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2 - Two Reflections

Published online by Cambridge University Press:  23 December 2022

Chris Godsil  and
Hanmeng Zhan
Chris Godsil
Affiliation:
University of Waterloo, Ontario
Hanmeng Zhan
Affiliation:
Simon Fraser University, British Columbia
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Summary

To analyse a discrete walk we need to compute the eigenvalues and eigenvectors of unitary matrix. The matrices that arise in practice are products of two reflections. We develop machinery that takes advantage of this structure to complete the specrtal information we need.

Keywords

reflectionseigenvaluesspectral decomposition
Type
Chapter
Information
Discrete Quantum Walks on Graphs and Digraphs , pp. 11 - 19
Publisher: Cambridge University Press
Print publication year: 2023

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  • Two Reflections
  • Chris Godsil, University of Waterloo, Ontario, Hanmeng Zhan, Simon Fraser University, British Columbia
  • Book: Discrete Quantum Walks on Graphs and Digraphs
  • Online publication: 23 December 2022
  • Chapter DOI: https://doi.org/10.1017/9781009261692.003
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  • Two Reflections
  • Chris Godsil, University of Waterloo, Ontario, Hanmeng Zhan, Simon Fraser University, British Columbia
  • Book: Discrete Quantum Walks on Graphs and Digraphs
  • Online publication: 23 December 2022
  • Chapter DOI: https://doi.org/10.1017/9781009261692.003
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Two Reflections
  • Chris Godsil, University of Waterloo, Ontario, Hanmeng Zhan, Simon Fraser University, British Columbia
  • Book: Discrete Quantum Walks on Graphs and Digraphs
  • Online publication: 23 December 2022
  • Chapter DOI: https://doi.org/10.1017/9781009261692.003
Available formats
×