Fidelity Matters: The Birth of Entanglement in the Mixing of Gaussian States

Stefano Olivares and Matteo G. A. Paris
Phys. Rev. Lett. 107, 170505 – Published 20 October 2011

Abstract

We address the interaction of two Gaussian states through bilinear exchange Hamiltonians and analyze the correlations exhibited by the resulting bipartite systems. We demonstrate that entanglement arises if and only if the fidelity between the two input Gaussian states falls under a threshold value depending only on their purities, first moments, and the strength of the coupling. Our result clarifies the role of quantum fluctuations (squeezing) as a prerequisite for entanglement generation and provides a tool to optimize the generation of entanglement in linear systems of interest for quantum technology.

  • Figure
  • Figure
  • Received 24 March 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.170505

© 2011 American Physical Society

Authors & Affiliations

Stefano Olivares1,2,* and Matteo G. A. Paris3,2,†

  • 1Dipartimento di Fisica, Università degli Studi di Trieste, I-34151 Trieste, Italy
  • 2CNISM UdR Milano Statale, I-20133 Milano, Italy
  • 3Dipartimento di Fisica, Università degli Studi di Milano, I-20133 Milano, Italy

  • *stefano.olivares@ts.infn.it
  • matteo.paris@fisica.unimi.it

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 107, Iss. 17 — 21 October 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×