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What is the Clifford Group?

  1. Jan 17, 2010 #1
    I am reading some book on quantum computing, and it mentions the Clifford group. I understand the Pauli Group and the idea that Clifford group consists of unitaries that map the elements in the Pauli group back to the Pauli group, but what are these unitaries exactly? Can you list some of them. Also it says that for a single qubit there are 24 unitaries? that just seems too much. And finally, the unitaries are generated by the Hadamard gate, phase gate and the CNOT gate, can somebody show me how this is possible.

    I think if you can simply list the exact form of the unitaries I will be able to answer my own questions, but if you can't bother to do so then please tell me where to find them.
  2. jcsd
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