Quantum Physics

posted by .

Let f:{0,1}^3→{0,1} with f(101)=1 and f(x)=0 for x≠101. In this question, we will run through two iterations of the algorithm.

(a) What is the superposition after the initialization step? Note that you can describe the superposition ∑x∈{0,1}3αx|x> by specifying two numbers α101 and αx for x≠101.
Answer in this format: α101: αx for x≠101:

(b) After the phase inversion in iteration 1?
Answer in this format: α101: αx for x≠101:

(c) After the inversion about mean in iteration 1?
Answer in this format: α101: αx for x≠101:

(d) After the phase inversion in iteration 2?
Answer in this format: α101: αx for x≠101:

(e) After the inversion about mean in iteration 2?
Answer in this format: α101: αx for x≠101:

  • Quantum Physics -

    Help please!

  • Quantum Physics -

    Anyone please!

  • Quantum Physics -

    1/sqrt(8),1/sqrt(8)
    -1/sqrt(8),1/sqrt(8)
    5/(2*sqrt(8)),1/(2*sqrt(8))
    -5/(2*sqrt(8)),1/(2*sqrt(8))
    11/(4*sqrt(8)),-1/(4*sqrt(8))

  • Quantum Physics -

    problem 6 plz

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Quantum Physics

    In this problem, we will carry out some steps of the quantum factoring algorithm for N = 15 (a) What is the period k of the periodic superposition set up by the quantum factoring algorithm if it chooses x = 2 ?
  2. Quantum Physics

    Suppose we ran m steps of Grover's algorithm on some function f (which has one marked element y) and the resulting superposition was exactly |y>. (a) What was the state after the (m−1)th step?
  3. Quantum Physics

    Let f:{0,1}->{0,1} with f(101)=1 and f(x)=0 for x ≠ 101 . In this question, we will run through two iterations of the algorithm. (a) What is the superposition after the initialization step?
  4. Quantum Physics

    Suppose we ran m steps of Grover's algorithm on some function f (which has one marked element y) and the resulting superposition was exactly |y⟩. (a) What was the state after the (m−1)-th step?
  5. Quantum Physics

    Suppose we ran m steps of Grover's algorithm on some function f (which has one marked element y) and the resulting superposition was exactly |y⟩. If we run for m+1 additional steps (i.e. total of 2m+1 steps from the initial …
  6. physics

    Suppose we ran m steps of Grover's algorithm on some function f (which has one marked element y) and the resulting superposition was exactly |y⟩. If we run for m+1 additional steps (i.e. total of 2m+1 steps from the initial …
  7. quantum physics

    ass 6 q6:Now, consider the case where N4 elements are marked instead of just one. If we run one iteration of Grover's algorithm and measure, what is the probability that we see a marked element?
  8. physics

    Suppose we ran m steps of Grover's algorithm on some function f (which has one marked element y) and the resulting superposition was exactly |y⟩. If we run for m+1 additional steps (i.e. total of 2m+1 steps from the initial …
  9. quantum physics

    the quantum factor algorithm for N=91 is carried out. What is the period k of the periodic superposition set up if it chooses x=8?
  10. Quantum computers

    PROBLEM 5 Suppose we ran m steps of Grover's algorithm on some function f (which has one marked element y) and the resulting superposition was exactly |y⟩. PROBLEM 5A (4 points possible) If we run for m+1 additional steps (i.e. …

More Similar Questions