4 papers
Spectral Perturbations of the Line Graph Laplacian
Ian M. T. Rooney, Parker S. Kuklinski, David A. Hague
The graph Laplacian is an important tool in Graph Signal Processing (GSP) as its eigenvalue decomposition acts as an analogue to the Fourier transform and is known as the Graph Fou…
Conditional Probability Distributions of Finite Absorbing Quantum Walks
Parker Kuklinski
Quantum walks are known to have nontrivial interactions with absorbing boundaries. In particular it has been shown that an absorbing boundary in the one dimensional quantum walk pa…
Absorption Probabilities of Quantum Walks
Parker Kuklinski, Mark Kon
Quantum walks are known to have nontrivial interaction with absorbing boundaries. In particular, Ambainis et.\ al.\ \cite{ambainis01} showed that in the quantum walk…
Bifurcation Curves of Two-Dimensional Quantum Walks
Parker Kuklinski, Mark Kon
The quantum walk differs fundamentally from the classical random walk in a number of ways, including its linear spreading and initial condition dependent asymmetries. Using station…