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)
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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![A quantum gate U performs the following mapping on the Z-basis (standard/computational
basis) states:
(a)
(b)
BE
2√3
Joy
2√3
1).
2√3
2√3
Find the matrix representation of U in Z-basis and show that U is a valid quantum gate.
Evaluate HUH|0).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd59e17ff-7a7c-4167-8c0b-fb870a3da76d%2F3c5fca7c-5052-41c1-9dd0-1fd23b2cd8dc%2Fc3jihwg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A quantum gate U performs the following mapping on the Z-basis (standard/computational
basis) states:
(a)
(b)
BE
2√3
Joy
2√3
1).
2√3
2√3
Find the matrix representation of U in Z-basis and show that U is a valid quantum gate.
Evaluate HUH|0).
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