Quantum Discord Bounds the Amount of Distributed Entanglement

T. K. Chuan, J. Maillard, K. Modi, T. Paterek, M. Paternostro, and M. Piani
Phys. Rev. Lett. 109, 070501 – Published 16 August 2012
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Abstract

The ability to distribute quantum entanglement is a prerequisite for many fundamental tests of quantum theory and numerous quantum information protocols. Two distant parties can increase the amount of entanglement between them by means of quantum communication encoded in a carrier that is sent from one party to the other. Intriguingly, entanglement can be increased even when the exchanged carrier is not entangled with the parties. However, in light of the defining property of entanglement stating that it cannot increase under classical communication, the carrier must be quantum. Here we show that, in general, the increase of relative entropy of entanglement between two remote parties is bounded by the amount of nonclassical correlations of the carrier with the parties as quantified by the relative entropy of discord. We study implications of this bound, provide new examples of entanglement distribution via unentangled states, and put further limits on this phenomenon.

  • Figure
  • Received 1 April 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.070501

© 2012 American Physical Society

Authors & Affiliations

T. K. Chuan1, J. Maillard2, K. Modi3,1, T. Paterek1,4,*, M. Paternostro5, and M. Piani6,†

  • 1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore
  • 2Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2BZ, United Kingdom
  • 3Department of Physics, University of Oxford, Clarendon Laboratory, Oxford, OX1 3PU, United Kingdom
  • 4Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore
  • 5Centre for Theoretical Atomic, Molecular, and Optical Physics, School of Mathematics and Physics, Queen’s University, Belfast BT7 1NN, United Kingdom
  • 6Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, 200 University Avenue West, Waterloo, Ontario N2L 3G1, Canada

  • *tomasz.paterek@ntu.edu.sg
  • mpiani@iqc.ca

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Issue

Vol. 109, Iss. 7 — 17 August 2012

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