quantum physics

8(a) Consider a spin qubit in the state 3ã2|0⟩+12|1⟩. What are the coordinates (ƒÆ,ϕ) of this qubit on the Bloch sphere?
Į=?
ϕ=?

8b. We turn on a magnetic field in the z^ direction at time t=0. This corresponds to the Hamiltonian H=BZ, where B is a constant and Z is the usual phase flip. What is the state of our qubit at time t as a function of B and t?

8c. What are the coordinates (ƒÆ,ϕ) of this qubit on the Bloch sphere at time t, as a function of B and t?

8d. Now suppose we start with the qubit |ƒÕ(0)⟩=|0⟩ and we apply a magnetic field in the x^ direction at t=0. This corresponds to the Hamiltonian H=BX, where B is a constant and X is the usual bit flip gate. What are the coordinates (ƒÆ,ϕ) of this qubit on the Bloch sphere at time t, as a function of B and t?
Į=?
ϕ=?

asked by Anonymous
  1. please help!!

    posted by Anonymous
  2. D
    Į = 2Bt
    phi = pi/2

    C - pi/3; 2*B*t

    do you need explanation ?

    posted by david
  3. @ David thanks but its wrong for d.

    posted by Anonymous
  4. can you explain..please

    posted by Anonymous
  5. try Į = 2Bt
    and phi = 0

    posted by ss01
  6. sorry for that
    @ss01 your phi is wrong that i am for sure it cannot be 0

    posted by david
  7. got my error
    8d ƒÆ= 0 and ϕ = 2bt
    check and tell me if i am right?
    8a ƒÆ = pi/3 and ϕ = 0

    posted by david
  8. r u right,david abt 8d?

    posted by stuart
  9. r u right,david abt 8d?and wat abt 8 b?

    posted by stuart
  10. ya, this time

    posted by david
  11. doing 8b

    posted by david
  12. its wrong.8 d,

    posted by stuart
  13. please help with 8d!!

    posted by Anonymous
  14. 8b:
    e^(-i*B*t)*sqrt(3)/2
    e^(i*B*t)/2

    please help with Q8D please

    posted by Anonymous
  15. 8D
    θ= 2⋅B⋅t
    ϕ= 3⋅π/2

    posted by Tu papi

Respond to this Question

First Name

Your Response

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
  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
  3. quantum physics

    8d. Now suppose we start with the qubit |ø(0)⟩=|0⟩ and we apply a magnetic field in the x^ direction at t=0. This corresponds to the Hamiltonian H=BX, where B is a constant and X is the usual bit flip gate. What are
  4. quantum physics

    8d. Now suppose we start with the qubit |ø(0)⟩=|0⟩ and we apply a magnetic field in the x^ direction at t=0. This corresponds to the Hamiltonian H=BX, where B is a constant and X is the usual bit flip gate. What are
  5. quantum physics

    Now suppose we start with the qubit |ø(0)⟩=|0⟩ and we apply a magnetic field in the x^ direction at t=0. This corresponds to the Hamiltonian H=BX, where B is a constant and X is the usual bit flip gate. What are the
  6. Physics

    A two-qubit system was originally in the state 34|00⟩−5√4|01⟩+14|10⟩−14|11⟩, and then we measured the first qubit to be 0. Now, if we measure the second qubit in the standard basis,
  7. math

    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⟩?
  8. 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⟩?
  9. 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
  10. 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

More Similar Questions