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Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States

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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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quant-ph 1

years

2026 1

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CONDITIONAL 1

representative citing papers

Stroboscopic Stabilization of Cat Qubits

quant-ph · 2026-07-09 · conditional · novelty 6.5

Stroboscopic small-Big-small sequences with an auxiliary qubit stabilize cat and squeezed-cat manifolds, preserve bit-flip bias, and partially correct single-photon loss without reservoir engineering.

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  • Stroboscopic Stabilization of Cat Qubits quant-ph · 2026-07-09 · conditional · none · ref 31 · internal anchor

    Stroboscopic small-Big-small sequences with an auxiliary qubit stabilize cat and squeezed-cat manifolds, preserve bit-flip bias, and partially correct single-photon loss without reservoir engineering.