Measuring graph similarity through continuous-time quantum walks and the quantum Jensen-Shannon divergence
- Submitting institution
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University of York
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 54874387
- Type
- D - Journal article
- DOI
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10.1103/PhysRevE.91.022815
- Title of journal
- Physical Review E
- Article number
- 022815
- First page
- -
- Volume
- 91
- Issue
- 2
- ISSN
- 1539-3755
- Open access status
- Out of scope for open access requirements
- Month of publication
- February
- Year of publication
- 2015
- URL
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- Supplementary information
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- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
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2
- Research group(s)
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-
- Citation count
- 20
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- This paper formed basis of Edwin Hancock's acceptance lecture for the IAPR Pierre Devijver Awards at S+SSPR 2018.
It is the first use of quantum Jensen-Shannon divergence to measure interferences of suitably initialised continuous time quantum walks to locate node correspondences in inexact graph-matching without causing wave function collapse. Shows formally that the divergence between the evolution of two suitably initialized quantum walks is maximum when the original pair of graphs is isomorphic.
- Author contribution statement
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- Non-English
- No
- English abstract
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