Universal collective rotation channels and quantum error correction

Details Universal collective rotation channels and quantum error correction Universal collective rotation channels and quantum error correction

2004-05-03

arxiv.org/abs/math/0405032v4

J. Math. Phys., 46 (2005), 022102.

Mathematics

Operator Algebras

28 pages, preprint version. To appear in J. Math. Physics

Scientific paper

10.1063/1.1824213

We present and investigate a new class of quantum channels, what we call `universal collective rotation channels', that includes the well-known class of collective rotation channels as a special case. The fixed point set and noise commutant coincide for a channel in this class. Computing the precise structure of this C*-algebra is a core problem in a particular noiseless subsystem method of quantum error correction. We prove that there is an abundance of noiseless subsystems for every channel in this class and that Young tableaux combinatorics can be used to explicitly compute these subsystems.

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