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)

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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 1
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 1 (48.77 KiB) Viewed 24 times
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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