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arXiv · 1704.08600

Family of Bell inequalities violated by higher-dimensional bound entangled states

Karoly F Pal·Tamas Vertesi
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Abstract

We construct ($d\times d$)-dimensional bound entangled states, which violate, for any $d>2$, a bipartite Bell inequality introduced in this paper. We conjecture that the proposed class of Bell inequalities acts as a dimension witness for bound entangled states: For any $d>2$ there exists a Bell inequality from this class that can be violated with bound entangled states only if their Hilbert space dimension is at least $d\times d$. Numerics supports this conjecture up to $d=8$.

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Karoly F Pal, Tamas Vertesi. 2017-12-28. Family of Bell inequalities violated by higher-dimensional bound entangled states. https://doi.org/10.1103/physreva.96.022123

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