English(EN) Hamiltonian locality testing and certification do not achieve the Heisenberg limit

研究人员发现，Hamiltonian 属性测试需要显著的演化时间

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-05 04:00

研究人员为 Hamiltonian 属性测试建立了下界，证明某些任务需要显著的演化时间。具体来说，测试一个 Hamiltonian 是否为 k-局部或将其与目标 Hamiltonian 区分开需要 $\Omega(1/\varepsilon^2)$ 的总演化时间。这一发现与现有的上界相匹配，并且是首次为 Hamiltonian 学习和测试问题证明此类下界，排除了海森堡极限缩放的可能性。研究还表明，将振幅估计到 $\varepsilon$ 的精度需要 $\Omega(1/\varepsilon^2)$ 的总时间演化。 AI

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arXiv cs.LG TIER_1 English(EN) · Francisco Escudero Guti\'errez, Junseo Lee, Sebastian Zur · 2026-10-05 04:00

Hamiltonian 定域性测试与认证未达到海森堡极限

arXiv:2610.03205v1 Announce Type: cross Abstract: We establish lower bounds for Hamiltonian property testing with access to the time-evolution operator but not its inverse. Each experiment may query the time-evolution operator multiple times, and distances between Hamiltonians ar…

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Hamiltonian 定域性测试与认证未达到海森堡极限

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