Analytical two-pulse control of universal single-qubit gates in rotational ultracold NaCs molecules
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917461183430656 |
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| author | Chen, Qi Luo, Hao-Xuan Guo, Jin-Kang Hong, Qian-Qian Fan, Li-Bao Shu, Chuan-Cun |
| author_facet | Chen, Qi Luo, Hao-Xuan Guo, Jin-Kang Hong, Qian-Qian Fan, Li-Bao Shu, Chuan-Cun |
| contents | Complex control protocols and sensitivity to experimental imperfections have limited the practical implementation of quantum gate operations. Here, we present an analytical framework for universal single-qubit gates using rotational states of ultracold NaCs molecules. By encoding qubits in the lowest rotational energy levels, we employ a first-order Magnus expansion to derive closed-form unitary evolution from an optimized two-pulse sequence. This approach establishes precise amplitude and phase conditions for arbitrary single-qubit rotations, achieving gate fidelities above 0.9999 in numerical simulations. We further demonstrate that complex multi-gate sequences, including phase-locked operations, can be executed with minimal population leakage into auxiliary states. The time-dependent molecular orientation is shown to faithfully encode both the gate truth table and coherence dynamics, enabling practical gate tomography via weak-field polarization detection. Our analytical method is also applicable to other molecules and physical platforms, offering a potential path to high-fidelity, scalable molecular quantum processors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03461 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytical two-pulse control of universal single-qubit gates in rotational ultracold NaCs molecules Chen, Qi Luo, Hao-Xuan Guo, Jin-Kang Hong, Qian-Qian Fan, Li-Bao Shu, Chuan-Cun Quantum Physics Complex control protocols and sensitivity to experimental imperfections have limited the practical implementation of quantum gate operations. Here, we present an analytical framework for universal single-qubit gates using rotational states of ultracold NaCs molecules. By encoding qubits in the lowest rotational energy levels, we employ a first-order Magnus expansion to derive closed-form unitary evolution from an optimized two-pulse sequence. This approach establishes precise amplitude and phase conditions for arbitrary single-qubit rotations, achieving gate fidelities above 0.9999 in numerical simulations. We further demonstrate that complex multi-gate sequences, including phase-locked operations, can be executed with minimal population leakage into auxiliary states. The time-dependent molecular orientation is shown to faithfully encode both the gate truth table and coherence dynamics, enabling practical gate tomography via weak-field polarization detection. Our analytical method is also applicable to other molecules and physical platforms, offering a potential path to high-fidelity, scalable molecular quantum processors. |
| title | Analytical two-pulse control of universal single-qubit gates in rotational ultracold NaCs molecules |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.03461 |