Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States
Baptiste Royer, Shraddha Singh, S.M. Girvin
TL;DR
This paper presents a novel method for stabilizing finite-energy GKP states using autonomous qubit-oscillator circuits, enhancing robustness against noise without measurements.
Contribution
It introduces an exact approach to finite-energy GKP states and develops new circuits that stabilize these states autonomously, improving error correction.
Findings
Numerical simulations show high robustness of logical information in stabilized GKP states.
The proposed circuits correct errors without the need for qubit measurements.
The method enhances fault tolerance in quantum information processing.
Abstract
We introduce a new approach to Gottesman-Kitaev-Preskill (GKP) states that treats their finite-energy version in an exact manner. Based on this analysis, we develop new qubit-oscillator circuits that autonomously stabilize a GKP manifold, correcting errors without relying on qubit measurements. Finally, we show numerically that logical information encoded in GKP states is very robust against typical oscillator noise sources when stabilized by these new circuits.
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