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

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posted on 2023-06-08, 21:38 authored by Rupert YoungRupert Young, Phil BirchPhil Birch, Chris ChatwinChris Chatwin
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.

History

Publication status

  • Published

File Version

  • Published version

Page range

874806

Presentation Type

  • paper

Event name

SPIE Defense, Security and Sensing

Event location

Baltimore, USA

Event type

conference

Event date

29th April to 3rd May 2013

Department affiliated with

  • Engineering and Design Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2015-07-14

First Open Access (FOA) Date

2015-07-14

First Compliant Deposit (FCD) Date

2015-07-14

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