Noiseless Subsystems for Collective Rotation Channels in Quantum Information Theory
نویسندگان
چکیده
Collective rotation channels are a fundamental class of channels in quantum computing and quantum information theory. The commutant of the noise operators for such a channel is a C∗-algebra which is equal to the set of fixed points for the channel. Finding the precise spatial structure of the commutant algebra for a set of noise operators associated with a channel is a core problem in quantum error prevention. We draw on methods of operator algebras, quantum mechanics and combinatorics to explicitly determine the structure of the commutant for the class of collective rotation channels.
منابع مشابه
Universal Collective Rotation Channels and Quantum Error Correction
We present and investigate a new class of quantum channels, what we call ‘universal collective rotation channels’, that includes the 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 ...
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