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Quantum Error Correction Fault Tolerance

Twirling and Hamiltonian Engineering via Dynamical Decoupling for GKP Quantum Computing

arXiv
Authors: Jonathan Conrad

Year

2020

Paper ID

19640

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

Abstract

I introduce an energy constrained approximate twirling operation that can be used to diagonalize effective logical channels in GKP quantum error correction, project states into the GKP code space and construct a dynamical decoupling sequence with fast displacements pulses to distill the GKP stabilizer Hamiltonians from a suitable substrate-Hamiltonian. The latter is given by an LC-oscillator comprising a superinductance in parallel to a Josephson Junction. This platform in principle allows for protected GKP quantum computing without explicit stabilizer measurements or state-reset by dynamically generating a `passively' stabilized GKP qubit.

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  • I introduce an energy constrained approximate twirling operation that can be used to diagonalize effective logical channels in GKP quantum error correction, project states into...

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