Dissertation/Thesis Abstract

Amplified quantum transforms
by Cornwell, David J., Ph.D., University of Maryland, Baltimore County, 2014, 149; 3624347
Abstract (Summary)

In this thesis we investigate two new Amplified Quantum Transforms. In particular we create and analyze the Amplified Quantum Fourier Transform (Amplified-QFT) and the Amplified-Haar Wavelet Transform. The Amplified-QFT algorithm is used to solve the Local Period Problem. We calculate the probabilities of success and compare this algorithm with the QFT and QHS algorithms. We also examine the Amplified-QFT algorithm for solving the Local Period Problem with Error Stream. We use the Amplified-Haar Wavelet Transform for solving the Local Constant or Balanced Signal Decision Problem which is a generalization of the Deutsch-Jozsa problem.

Indexing (document details)
Advisor: Lomonaco, Samuel J., Armstrong, Thomas
Commitee: Armstrong, Thomas, Gowda, Muddappa, Potra, Florian, Shih, Yanhua
School: University of Maryland, Baltimore County
Department: Mathematics, Applied
School Location: United States -- Maryland
Source: DAI-B 75/10(E), Dissertation Abstracts International
Subjects: Applied Mathematics, Mathematics, Quantum physics
Keywords: Algorithm, Amplified, Grover, lov, Quantum, Shor, peter, Transform
Publication Number: 3624347
ISBN: 9781303976162
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