math

posted by .

Let |ϕ⟩=a|0⟩+b|1⟩ where a and b are nonnegative real numbers. We know that if we measure |ϕ⟩ in the standard basis, the probability of getting a 0 is 925. What is |ϕ⟩?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. quantum mechanics

    Suppose we have a qubit in the state |ψ⟩=12|0⟩+3√2|1⟩. If we measure this qubit in |u⟩=3√2|0⟩+12|1⟩,|u⊥⟩=−12|0⟩+3√2|1⟩ basis, what is …
  2. Physics

    We have a qubit in the state |ϕ⟩=3√2|0⟩+12|1⟩, which we want to measure in the {cosθ|0⟩+sinθ|1⟩,sinθ|0⟩−cosθ|1⟩} basis. In order for the two possible …
  3. physics

    Suppose we have |ϕ⟩=∑y∈{0,1}nβy|y⟩ such that βy=0 if s⋅y=1mod2 and βy=12(n−1)/2 if s⋅y=0mod2, where s is some hidden n-bit string. (a) If we run Fourier sampling on |ϕ⟩, …
  4. physics

    Suppose H⊗3|ϕ⟩=12√(|000⟩+|111⟩). What is |ϕ⟩?
  5. Physics

    Suppose H⊗3|ϕ⟩=(1/2)√(|000⟩+|111⟩). What is |ϕ⟩?
  6. physcics

    et |ϕ⟩=a|0⟩+b|1⟩ where a and b are nonnegative real numbers. We know that if we measure |ϕ⟩ in the standard basis, the probability of getting a 0 is 925. What is |ϕ⟩?
  7. Quantum Computing

    Suppose we have |ϕ⟩=∑y∈{0,1}nβy|y⟩ such that βy=0 if s⋅y=1mod2 and βy=12(n−1)/2 if s⋅y=0mod2, where s is some hidden n-bit string. Assume that s is not the all-zero string …
  8. quantummechanics

    The following circuit is designed for testing whether |u⟩=|v⟩. The three-qubit gate in the middle is called the controlled SWAP gate, which swaps the last two qubits if and only if the first qubit is 1 (a) If |u⟩=|v⟩=|+⟩, …
  9. Quantum Physics

    Suppose you are given an endless supply of qubits in the state 12√|00⟩+eiϕ2√|10⟩. To estimate the phase angle ϕ, you run Fourier sampling (i.e. Hadamard on each qubit followed by a standard basis …
  10. mastering quantum mechanics

    Problem 3: Rotating a spin state (3 parts , 15 point) PART A (6 points possible) Consider the |+⟩ state of a spin one-half particle (as usual |±⟩=|z;±⟩) and apply to it the rotation operator R that rotates states …

More Similar Questions