Universal collective rotation channels and quantum error correction
arXiv:math/0405032 · doi:10.1063/1.1824213
Abstract
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.
28 pages, preprint version. To appear in J. Math. Physics
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Cited by in corpus (5)
- Dual pairing of symmetry groups and dynamical groups in physics
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- A method to find quantum noiseless subsystems
- Simplified formalism of the algebra of partially transposed permutation operators with applications
- Information storage and transmission under Markovian noise