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Physics Letters A

Comment on: “A class of bound entangled states” [Phys. Lett. A 352 (2006) 321]

Wei Cheng

Published Jan 19, 2007• 5 citations
Publisher
DOI
10.1016/j.physleta.2006.12.077

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A class of bound entangled states violating the Breuer–Hall criterion

Wei Cheng, Fang Xu, Hua Li

A strong and computational entanglement criterion, i.e. the Breuer–Hall criterion, has been proposed independently by Breuer [Phys. Rev. Lett. 97 (2006) 080501; J. Phys. A: Math. Gen. 39 (2006) 11847] and Hall [J. Phys. A: Math. Gen. 39 (2006) 14119]. As the first explicit example, we show that the class of bound entangled states found by Fei et al. [Phys. Lett. A 352 (2006) 321] exactly violate the Breuer–Hall criterion. This example can be considered as one of the test platforms of a variety of entanglement criteria and may be helpful for us to develop more powerful entanglement criteria.

Modern Physics Letters B•Aug 10, 2014•0 citations
A strong and computational entanglement criterion, i.e. the Breuer–Hall criterion, has been proposed independently by Breuer [Phys. Rev. Lett. 97 (2006) 080501; J. Phys. A: Math. Gen. 39 (2006) 11847] and Hall [J. Phys. A: Math. Gen. 39 (2006) 14119]. As the first explicit example, we show that the class of bound entangled states found by Fei et al. [Phys. Lett. A 352 (2006) 321] exactly violate the Breuer–Hall criterion. This example can be considered as one of the test platforms of a variety of entanglement criteria and may be helpful for us to develop more powerful entanglement criteria.