Shun Watanabe et al 2006 J. Phys. A: Math. Gen. 39 4273 doi:10.1088/0305-4470/39/16/013
Shun Watanabe, Ryutaroh Matsumoto and Tomohiko Uyematsu
Show affiliationsThis 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 protocols) 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 a wide range of fidelity.
03.67.Mn Entanglement measures, witnesses, and other characterizations
03.65.Ta Foundations of quantum mechanics; measurement theory
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
81P15 Quantum measurement theory
81R15 Operator algebra methods (See also 46Lxx, 81T05)
11E88 Quadratic spaces; Clifford algebras (See also 15A63, 15A66)
Issue 16 (21 April 2006)
Received 7 November 2005
Published 31 March 2006
Shun Watanabe et al 2006 J. Phys. A: Math. Gen. 39 4273
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