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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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