English(EN) Harmonic analysis and circuit approximation of Sobolev functions on quantum input spaces

新方法近似量子输入空间上的Sobolev函数

作者 PulseAugur 编辑部 · [1 个来源] · 2026-10-12 04:00

研究人员开发了一种在量子输入空间（代表量子态和操作）上近似Sobolev函数的方法。通过在紧群和齐性空间上应用谐波分析，他们利用不可约表示和Laplace-Beltrami算子对Peter-Weyl分解和Sobolev空间进行了刻画。该方法结合了谱截断和有限深度量子电路近似，并利用Solovay-Kitaev定理量化误差。 AI

影响这项研究可能推动量子电路设计和优化的理论基础。

排序理由这是一篇研究论文，详细介绍了一种用于近似量子计算背景下函数的新的数学方法。[lever_c_demoted from research: ic=1 ai=0.7]

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arXiv cs.LG TIER_1 English(EN) · Philipp Schmocker · 2026-10-12 04:00

Sobolev函数在量子输入空间上的谐波分析与电路近似

arXiv:2610.13477v1 Announce Type: cross Abstract: We derive approximation rates for Sobolev functions defined on the complex unit sphere and complex projective space, representing quantum states, and on the special and projective unitary groups, representing quantum unitary opera…

本文如何被排名

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Sobolev函数在量子输入空间上的谐波分析与电路近似

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