Einstein-Podolsky-Rosen steering for non-Gaussian states based on moment matrices

The Einstein-Podolsky-Rosen(EPR) steering is a manifestation of the quantum correlation in quantum systems. In this article, we adopt moment matrices, which are proposed by Kogias et.al. in [1], to calculate the steering of quantum states. Firstly, we show that moment matrices are superior to Clause...

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Bibliographic Details
Published in2016 3rd International Conference on Systems and Informatics (ICSAI) pp. 792 - 796
Main Authors Ying Xu, Li-zhen Jiang
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.11.2016
Subjects
Atmospheric measurements
Correlation
Covariance matrices
Linear matrix inequalities
Particle measurements
Photonics
Quantum entanglement
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DOI10.1109/ICSAI.2016.7811059

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Summary:The Einstein-Podolsky-Rosen(EPR) steering is a manifestation of the quantum correlation in quantum systems. In this article, we adopt moment matrices, which are proposed by Kogias et.al. in [1], to calculate the steering of quantum states. Firstly, we show that moment matrices are superior to Clauser-Horne-Shimony-Holt(CHSH) inequalities when applied to Inept states. Secondly, we use the method based on moment matrices to calculate the steering of non-Gaussian states. In particular, we deal with two mode vacuum squeezed states, photon subtracted states, and photon added states. Finally, we get the steering range of these non-Gaussian states respectively. The moment matrices behave useful for the calculation of the steering of Non-Gaussian states.
DOI:10.1109/ICSAI.2016.7811059