Detecting multipartite entanglement

Details Detecting multipartite entanglement Detecting multipartite entanglement

2004-07-19

arxiv.org/abs/quant-ph/0407143v1

Phys. Rev. A, Vol. 71, 032333 (2005)

Physics

Quantum Physics

9 pages, REVTEX

Scientific paper

10.1103/PhysRevA.71.032333

We discuss the problem of determining whether the state of several quantum mechanical subsystems is entangled. As in previous work on two subsystems we introduce a procedure for checking separability that is based on finding state extensions with appropriate properties and may be implemented as a semidefinite program. The main result of this work is to show that there is a series of tests of this kind such that if a multiparty state is entangled this will eventually be detected by one of the tests. The procedure also provides a means of constructing entanglement witnesses that could in principle be measured in order to demonstrate that the state is entangled.

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