= Five-qubit error correcting code
{title2=$[[5,1,3]]$}
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= Five-qubit code
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The <five-qubit code> encodes one logical <qubit> into five physical <qubits> and corrects an arbitrary error on one physical <qubit>. In a nondegenerate realization, the identity and fifteen one-qubit <Pauli operators> take the two-dimensional code into sixteen mutually orthogonal syndrome subspaces, filling the 32-dimensional physical <Hilbert space>.
// Target: quantum-error-correction.bigb
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