What is it about?
The Wavelet transform is a fundamental tool for signal processing. Some of its applications are watermarking, cryptography, coding, denoising, and compression. Integer versions of the wavelet transform provide reduced storage capacity and computational cost. In the present work, we introduce a Quantum version of the so-called integer S-Transform.
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Why is it important?
A Quantum version of the integer S-transform is O(1) complexity, which means the computation results are obtained "in the blink of an eye". Meanwhile, the classical version of the integer S-transform is O(n^2) complexity, which means that the time to get the computation results depends on the size of the input signal. Additionally, a new representation for the processing of information is presented. This may ease future developments in the quantum information processing area.
Perspectives
Quantum computing provides a tremendous improvement in computing, The solution of tasks that may take hundreds or even thousands of years may be solved "in the blink of an eye" by quantum computing.
Julio César Pérez-Sansalvador
Instituto Nacional de Astrofísica Óptica y Electrónica
Read the Original
This page is a summary of: QIST: One-dimensional quantum integer wavelet S-transform, Information Sciences, April 2023, Elsevier,
DOI: 10.1016/j.ins.2022.12.002.
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