How Often Must We Apply Syndrome Measurements?

By Yaakov Weinstein, Ph.D.

Quantum fault tolerance typically assumes syndrome measurements are applied after gates at great expense in time and number of qubits. We demonstrate this is unnecessary, and we may achieve greater accuracy when applying syndrome measurements less often.

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Quantum error correction requires encoding quantuminformation into a quantum error correction code andmeasuring error syndromes to detect and identify possible errors. Quantum fault tolerance typically assumes that syndrome measurements are applied after every logical gate at great expense both in time and number of qubits. Here we demonstrate that not only is this not necessary, but that we may achieve greater accuracy when applying syndrome measurements less often. Our simulations are performed within the [[7,1,3]] quantum error correction code but may be applicable to a broad range of codes.​