Passing quantum correlations to qubits using any two-mode state

Mauro Paternostro, Gerardo Adesso, and Steve Campbell
Phys. Rev. A 80, 062318 – Published 8 December 2009

Abstract

We draw an explicit connection between the statistical properties of an entangled two-mode continuous variable (CV) resource and the amount of entanglement that can be dynamically transferred to a pair of noninteracting two-level systems. More specifically, we rigorously reformulate entanglement-transfer process by making use of covariance matrix formalism. When the resource state is Gaussian, our method makes the approach to the transfer of quantum correlations much more flexible than in previously considered schemes and allows the straightforward inclusion of the effects of noise affecting the CV system. Moreover, the proposed method reveals that the use of de-Gaussified two-mode states is almost never advantageous for transferring entanglement with respect to the full Gaussian picture, despite the entanglement in the non-Gaussian resource can be much larger than in its Gaussian counterpart. We can thus conclude that the entanglement-transfer map overthrows the “ordering” relations valid at the level of CV resource states.

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  • Received 31 July 2009

DOI:https://doi.org/10.1103/PhysRevA.80.062318

©2009 American Physical Society

Authors & Affiliations

Mauro Paternostro1, Gerardo Adesso2, and Steve Campbell1

  • 1School of Mathematics and Physics, Queen’s University, Belfast BT7 1NN, United Kingdom
  • 2School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

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Issue

Vol. 80, Iss. 6 — December 2009

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