Inseparability Criteria for Continuous Bipartite Quantum States

E. Shchukin and W. Vogel

Phys. Rev. Lett. 95, 230502 – Published 28 November 2005; Errata Phys. Rev. Lett. 95, 249904 (2005); Phys. Rev. Lett. 96, 129902 (2006)

Abstract

We provide necessary and sufficient conditions for the partial transposition of bipartite harmonic quantum states to be nonnegative. The conditions are formulated as an infinite series of inequalities for the moments of the state under study. The violation of any inequality of this series is a sufficient condition for entanglement. Previously known entanglement conditions are shown to be special cases of our approach.

Received 18 August 2005
Publisher error corrected 29 November 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.230502

Corrections

29 November 2005

Errata

Publisher’s Note: Inseparability Criteria for Continuous Bipartite Quantum States [Phys. Rev. Lett. 95, 230502 (2005)]

E. Shchukin and W. Vogel

Phys. Rev. Lett. 95, 249904 (2005)

Erratum: Inseparability Criteria for Continuous Bipartite Quantum States [Phys. Rev. Lett. 95, 230502 (2005)]

E. Shchukin and W. Vogel

Phys. Rev. Lett. 96, 129902 (2006)

Authors & Affiliations

E. Shchukin^* and W. Vogel^†

Arbeitsgruppe Quantenoptik, Institut für Physik, Universität Rostock, D-18051 Rostock, Germany

^*Electronic address: evgeny.shchukin@uni-rostock.de
^†Electronic address: werner.vogel@uni-rostock.de

Comments & Replies

Shchukin and Vogel Reply:

E. Shchukin and W. Vogel

Phys. Rev. Lett. 97, 058902 (2006)

Comment on “Inseparability Criteria for Continuous Bipartite Quantum States”

Adam Miranowicz and Marco Piani

Phys. Rev. Lett. 97, 058901 (2006)

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Issue

Vol. 95, Iss. 23 — 2 December 2005

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