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基于囚禁离子处理器上自适应量子电路的格点规范理论动力学的基于测量的模拟

Measurement-based simulation of lattice gauge theory dynamics with adaptive quantum circuits on a trapped-ion processor

Hiroki Sukeno, Enrico Rinaldi, Takuya Okuda

arXiv 2608.04290首次发表:更新:

AI 中文总结

研究人员利用Quantinuum H2囚禁离子处理器,首次实验实现(2+1)维Z₂规范理论实时动力学的基于测量的量子模拟,验证该架构可在现有硬件上模拟格点场论。

AI 中文摘要

基于测量的量子模拟(MBQS)是一种新近提出的用于模拟格点规范理论的架构,它通过消耗特定模型的纠缠资源态并结合自适应的中间电路测量来实现哈密顿动力学,而非依赖基于门的电路。格点规范理论中的局域约束与资源态的高形式对称性相对应。据我们所知,本研究首次利用Quantinuum System Model H2囚禁离子处理器,实现了(2+1)维Z₂规范理论实时动力学的MBQS实验。我们在2×2和3×3空间格点上观测了规范不变可观测量的相干演化,该过程消耗了200和288个资源态量子比特的虚拟三维簇态,这些簇态是通过对56量子比特寄存器内48和54量子比特的瞬时块进行测量、重置和重新纠缠生成的。驱动演化的测量记录同时以零额外成本提供了形式为对称性的症候,使后选择能够强烈抑制观测到的高斯定律违反,并提高了与理想Trotter化动力学的整体一致性。我们的结果表明,MBQS是一种可行的、具有对称性感知的架构,可用于在当前硬件上模拟格点场论。

英文摘要

Measurement-based quantum simulation (MBQS)---a recently proposed architecture for simulating lattice gauge theories---implements Hamiltonian dynamics by consuming a model-specific entangled resource state with adaptive mid-circuit measurements, rather than by a gate-based circuit. The local constraints in lattice gauge theories are mirrored by the higher-form symmetries of the resource state. Here we report, to our knowledge, the first experimental realization of MBQS of real-time dynamics in the $(2+1)$-dimensional $\mathbb{Z}_2$ gauge theory using the Quantinuum System Model H2 trapped-ion processor. We observe coherent evolution of gauge-invariant observables on $2\times2$ and $3\times3$ spatial lattices, consuming virtual three-dimensional cluster states of 200 and 288 resource-state qubits that are generated from instantaneous blocks of 48 and 54 qubits within the 56-qubit register by measurement, reset, and re-entanglement. The measurement record that drives the evolution simultaneously provides one-form-symmetry syndromes at no additional cost, enabling postselection that strongly suppresses observed Gauss-law violations and improves aggregate agreement with ideal Trotterized dynamics. Our results demonstrate that MBQS is a viable, symmetry-aware architecture for simulating lattice field theories on present-day hardware.

Comments20 pages, 10 figures

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