.png){kind=icon}
返回
Multilevel 2-D Quantum Wavelet Transforms
.png){kind=icon}
PRE
AI
DOI：10.1109/TCYB.2021.3049509.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Wavelet transform is being widely used in classical image processing. One-dimension quantum wavelet transforms (QWTs) have been proposed. Generalizations of the 1-D QWT into multilevel and multidimension have been investigated but restricted to the quantum wavelet packet transform (QWPTs), which is the direct product of 1-D QWPTs, and there is no transform between the packets in different dimensions. A 2-D QWT is vital for image processing. We construct the multilevel 2-D QWT's general theory. Explicitly, we built multilevel 2-D Haar QWT and the multilevel Daubechies D4 QWT, respectively. We have given the complete quantum circuits for these wavelet transforms, using both noniterative and iterative methods. Compared to the 1-D QWT and wavelet packet transform, the multilevel 2-D QWT involves the entanglement between components in different degrees. Complexity analysis reveals that the proposed transforms offer exponential speedup over their classical counterparts. Also, the proposed wavelet transforms are used to realize quantum image compression. Simulation results demonstrate that the proposed wavelet transforms are significant and obtain the same results as their classical counterparts with an exponential speedup.
Keyword:
Transforms
Wavelet transforms
Logic gates
Tensors
Image processing
Wavelet packets
Image color analysis
Multilevel 2-D-Daubechies quantum wavelet transform (QWT)
multilevel 2-D-Haar QWT
quantum image processing
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
10.5
论文数:
1.1W
被引数:
5.0W
机构
引用论文
分享收藏分享收藏Evidence that changes in LH pulse frequency may regulate the seasonal modulation of LH secretion in ovariectomized mares.png)
Reproduction
OAAI
ReproductionIF0
OAAI分享收藏Suppressive effect of dynorphin-(1–13) on luteinizing hormone release in conscious castrated rats
PREAI
分享收藏
查看更多内容