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Paper 1

Twirling and Hamiltonian Engineering via Dynamical Decoupling for GKP Quantum Computing

Jonathan Conrad

Year
2020
Journal
arXiv preprint
DOI
arXiv:2010.13853
arXiv
2010.13853

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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Paper 2

Clustered error correction of codeword-stabilized quantum codes.

Li Y, Dumer I, Pryadko LP.

Year
2010
Journal
Phys Rev Lett
DOI
10.1103/physrevlett.104.190501
arXiv
-

No abstract.

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