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Abstract: this paper, we construct quantum algorithms for Haar wavelet transforms and show its application in analyzing the multi-scale structure of the dynamical system by the Logistic Map (x # #x(1 - x)), where # takes value in the interval [0, 4). 1 Introduction Information is stored, transmitted and processed by physical means 1 . Thus, the concept of information and computation can be formulated in the context of a physical theory and the study of information requires experimentation. This... (Update)
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BibTeX entry: (Update)
@misc{ gosal-quantum,
author = "Darwin Gosal and Wayne Lawton",
title = "Quantum Haar Wavelet Transforms and Their Applications",
url = "citeseer.ist.psu.edu/gosal01quantum.html" }
Citations (may not include all citations):401 An Introduction to Wavelets (context) - Chui - 1992 ACM
242 Wellesley-Cambridge Press (context) - Strang, Nguyen et al. - 1996
167 Quantum computation and quantum information (context) - Nielsen, Chuang - 2000 ACM
87 Introduction to Wavelets and Wavelet Transforms: A Primer (context) - Burrus, Gopinath et al. - 1998
19 Mathematical Foundations of Quantum Mechanics (context) - von Neumann - 1983
19 Quantum computing (context) - Gruska - 1999 ACM DBLP
9 Quantum Algorithms and the Fourier Transform - Jozsa
3 Basic Concepts in Quantum Computation - Ekert, Hayden et al.
3 An introduction to quantum computing algorithms (context) - Pittenger - 2000
3 Introduction to quantum computers (context) - Berman - 1998
3 Lectures on quantum theory : mathematical and structural fou.. (context) - Isham - 1995
2 Wavelets and Wavelet Packets on Quantum Computers - Klappenecker
1 Wavelets and Their Use (context) - Dremin, Ivanov et al.
1 A talk at the NSF Workshop on Quantum Information Science (context) - Preskill, of et al. - 1999
1 Quantum Computation and Quantum Information Theory (context) - Macchiavello, Palma et al. - 2000
1 Bibliographic guide to the foundations of quantum mechanics .. (context) - Cabello
1 The physics of quantum information : quantum cryptography (context) - Bouwmeester, Ekert et al. - 2000
1 Quantum Wavelet Transforms: Fast Algorithms and Complete Cir.. (context) - Fijany, Williams DBLP
1 Wavelet Toolware: Software for Wavelet Training (context) - Chan, Liu - 1998
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