Wavelets with great filter length, also known as high-order wavelets, exhibit favorable properties and superior performance in classical signal processing. We study the performance of great-length wavelets in the quantum computation of a dynamical model. Numerical results indicate that certain classical properties of wavelets can significantly improve their quantum localization capability. In particular, smooth wavelets have a quantum localization capability up to 10 times stronger than non-smooth ones, as measured by the Inverse Participation Ratio (IPR).

中文翻译：

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量子计算平台上的大长小波：应用和快速逼近

具有大滤波器长度的小波，也称为高阶小波，在经典信号处理中表现出良好的特性和优越的性能。我们研究了长小波在动力学模型的量子计算中的性能。数值结果表明，小波的某些经典性质可以显着提高其量子定位能力。特别是，根据逆参与比 (IPR) 测量，平滑小波的量子定位能力比非平滑小波强 10 倍。