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Homework Help: About the operatior-sum representation

  1. Jul 11, 2007 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    Suppose we have a single qubit principal system ,interacting with a single qubit environment through the transformation
    where X is the usual Pauli matrix (acting on the enviornment)and P0=|0><0| ,P1=|1><1| are projectors (acting on the system ).Give the quantum operation for this process ,in the operator-sum representation ,assuming the environment starts in the state |0>

    3. The attempt at a solution
    I have two problem about this exercise :
    1.how to represent the principal system
    2.how to find an orthonormal basis for the environment so that the operatior-sum representation can be arrived
  2. jcsd
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