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Fidelity at different time


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I found a fidelity between initial and final state (pure).

Now when t=0 , I am getting F=1 

When t=pi/2(90 degree) i am getting F= (4.5)(10^-5)
But my teacher says this is wrong and I should get F=1. 

Why should I get 1 and Why am I not getting 1? What's wrong with my calculation? Here alpha is the coherent state and its value is sqrt 5

Adobe Scan 31-Aug-2021 (2).pdf

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