Quantum steerability based on jointly measurability

Zhi-Hua Chen, Xiangjun Ye, and Shao-Ming Fei

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Submission date: 16. Jan. 2018
Pages: 16
published in: Scientific Reports, 7 (2017), art-no. 15822 
DOI number (of the published article): 10.1038/s41598-017-15910-8
Bibtex
with the following different title: Quantum steerability based on joint measurability
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Abstract:
Lying in between entanglement and Bell nonlocality, the Einstein-Podolsky-Rosen (EPR) steering has received increasing attention in recent years. To characterize the EPR-steering, many criteria have been proposed and experimentally implemented. Nevertheless, only a few results are given to quantify the steerability with analytical results. In this work, we propose a method to quantify the steerability for two-qubit quantum states in the two-setting EPR-steering senario, by using the connection between joint measurability and the steerability. We derive the analytical formula of the steerability for a class of X-states. The sufficient and necessary conditions for two-setting EPR-steering are presented. Based on these results, a class of asymmetric states: one-way steerable states are obtained.