Conditions for entanglement in multipartite systems

Mark Hillery, Ho Trung Dung, and Hongjun Zheng
Phys. Rev. A 81, 062322 – Published 17 June 2010

Abstract

We introduce two entanglement conditions that take the form of inequalities involving expectation values of operators. These conditions are sufficient conditions for entanglement; that is, if they are satisfied the state is entangled, but if they are not, one can say nothing about the entanglement of the state. These conditions are quite flexible, because the operators in them are not specified, and they are particularly useful in detecting multipartite entanglement. We explore the range of utility of these conditions by considering a number of examples of entangled states, and seeing under what conditions entanglement in them can be detected by the inequalities presented here.

  • Received 7 May 2010

DOI:https://doi.org/10.1103/PhysRevA.81.062322

©2010 American Physical Society

Authors & Affiliations

Mark Hillery1, Ho Trung Dung1,2, and Hongjun Zheng1

  • 1Department of Physics, Hunter College of CUNY, 695 Park Avenue, New York, New York 10065, USA
  • 2Institute of Physics, Academy of Sciences and Technology, 1 Mac Dinh Chi Street, District 1, Ho Chi Minh City, Vietnam

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Issue

Vol. 81, Iss. 6 — June 2010

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