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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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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. -
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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