Physics

posted by .

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 |u\rangle=b|0\rangle+\sqrt{1-b^2}|1\rangle for some b\in[-1,1], what is the probability that the outcome of the second measurement is u, in terms of a and b?

Explicitly indicate multiplication with a * symbol.

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

    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 …
  3. 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|+> …
  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 to …
  5. 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 …
  6. Quantum Physics

    Let |\psi\rangle=\frac{1-i}{2}|0\rangle-\frac{1+i}{2}|1\rangle and |\phi\rangle=\frac{2+i}{3}|0\rangle-\frac{2i}{3}|1\rangle. What is \langle \psi\,|\,\phi\rangle?
  7. 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 …
  8. 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 …
  9. Quantum Physics

    Suppose you are given an endless supply of qubit pairs in the state 1/sqrt(2)|00> + e^iphi/sqrt(2)|10>. To estimate the phase angle phi, you run Fourier sampling (i.e. Hadamard on each qubit followed by a standard basis measurement) …
  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