2. The initial state vector of two spin-half particles (1 and 2) is given by 10) - ta(11), 11); +12), 1792) V2 where IT)
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2. The initial state vector of two spin-half particles (1 and 2) is given by 10) - ta(11), 11); +12), 1792) V2 where IT)
2. The initial state vector of two spin-half particles (1 and 2) is given by 10) - ta(11), 11); +12), 1792) V2 where IT), and |t), G = 1, 2) are spin up and spin down states. Given that the Hamiltonian of the system, H = gl 1)(11. ( )22(41 + )22(D a where g is an interaction constant, find the system state as a function of time. Then find the time at which the two particles are disentangled. This Hamiltonian can realize a controlled NOT gate. Hint: Think about the evolution operators if the particle 1 is in spin up and spin down states separately.
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