Operational quantification of simultaneous correlations in complementary bases of two-qubit states via one-sided semi-device-independent steering
| Autor: | Jebarathinam, Chellasamy, Das, Debarshi, Sarkar, Debasis |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 12 pages |
| Databáze: | arXiv |
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