论文标题

余弦系列量子抽样方法,并在信号和图像处理中应用

Cosine series quantum sampling method with applications in signal and image processing

论文作者

Wereszczyński, Kamil, Michalczuk, Agnieszka, Pęszor, Damian, Paszkuta, Marcin, Cyran, Krzysztof, Polański, Andrzej

论文摘要

描述了一个新型的余弦系列量子采样(QCOSAMP)运算符,适用于量子计算。量子算法的发展,类似于经典算法,我们适用于信号的谐波分析。我们通过测量量子系统显示量子采样,并在使用家族的操作员之后,允许使用傅立叶级数表示的输入信号映射。采用的技术方法,促进了每种QCOSAMP算法的实施到量子计算机,并应用于我们还描述的信号和图像处理领域。 关键字:量子计算,量子信息理论,量子运算符,量子采样,傅立叶正弦 - cosine系列,信号处理,图像处理

A novel family of Cosine series Quantum Sampling (QCoSamp) operators appropriate for quantum computing is described. The development of quantum algorithms, analogous to classical algorithms, we apply to the harmonic analysis of signals. We show quantum sampling through measurements of a quantum system, and after operators of the family are applied, allow for input signal mapping with a Fourier series representation. Technical methodologies employed, facilitating the implementation of each QCoSamp algorithm to a quantum computer and application to the field of signal and image processing we also described. Keywords: quantum computing, quantum information theory, quantum operator, quantum sampling, Fourier sine-cosine series, signal processing, image processing

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