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Topics
Topological Quantum Computing
Quantum Simulation
Quantum State Preparation Representation
Quantum Walks on Regular Graphs and Eigenvalues
arXiv
Authors: Chris Godsil, Krystal Guo
Year
2010
Paper ID
28855
Status
Preprint
Abstract Read
~2 min
Abstract Words
58
Citations
N/A
Abstract
We study the transition matrix of a quantum walk on strongly regular graphs. It is proposed by Emms, Hancock, Severini and Wilson in 2006, that the spectrum of S^+\(U3\), a matrix based on the amplitudes of walks in the quantum walk, distinguishes strongly regular graphs. We find the eigenvalues of S^+(U) and S^+\(U2\) for regular graphs.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2010 reference point for readers tracking recent quantum research.
- We study the transition matrix of a quantum walk on strongly regular graphs.
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