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 displacements pulses to distil 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. I find that moderate resources are sufficient to engineer a GKP Hamiltonian without explicit dissipation or qubit-reset. The ideas and techniques developed in this paper are transferable to general quantum systems and provide a novel perspective on (Floquet-) Hamiltonian engineering.

GKP Error Correction: Finite energy twirling and Hamiltonian engineering via dynamical decoupling

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The Institute of Physics and IOP Publishing, in partnership with the Chinese Physical Society (CPS) and the University of Science and Technology of China (USTC) are proud to have brought together the international quantum science community online for this inaugural conference.

Early career and leading researchers from universities, industry and government worldwide came together to share, learn and collaborate on the latest research and emerging areas of high interest across quantum science and technology. 

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GKP Error Correction: Finite energy twirling and Hamiltonian engineering via dynamical decoupling

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