Trellises for stabilizer codes: definition and uses

Details Trellises for stabilizer codes: definition and uses Trellises for stabilizer codes: definition and uses

2005-12-05

arxiv.org/abs/quant-ph/0512041v1

Physics

Quantum Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevA.74.032304

Trellises play an important theoretical and practical role for classical codes. Their main utility is to devise complexity-efficient error estimation algorithms. Here, we describe trellis representations for quantum stabilizer codes. We show that they share the same properties as their classical analogs. In particular, for any stabilizer code it is possible to find a minimal trellis representation. Our construction is illustrated by two fundamental error estimation algorithms.

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