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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
9/2018

Quantum steerability based on jointly measurability

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

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.

Received:
Jan 16, 2018
Published:
Jan 22, 2018

Related publications

inJournal
2017 Journal Open Access
Zhi-Hua Chen, Xiangjun Ye and Shao-Ming Fei

Quantum steerability based on joint measurability

In: Scientific reports, 7 (2017), p. 15822