22 citations · 78 across the 23 of their papers we have counts for
5 papers · 1 filter
Continuum Limits of the 1D Discrete Time Quantum Walk
Michael Manighalam, Mark Kon
The discrete time quantum walk (DTQW) is a universal quantum computational model. Significant relationships between discrete and corresponding continuous quantum systems have been…
Coupled VAE: Improved Accuracy and Robustness of a Variational Autoencoder
Shichen Cao, Jingjing Li, Kenric P. Nelson +1
We present a coupled Variational Auto-Encoder (VAE) method that improves the accuracy and robustness of the probabilistic inferences on represented data. The new method models the…
Analytic regularity and stochastic collocation of high dimensional Newton iterates
Julio Enrique Castrillon-Candas, Mark Kon
In this paper we introduce concepts from uncertainty quantification (UQ) and numerical analysis for the efficient evaluation of stochastic high dimensional Newton iterates. In part…
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…