Revealing the quantitative relation between simultaneous correlations in complementary bases and quantum steering for two-qubit Bell diagonal states

C. Jebarathinam, Aiman Khan, Som Kanjilal, and Dipankar Home
Phys. Rev. A 98, 042306 – Published 3 October 2018

Abstract

The present work is motivated by the question what aspect of correlation entailed by the two-qubit state serves as the appropriate quantitative resource for steering. To this end, considering Bell-diagonal states, suitable measures of simultaneous correlations in two and three complementary (mutually unbiased) bases are identified as the relevant resources for quantum steering. Quantitative relations between appropriate measures of quantum steering and corresponding measures of simultaneous correlations in complementary bases are demonstrated which ensure that for two-qubit steerable Bell-diagonal states, a higher value of simultaneous correlations in mutually unbiased bases necessarily implies a higher degree of quantum steering, both for two- and three-setting steering scenarios.

  • Received 11 April 2018

DOI:https://doi.org/10.1103/PhysRevA.98.042306

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

C. Jebarathinam1,*, Aiman Khan2, Som Kanjilal2, and Dipankar Home2

  • 1S. N. Bose National Centre for Basic Sciences, Salt Lake, Kolkata 700 106, India
  • 2Center for Astroparticle Physics and Space Science (CAPSS), Bose Institute, Block EN, Sector V, Salt Lake, Kolkata 700 091, India

  • *jebarathinam@bose.res.in

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Issue

Vol. 98, Iss. 4 — October 2018

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