physics

posted by .

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 −.
Write M in the standard basis.
If M is the Hamiltonian acting on a qubit which is in the state |ψ(0)⟩=|0⟩ at time 0, what is the state of the qubit at time t? Assume that you are working in units such that ℏ=1. You may use e and t in your answer.
Now you perform an X=(0110) measurement on the qubit at time 0. What is the expected value of your measurement?
What if you perform the above measurement at time t=4π3 instead? What is the expected value of your measurement?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Quantum Physics

    Suppose that a qubit is in the state |ψ> = a |0> + √ (1-a^2)|1> where a [-1,1] . If we first perform a standard basis measurement on this qubit and then perform a |u>, |u⊥> -basis measurement where |u> …
  2. physics

    Consider the state |ψ〉 = √2 |0〉 + √2 |1〉 from the previous question. To estimate the phase θ, we measure |ψ〉 in the sign basis. What is the probability that the outcome of the measurement is +?
  3. physics

    Suppose that a qubit is in the state |φ〉 = a|0〉 + 1 − a2 |1〉 where a ∈ [−1, 1]. If we first perform a standard basis measurement on this qubit and then perform a |u〉, |u⊥ 〉-basis …
  4. Quantum Physics

    Alice and Bob share a state a|++> + b|-->, where the first qubit is Alice's and the second qubit is Bob's. Alice measures her qubit in the standard basis and sends the measurement outcome to Bob. If Bob wants his qubit in a|+> …
  5. Physics

    Alice and Bob share a state a|++⟩+b|−−⟩, where the first qubit is Alice's and the second qubit is Bob's. Alice measures her qubit in the standard basis and sends the measurement outcome to Bob. If Bob wants …
  6. Quantum Physics

    Alice and Bob share a state a| + +> + b |- -> , where the first qubit is Alice's and the second qubit is Bob's. Alice measures her qubit in the standard basis and sends the measurement outcome to Bob. If Bob wants his qubit to …
  7. physics

    Alice and Bob share a state a|++>+b|−−>, where the first qubit is Alice's and the second qubit is Bob's. Alice measures her qubit in the standard basis and sends the measurement outcome to Bob. If Bob wants his qubit …
  8. Quantum Physics

    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 …
  9. Physics

    Suppose that a qubit is in the state |\phi\rangle=a|0\rangle+\sqrt{1-a^2}|1\rangle where a\in[-1,1]. If we first perform a standard basis measurement on this qubit and then perform a |u\rangle,|u^\perp\rangle-basis measurement where …
  10. physics

    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 −. Write M in the standard basis. If M is the Hamiltonian acting …

More Similar Questions