H-VEC converts any classical repetition code into a quantum error-correcting protocol by adding one qubit and post-processing to project noise onto correctable Y-errors, yielding exponential suppression under code-capacity noise and quadratic qubit savings in fault-tolerant lattice surgery.
Magic state cultivation: growing T states as cheap as CNOT gates, 2024
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Correcting quantum errors using a classical code and one additional qubit
H-VEC converts any classical repetition code into a quantum error-correcting protocol by adding one qubit and post-processing to project noise onto correctable Y-errors, yielding exponential suppression under code-capacity noise and quadratic qubit savings in fault-tolerant lattice surgery.