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Quantum logic gate
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=== Identity gate === The identity gate is the [[identity matrix]], usually written as ''I'', and is defined for a single qubit as :<math> I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} ,</math> where ''I'' is basis independent and does not modify the quantum state. The identity gate is most useful when describing mathematically the result of various gate operations or when discussing multi-qubit circuits. {{Anchor|Pauli X|Not|X|X gate|Not gate}} {{Anchor|Pauli Z|Z|Z gate}}
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