Coherent optical implementations of the fast Fourier transform and their comparison to the optical implementation of the quantum Fourier transform

Young, Rupert C D, Birch, Philip M and Chatwin, Chris R (2013) Coherent optical implementations of the fast Fourier transform and their comparison to the optical implementation of the quantum Fourier transform. In: SPIE Defense, Security and Sensing, 29th April to 3rd May 2013, Baltimore, USA.

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Abstract

Optical structures to implement the discrete Fourier transform (DFT) and fast Fourier transform (FFT) algorithms for discretely sampled data sets are considered. In particular, the decomposition of the FFT algorithm into the basic Butterfly operations is described, as this allows the algorithm to be fully implemented by the successive coherent addition and subtraction of two wavefronts (the subtraction being performed after one has been appropriately phase shifted), so facilitating a simple and robust hardware implementation based on waveguided hybrid devices as employed in coherent optical detection modules. Further, a comparison is made to the optical structures proposed for the optical implementation of the quantum Fourier transform and they are shown to be very similar.

Item Type: Conference or Workshop Item (Lecture)
Keywords: coherent optical Fourier transform, quantum Fourier transform, discrete optical Fourier transform, fast Fourier transform
Schools and Departments: School of Engineering and Informatics > Engineering and Design
Subjects: Q Science
T Technology
Depositing User: Chris Chatwin
Date Deposited: 14 Jul 2015 15:11
Last Modified: 14 Jul 2015 15:11
URI: http://sro.sussex.ac.uk/id/eprint/55347

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