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time evolution operator (quantum gates)

eyal
in Homework Help

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Hi,

Can anyone please show me how do i use the time evolution operator (V) applied on the ground state [g> and getting the same result as in the image below?
i need to show the explicit calculation..

 

CiracZoller.gif

taken from - from Cirac & Zoller, Quantum Computations with Cold Trapped Ions


Thanks!!

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