Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-13T04:46:02.406Z Has data issue: false hasContentIssue false

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
Get access

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
Information
Discrete Quantum Walks on Graphs and Digraphs , pp. 98 - 120
Publisher: Cambridge University Press
Print publication year: 2023

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • 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 Dropbox

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 Dropbox.

  • 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
×