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Adaptive Quantum Circuits
James Brown
QBraid
Decreasing the rate of undetectable errors in the generalized superfast encoding with Clifford noise reduction
Abstract
The Generalized Superfast Encoding (GSE) is a fermion-to-qubit mapping that can have error detecting/correction properties. However, the ability to harness these properties effectively is hampered by a lack of fault-tolerant circuitry. It has been shown recently that Trotter circuits (within an error correcting code) can be fault-tolerant but the problem remains of how to implement the necessary CNOT ladders without destroying fault-tolerance. To partially address this problem, we utilize Clifford noise reduction (CliNR) to prepare and teleport the CNOT ladders and show that the rate of undetectable errors is lowered.
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