Let U be a two-qubit unitary, which acts as follows: U 100) = √1/22 100) + √(11), U|10) -√√2-√²110). 100) + (√2 - 11/12) √√/2) (11) + == √2 b. Show that the states U |00) and U |10) are both normalised, and are orthogonal to each other. -
Let U be a two-qubit unitary, which acts as follows: U 100) = √1/22 100) + √(11), U|10) -√√2-√²110). 100) + (√2 - 11/12) √√/2) (11) + == √2 b. Show that the states U |00) and U |10) are both normalised, and are orthogonal to each other. -
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Transcribed Image Text:Let U be a two-qubit unitary, which acts as follows:
U |00)
=
|00) +
|11),
√2
*2
U|10)
-√/₁-4/2
100) + (√₂ − √2)(11) + √2 − √² (10).
b. Show that the states U |00) and U |10) are both normalised, and are orthogonal to
each other.
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