4. Consider two spin-1/2 systems interacting in such a way that the Hamiltonian has the form H(12) = Z & Z. Suppose that |(¹2)(0)) = x++). Write the unitary evolution of the system and the state (12) (t)) at time t. Let t₁ = t₂ = 211. (a) Is (12) (t₁)) entangled? (b) Is (12) (t₂)) entangled?

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4. Consider two spin-1/2 systems interacting in such a way that the Hamiltonian has the
form
H(12) = € Z® Z.
Suppose that
|v(12) (0)) = |r4x+).
Write the unitary evolution of the system and the state |V (12) (t)) at time t. Let t = ,
t2 = 211.
(a) Is |V(12) (t1)) entangled?
(b) Is |V(12) (t2)) entangled?
Transcribed Image Text:4. Consider two spin-1/2 systems interacting in such a way that the Hamiltonian has the form H(12) = € Z® Z. Suppose that |v(12) (0)) = |r4x+). Write the unitary evolution of the system and the state |V (12) (t)) at time t. Let t = , t2 = 211. (a) Is |V(12) (t1)) entangled? (b) Is |V(12) (t2)) entangled?
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