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Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States.

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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… Click to show full 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.

Keywords: finite energy; kitaev preskill; gottesman kitaev; stabilization finite

Journal Title: Physical review letters
Year Published: 2020

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