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=== Quantum information === In [[quantum information]], single-[[qubit]] [[quantum gate]]s are 2 Γ 2 [[unitary matrices]]. The Pauli matrices are some of the most important single-qubit operations. In that context, the Cartan decomposition given above is called the "ZβY decomposition of a single-qubit gate". Choosing a different Cartan pair gives a similar "XβY ''decomposition of a single-qubit gate'' ".
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