Operational quantification of simultaneous correlations in complementary bases of two-qubit states via one-sided semi-device-independent steering

• URL: http://arxiv.org/abs/2407.11755v1
• Date: Tue, 16 Jul 2024 14:17:59 GMT
• Title: Operational quantification of simultaneous correlations in complementary bases of two-qubit states via one-sided semi-device-independent steering
• Authors: Chellasamy Jebarathinam, Debarshi Das, Debasis Sarkar,
• Abstract summary: For two-qubit states, we study the relationships between the quantification of one-sided semi-device-independent steerability and information-theoretic quantification of simultaneous correlations in mutually unbiased bases. We invoke quantum steering ellipsoid formalism to shed intuitions on our operational characterization of simultaneous correlations in complementary bases of two-qubit states that we consider.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Recently, a weak form of quantum steering, i.e., certification of quantum steering in a one-sided semi-device-independent way, has been formulated [Jebarathinam et al. Phys. Rev. A 108, 042211 (2023)]. In this work, for two-qubit states, we study the relationships between the quantification of one-sided semi-device-independent steerability and information-theoretic quantification of simultaneous correlations in mutually unbiased bases [Wu et al. Scientific Reports 4, 4036 (2014)]. For two-qubit states that belong to Bell-diagonal states, quantifying one-sided semi-device-independent steerability provides an operational characterization of information-theoretic quantification of simultaneous correlations in mutually unbiased bases. For another class of two-qubit states, we show that quantifying one-sided semi-device-independent steerability provides operational quantification of simultaneous correlations in mutually unbiased bases going beyond the above information-theoretic quantification. We invoke quantum steering ellipsoid formalism to shed intuitions on our operational characterization of simultaneous correlations in complementary bases of two-qubit states that we consider.

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