Universal collective rotation channels and quantum error correction

Marius Junge, Peter T. Kim, David W. Kribs

Research output: Contribution to journalArticlepeer-review


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 correction. We prove that there is an abundance of noiseless subsystems for every channel in this class and that the Young tableaux combinatorial machine may be used to explicitly compute these subsystems.

Original languageEnglish (US)
Article number022102
JournalJournal of Mathematical Physics
Issue number2
StatePublished - Feb 2005

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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