4. Consider two spin-1/2 systems interacting in such a way that the Hamiltonian has the form H(12) = e Z8 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 = 2t1. (a) Is |V(12)(t)) entangled? (b) Is |V(12) (t2)) entangled?
4. Consider two spin-1/2 systems interacting in such a way that the Hamiltonian has the form H(12) = e Z8 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 = 2t1. (a) Is |V(12)(t)) entangled? (b) Is |V(12) (t2)) entangled?
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Transcribed Image Text:4. Consider two spin-1/2 systems interacting in such a way that the Hamiltonian has the
form
H(12) = e Z ® Z.
Suppose that
||(12) (0)) = |r4.x+).
Write the unitary evolution of the system and the state |V (12)(t)) at time t. Let t = ,
t2 = 2t1.
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(a) Is |V(12)(t1)) entangled?
(b) Is |V(12)(t2)) entangled?
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