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Optimal quantum violation of Clauser-Horne-Shimony-Holt like steering inequality | | Arup Roy
; Some Sankar Bhattacharya
; Amit Mukherjee
; Manik Banik
; | | Date: |
16 Mar 2015 | | Abstract: | We study a recently proposed Einstein-Podolsky-Rosen steering inequality
[arXiv- 1412.8178 (2014)]. Analogous to Clauser-Horne-Shimony-Holt (CHSH)
inequality for Bell nonlocality, in the simplest scenario, i.e., 2 parties, 2
measurements per party and 2 outcomes per measurement, this newly proposed
inequality has been proved to be necessary and sufficient for steering. In this
article, using an equivalence between measurement incompatibility (non joint
measurability) and steering, we find the optimal violation amount of this
inequality in quantum theory. Interestingly, the optimal violation amount
matches with optimal quantum violation of CHSH inequality, i.e., Cirel’son
quantity. We further study the optimal violation of this inequality for
different bipartite quantum states. To our surprise we find that optimal
violation amount is different for different $2$-qubit pure entangled states,
which is not the case for all other existing steering inequalities. | | Source: | arXiv, 1503.4649 | | Services: | Forum | Review | PDF | Favorites | |
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