A quantum gate U performs the following mapping on the Z-basis (standard/computational basis) states: (a) (b) UO) (1) - - 3+2 2√3 1- (10) (0) + 1+ 2√3 3-2 1). 1) 2√3 2√3 Find the matrix representation of U in Z-basis and show that U is a valid quantum gate. Evaluate HUH0)
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