Autonomously Self-Tuning Floquet Cat Qubit via Dynamic Spiral-Phase Drive in a 900-Site Rydberg Array
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2025
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| _version_ | 1866901815786733568 |
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| author | McFarlane - Blake, Cinque |
| author_facet | McFarlane - Blake, Cinque |
| contents | <p>Large-scale mean-field simulations of a 30×30 Rydberg-dressed atom array under a \textbf{single global drive with dynamically modulated spiral phase} reveal autonomous self-organization into an extremely rigid Floquet cat state. The drive phase pattern $\theta(r,\phi,t)$ contains a weak base spiral ($\theta_{\max}{=} \pi/512$) plus quasi-periodic angular frequency modulation $\omega_{\text{ang}}(t)$ with incommensurate components at $2\pi/P_1$ and $4\pi/P_2$. Global phase coherence rises from 0.37 to $>0.999$ within $\sim$600 periods, survives a large transient excursion near period 1700, and then locks above 0.999 for the final 4507+ cycles (total simulation: 5000 periods). The final coherence distribution (period $>1000$) has mean 0.99560 and $\sigma{=}8.07{\times}10^{-3}$. The attractor consists of two degenerate periodic orbits separated by a global $\pi$ phase shift, defining a logical cat qubit. A single global $\pi$-pulse implements logical-$X$ with fidelity $>0.9999$ in the locked regime. No individual addressing, feedback electronics, or mid-circuit measurement is used — the self-tuning emerges purely from many-body Floquet dynamics.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17745332 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | Autonomously Self-Tuning Floquet Cat Qubit via Dynamic Spiral-Phase Drive in a 900-Site Rydberg Array McFarlane - Blake, Cinque Floquet time crystal Rydberg-dressed atoms global-drive quantum control passive error suppression Logical qubit mean-field Floquet simulation Neutral-atom arrays hybrid quantum - classical control <p>Large-scale mean-field simulations of a 30×30 Rydberg-dressed atom array under a \textbf{single global drive with dynamically modulated spiral phase} reveal autonomous self-organization into an extremely rigid Floquet cat state. The drive phase pattern $\theta(r,\phi,t)$ contains a weak base spiral ($\theta_{\max}{=} \pi/512$) plus quasi-periodic angular frequency modulation $\omega_{\text{ang}}(t)$ with incommensurate components at $2\pi/P_1$ and $4\pi/P_2$. Global phase coherence rises from 0.37 to $>0.999$ within $\sim$600 periods, survives a large transient excursion near period 1700, and then locks above 0.999 for the final 4507+ cycles (total simulation: 5000 periods). The final coherence distribution (period $>1000$) has mean 0.99560 and $\sigma{=}8.07{\times}10^{-3}$. The attractor consists of two degenerate periodic orbits separated by a global $\pi$ phase shift, defining a logical cat qubit. A single global $\pi$-pulse implements logical-$X$ with fidelity $>0.9999$ in the locked regime. No individual addressing, feedback electronics, or mid-circuit measurement is used — the self-tuning emerges purely from many-body Floquet dynamics.</p> |
| title | Autonomously Self-Tuning Floquet Cat Qubit via Dynamic Spiral-Phase Drive in a 900-Site Rydberg Array |
| topic | Floquet time crystal Rydberg-dressed atoms global-drive quantum control passive error suppression Logical qubit mean-field Floquet simulation Neutral-atom arrays hybrid quantum - classical control |
| url | https://doi.org/10.5281/zenodo.17745332 |