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Quantum States with a Positive Partial Transpose are Useful for Metrology

Géza Tóth and Tamás Vértesi
Phys. Rev. Lett. 120, 020506 – Published 12 January 2018
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Abstract

We show that multipartite quantum states that have a positive partial transpose with respect to all bipartitions of the particles can outperform separable states in linear interferometers. We introduce a powerful iterative method to find such states. We present some examples for multipartite states and examine the scaling of the precision with the particle number. Some bipartite examples are also shown that possess an entanglement very robust to noise. We also discuss the relation of metrological usefulness to Bell inequality violation. We find that quantum states that do not violate any Bell inequality can outperform separable states metrologically. We present such states with a positive partial transpose, as well as with a nonpositive partial transpose.

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  • Received 27 September 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.020506

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Géza Tóth1,2,3,* and Tamás Vértesi4,†

  • 1Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, E-48080 Bilbao, Spain
  • 2IKERBASQUE, Basque Foundation for Science, E-48013 Bilbao, Spain
  • 3Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary
  • 4Institute for Nuclear Research, Hungarian Academy of Sciences, P.O. Box 51, H-4001 Debrecen, Hungary

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Issue

Vol. 120, Iss. 2 — 12 January 2018

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