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arXiv:quant-ph/0603105 · Physics Letters A

A class of bound entangled states

Shao-Ming Fei, Xianqing Li‐Jost, Bao-Zhi Sun

Published Dec 23, 2005• 23 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2005.12.038

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We construct ($d\ifmmode\times\else\texttimes\fi{}d$)-dimensional bound entangled states, which violate, for any d>2d>2d>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>2d>2d>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 $d\ifmmode\times\else\texttimes\fi{}d$. Numerics supports this conjecture up to d=8d=8d=8.