Improvement of stabilizer based entanglement distillation protocols by encoding operators

Details Improvement of stabilizer based entanglement distillation protocols by encoding operators Improvement of stabilizer based entanglement distillation protocols by encoding operators

2005-06-07

arxiv.org/abs/quant-ph/0506054v2

Journal of Physics A: Mathematical and General, vol.39, no.16, pp.4273--4290, March 2006

Physics

Quantum Physics

22 pages, 2 figures, In version 2, we enumerate all encoding operators in the Clifford group, and fix the wrong classification

Scientific paper

10.1088/0305-4470/39/16/013

This paper presents a method for enumerating all encoding operators in the Clifford group for a given stabilizer. Furthermore, we classify encoding operators into the equivalence classes such that EDPs (Entanglement Distillation Protocol) constructed from encoding operators in the same equivalence class have the same performance. By this classification, for a given parameter, the number of candidates for good EDPs is significantly reduced. As a result, we find the best EDP among EDPs constructed from [[4,2]] stabilizer codes. This EDP has a better performance than previously known EDPs over wide range of fidelity.

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