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将量子退火错误交换到腔中

Swapping Quantum Annealing Errors into a Cavity

Hao Zhang

arXiv 2609.33975首次发表:更新:

发表机构

University of Wisconsin–Madison(威斯康星大学麦迪逊分校)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

提出腔量子退火,将退火错误交换为光子,缩短退火时间至平方根量级,并通过光子计数验证高保真结果。

AI 中文摘要

量子退火是一种有前景的量子计算形式,但在退火过程中,由于小能隙 $\Delta$ 的存在,其速度会减慢,且在此过程中产生的错误未被检测到。我们引入了腔量子退火,其中频率为 $O(1)\gg\Delta$ 的腔模,在调度中期耦合,将这些错误交换为光子。在 $p$-自旋模型中,这使退火时间缩短至无腔时所需时间的平方根左右。此外,光子计数可验证结果:高光子运行,产率为 $O(1)$,达到基态保真度高于 $99.99\\%$ 的速度快数个数量级,且这一增益随系统规模呈指数增长。预先加载的光子则反向运行交换,制备激发态。更广泛地,我们的工作表明,腔可以增强使用量子比特进行的计算,为通过量子退火实现高保真量子态制备铺平了道路。

英文摘要

Quantum annealing is a promising form of quantum computation, but it slows down at a small energy gap $Δ$ during the anneal, and the errors it makes there remain undetected. We introduce cavity quantum annealing, in which a cavity mode of frequency $O(1)\ggΔ$, coupled mid-schedule, swaps these errors into photons. In the $p$-spin model, this reduces the annealing time to nearly the square root of that required without the cavity. Moreover, counting the photons certifies the result: high-photon runs, with an $O(1)$ yield, reach a ground-state fidelity above $99.99\%$ orders of magnitude sooner, a gain that grows exponentially with system size. A pre-loaded photon instead runs the swap in reverse, preparing an excited state. More broadly, our work shows that cavities can enhance computations performed with qubits, paving the way toward high-fidelity quantum state preparation by quantum annealing.

Comments10 pages, 6 figures

论文原文

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