# Optimality of entanglement witnesses constructed from arbitrary permutations

Optimality of entanglement witnesses constructed from arbitrary permutations The optimality of a class of entanglement witnesses constructed from any permutation $$\pi$$ π for any $$n\otimes n$$ n ⊗ n bipartite systems is investigated. A necessary and sufficient condition is presented for such entanglement witnesses to be optimal, and thus, a class of optimal entanglement witnesses constructed by permutations is obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Optimality of entanglement witnesses constructed from arbitrary permutations

, Volume 14 (7) – May 5, 2015
17 pages

/lp/springer_journal/optimality-of-entanglement-witnesses-constructed-from-arbitrary-0Lrww5L0jc
Publisher
Springer US
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1007-z
Publisher site
See Article on Publisher Site

### Abstract

The optimality of a class of entanglement witnesses constructed from any permutation $$\pi$$ π for any $$n\otimes n$$ n ⊗ n bipartite systems is investigated. A necessary and sufficient condition is presented for such entanglement witnesses to be optimal, and thus, a class of optimal entanglement witnesses constructed by permutations is obtained.

### Journal

Quantum Information ProcessingSpringer Journals

Published: May 5, 2015

### References

• When different entanglement witnesses detect the same entangled states
Hou, J-C; Guo, Y
• A new criterion and a special class of $$k$$ k -positive maps
Hou, J-C; Li, C-K; Poon, Y-T; Qi, X-F; Sze, N-S

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