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, Dipankar Home

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1 Citation (Scopus)

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.

Original languageEnglish
Article number042306
JournalPhysical Review A
Volume98
Issue number4
DOIs
Publication statusPublished - 2018 Oct 3

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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