4. Consider two spin-1/2 systems interacting in such a way that the Hamiltonian has theformH(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.%3D(a) Is |V(12)(t1)) entangled?(b) Is |V(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) = 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?