dream_chaser
Jul9-07, 09:41 AM
Suppose we have a single qubit principal system ,interacting with a single qubit environment through the transformation
U=P0\otimesI+P1\otimesX
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>
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
U=P0\otimesI+P1\otimesX
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>
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