Quantum Physics
posted by qwerty .
Consider the observable M that corresponds to a measurement in the sign basis where the measurement value is 3 if the outcome is + and 2 if the outcome is 
A)Write M in the standard basis.
B)If M is the Hamiltonian acting on a qubit which is in the state phy(0)> = 0> at time 0 , what is the state of the qubit at time t ? Assume that you are working in units such that h_bar=1 . You may use e and t in your answer.
C)Now you perform an X measurement on the qubit at time 0 . What is the expected value of your measurement?
D)What if you perform the above measurement at time t=4pi/3 instead? What is the expected value of your measurement?

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