Physical characterization of quantum devices from nonlocal correlations

Jean-Daniel Bancal, Miguel Navascués, Valerio Scarani, Tamás Vértesi, and Tzyh Haur Yang
Phys. Rev. A 91, 022115 – Published 18 February 2015

Abstract

In the device-independent approach to quantum information theory, quantum systems are regarded as black boxes that, given an input (the measurement setting), return an output (the measurement result). These boxes are then treated regardless of their actual internal working. In this paper we develop swap, a theoretical concept that, in combination with the tool of semidefinite methods for the characterization of quantum correlations, allows us to estimate physical properties of the black boxes from the observed measurement statistics. We find that the swap tool provides bounds orders of magnitude better than previously known techniques (e.g., for a Clauser-Horne-Shimony-Holt violation larger than 2.57, swap predicts a singlet fidelity greater than 70%). This method also allows us to deal with hitherto intractable cases such as robust device-independent self-testing of nonmaximally entangled two-qutrit states in the Collins-Gisin-Linden-Massar-Popescu scenario (for which Jordan's lemma does not apply) and the device-independent certification of entangled measurements. We further apply the swap method to relate nonlocal correlations to work extraction and quantum dimensionality, hence demonstrating that this tool can be used to study a wide variety of properties relying on the sole knowledge of accessible statistics.

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  • Received 22 July 2014

DOI:https://doi.org/10.1103/PhysRevA.91.022115

©2015 American Physical Society

Authors & Affiliations

Jean-Daniel Bancal1, Miguel Navascués2, Valerio Scarani1,3, Tamás Vértesi4, and Tzyh Haur Yang1

  • 1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore
  • 2School of Physics, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
  • 3Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542, Singapore
  • 4Institute for Nuclear Research, Hungarian Academy of Sciences, P.O. Box 51, H-4001 Debrecen, Hungary

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Vol. 91, Iss. 2 — February 2015

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