| _version_ | 1866901816069849088 |
|---|---|
| author | McFarlane - Blake, Cinque |
| author_facet | McFarlane - Blake, Cinque |
| contents | <p>We introduce a globally driven scheme to realize and stabilize logical qubits in two-dimensional Rydberg-atom arrays using a \emph{purely geometric spiral phase} imprinted on the global drive. In mean-field and small-scale exact simulations the spiral-phase drive produces an extensive-distance, passively stabilized Floquet manifold that supports a logical encoding whose logical-$X$ symmetry is implemented via a single global $\pi$ pulse. For a 30×30 array mean-field evolution integrated with high-order time-stepping shows wavefunction fidelity $>0.9996$ after 50 periods and $>0.995$ after thousands of cycles for optimized parameters. A cross-check using exact state-vector evolution on small lattices and a noisy emulator demonstrates the logical symmetry persists beyond the mean-field limit. The protocol requires only (i) a global Rydberg dressing / drive and (ii) a weak static gradient, removing the need for individual addressing, mid-circuit measurement, or cryogenics.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17742007 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Floquet-Stabilized Logical Qubits in a Globally Driven Rydberg Atom 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>We introduce a globally driven scheme to realize and stabilize logical qubits in two-dimensional Rydberg-atom arrays using a \emph{purely geometric spiral phase} imprinted on the global drive. In mean-field and small-scale exact simulations the spiral-phase drive produces an extensive-distance, passively stabilized Floquet manifold that supports a logical encoding whose logical-$X$ symmetry is implemented via a single global $\pi$ pulse. For a 30×30 array mean-field evolution integrated with high-order time-stepping shows wavefunction fidelity $>0.9996$ after 50 periods and $>0.995$ after thousands of cycles for optimized parameters. A cross-check using exact state-vector evolution on small lattices and a noisy emulator demonstrates the logical symmetry persists beyond the mean-field limit. The protocol requires only (i) a global Rydberg dressing / drive and (ii) a weak static gradient, removing the need for individual addressing, mid-circuit measurement, or cryogenics.</p> |
| title | Floquet-Stabilized Logical Qubits in a Globally Driven Rydberg Atom 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.17742007 |