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Proceedings Paper

Quantum system decomposition for the semi-classical quantum Fourier transform
Author(s): Ben Greco; Jack Lenahan; Suzanne Huerth; Jan Medlock; Lucas A. Overbey
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Paper Abstract

For classical simulation, the quantum Fourier transform (QFT) requires very large matrix operations. Previous work has shown that the semi-classical quantum Fourier transform (SCQFT) can use these individual coefficients to perform the QFT using only single-quantum bit (qubit) unitary gates and measurement operators. However, the SCQFT requires these individual decomposed qubits of the quantum system as input to the algorithm. We devise two methods to find separable approximations of quantum systems to serve as inputs to the SCQFT. We introduce an application of the approach on classical radio frequency signals represented through a quantum model. The resulting decomposition and QFT are computed on several simulated results, and an example is given using an experimental signal.

Paper Details

Date Published: 8 May 2012
PDF: 15 pages
Proc. SPIE 8400, Quantum Information and Computation X, 84000O (8 May 2012); doi: 10.1117/12.918425
Show Author Affiliations
Ben Greco, Clemson Univ. (United States)
Jack Lenahan, Imagine One Corp. (United States)
Suzanne Huerth, Space and Naval Warfare Systems Ctr. Atlantic (United States)
Jan Medlock, Oregon State Univ. (United States)
Lucas A. Overbey, Space and Naval Warfare Systems Ctr. Atlantic (United States)

Published in SPIE Proceedings Vol. 8400:
Quantum Information and Computation X
Eric Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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