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7 - Shunts

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

Aharonov et al. introduced class of quantum walks where the transition matrix is not (in general) a product of two reflections. (We call these shunt-decomposition walks.) In consequence, analysis of these walks is more difficult than the walks met with in earlier chapters. However the state space of walks is still the space of complex functions on the arcs of a graph. We give a description of these walks in graph theoretic terms, and study their behaviour.

Keywords

shunt-decomposition walksaverage mixing
Type
Chapter
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Discrete Quantum Walks on Graphs and Digraphs , pp. 98 - 120
Publisher: Cambridge University Press
Print publication year: 2023

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  • Shunts
  • 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/10.1017/9781009261692.008
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  • Shunts
  • 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/10.1017/9781009261692.008
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.

  • Shunts
  • 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/10.1017/9781009261692.008
Available formats
×