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Laplacian pretty good fractional revival
Institution:1. Department of Mathematics and Statistics, York University, Toronto, Canada;2. Departments of Mathematics and Physics, Harvard University, Cambridge, United States;3. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, United Kingdom;4. Department of Computer Science, University of Warwick, Coventry, United Kingdom;5. Department of Mathematics, University of Toronto, Toronto, Canada
Abstract:We develop the theory of pretty good fractional revival in quantum walks on graphs using their Laplacian matrices as the Hamiltonian. We classify the paths and the double stars that have Laplacian pretty good fractional revival.
Keywords:Continuous-time quantum walk  Pretty good fractional revival  Laplacian matrix  Paths  Double stars
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