Abstract

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.

Date

January 1, 1970

Authors

Andrew C Doherty, Pablo A Parrilo, Federico M Spedalieri

Journal

Physical Review A—Atomic, Molecular, and Optical Physics

Volume

71

Issue

3

Pages

032333

Publisher

American Physical Society