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arXiv · 1803.08760

Role of maximally entangled states in the context of linear steering inequalities

Debarshi Das·Souradeep Sasmal·Arup Roy
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Abstract

Linear steering inequalities are useful to check whether a bipartite state is steerable when both the parties are allowed to perform $n$ dichotomic measurements on their parts. In the present study we propose the necessary and sufficient condition under which $2$-settings linear steering inequality will be violated for any given set of spin-$\frac{1}{2}$ observables at trusted and untrusted parties' sides. The important result revealed by the present paper is that maximally entangled two-qubit states give the largest quantum violations of $2$-settings as well as $3$-settings linear steering inequalities attainable for any given set of spin-$\frac{1}{2}$ observables at trusted and untrusted parties' sides (if any violation exists for that given set of spin-$\frac{1}{2}$ observables).

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Debarshi Das, Souradeep Sasmal, Arup Roy. 2019-08-25. Role of maximally entangled states in the context of linear steering inequalities. https://doi.org/10.1007/s11128-019-2427-y

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