The surface-GKP code has a fault-tolerance threshold of 11.2 dB GKP squeezing when only GKP states are noisy, 0.81% per-component failure when GKP states are ideal, and 18.6 dB with 0.69% when both are noisy.
Realizing modular quadrature measurements via a tunable photon-pressure coupling in circuit-QED
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abstract
One of the most direct preparations of a Gottesman-Kitaev-Preskill qubit in an oscillator uses a tunable photon-pressure (also called optomechanical) coupling of the form $g \hat{q} a^{\dagger} a$, enabling to imprint the modular value of the position $\hat{q}$ of one oscillator onto the state of an ancilla oscillator. We analyze the practical feasibility of executing such modular quadrature measurements in a parametric circuit-QED realization of this coupling. We provide estimates for the expected GKP squeezing induced by the protocol and discuss the effect of photon loss and other errors on the resulting squeezing.
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quant-ph 1years
2019 1verdicts
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Fault-tolerant bosonic quantum error correction with the surface-GKP code
The surface-GKP code has a fault-tolerance threshold of 11.2 dB GKP squeezing when only GKP states are noisy, 0.81% per-component failure when GKP states are ideal, and 18.6 dB with 0.69% when both are noisy.