. Moreover, we find there are two types of positive maps that can detect 2xN and 4xN bound entangled states. Since entanglement witnesses are physical observables and may be measured locally our construction could be of great significance for future experiments.

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