# 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⟩?

## 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