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Einstein-Podolsky-Rosen Steerability Criterion for Two-Qubit Density Matrices
arXiv
Authors: Jing-Ling Chen, Hong-Yi Su, Xiang-Jun Ye, Chunfeng Wu, C. H. Oh
Year
2011
Paper ID
31099
Status
Preprint
Abstract Read
~2 min
Abstract Words
91
Citations
N/A
Abstract
We propose a sufficient criterion {S}=λ1+λ2-\(λ1-λ2\)2<0 to detect Einstein-Podolsky-Rosen steering for arbitrary two-qubit density matrix ρAB. Here λ1,λ2 are respectively the minimal and the second minimal eigenvalues of ρTBAB, which is the partial transpose of ρAB. By investigating several typical two-qubit states such as the isotropic state, Bell-diagonal state, maximally entangled mixed state, etc., we show this criterion works efficiently and can make reasonable predictions for steerability. We also present a mixed state of which steerability always exists, and compare the result with the violation of steering inequalities.
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- This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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- We propose a sufficient criterion S=λ1+λ2-(λ1-λ2)^2
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