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$\begingroup$ Wonderful, Thanks! This explains most of my question. Still not clear why for cases where $\phi - y_0/N \ne 0$, the coefficient would be 0? $\endgroup$

rhundt
– rhundt

2024-09-22 03:25:12 +00:00
Commented Sep 22, 2024 at 3:25
$\begingroup$ Hint: Quantum states have a unit norm. If one of the coefficients is 1, what does it leave for the rest of coefficients? $\endgroup$

MonteNero
– MonteNero

2024-09-22 03:35:05 +00:00
Commented Sep 22, 2024 at 3:35
$\begingroup$ MonteNero - you rock ;-) (Thanks) $\endgroup$

rhundt
– rhundt

2024-09-22 03:51:03 +00:00
Commented Sep 22, 2024 at 3:51
$\begingroup$ @rhundt, I've added something extra if you are after a more rigorous argument. $\endgroup$

MonteNero
– MonteNero

2024-09-22 04:19:03 +00:00
Commented Sep 22, 2024 at 4:19

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