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Detecting multipartite entanglement

Doherty, Andrew C. and Spedalieri, Federico M. and Parrilo, Pablo A. (2005) Detecting multipartite entanglement. Physical Review A, 71 (3). Art. No. 032333. ISSN 1050-2947. doi:10.1103/PhysRevA.71.032333.

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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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Parrilo, Pablo A.0000-0003-1132-8477
Additional Information:©2005 The American Physical Society (Received 28 September 2004; published 22 March 2005) A.C.D. and F.M.S. acknowledge support from the NSF Institute for Quantum Information under Grant No. EIA-0086083, and F.M.S. is grateful for support from the National Research Council, and NASA, Code Y. A.C.D. was also supported in part by the Caltech MURI Center for Quantum Networks (DAAD19-00-1-0374). Part of this work has been carried out at the Jet Propulsion Laboratory under a contract with the National Aeronautics and Space Administration (NASA). We would like to thank Jens Eisert for letting us know about closely related work that was simultaneously posted on the quant-ph archive [52].
Subject Keywords:quantum entanglement
Issue or Number:3
Record Number:CaltechAUTHORS:DOHpra05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2031
Deposited By: Archive Administrator
Deposited On:02 Mar 2006
Last Modified:08 Nov 2021 19:44

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