Question: A qubit, initially in the state described by a density matrix = 10 01 , undergoes 11 one of the unitary gates {I,X,Y,Z}, picked at

A qubit, initially in the state described by a density matrix = 10 01 , undergoes 11 one of the unitary gates {I,X,Y,Z}, picked at random with uniform probability 1/4. What is the density matrix of the qubit after this random evolution

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