Entanglement Conditions for Two-Mode States

Mark Hillery and M. Suhail Zubairy
Phys. Rev. Lett. 96, 050503 – Published 7 February 2006

Abstract

We provide a class of inequalities whose violation shows the presence of entanglement in two-mode systems. We initially consider observables that are quadratic in the mode creation and annihilation operators and find conditions under which a two-mode state is entangled. Further examination allows us to formulate additional conditions for detecting entanglement. We conclude by showing how the methods used here can be extended to find entanglement in systems of more than two modes.

  • Received 17 June 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.050503

©2006 American Physical Society

Authors & Affiliations

Mark Hillery1 and M. Suhail Zubairy2

  • 1Department of Physics, Hunter College of CUNY, 695 Park Avenue, New York, New York 10021, USA
  • 2Institute for Quantum Studies and Department of Physics, Texas A&M University, College Station, Texas 77843, USA

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Issue

Vol. 96, Iss. 5 — 10 February 2006

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