22 citations · 78 across the 23 of their papers we have counts for
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quant-ph2019★ 4 cited
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…
quant-ph2019
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…
quant-ph2019
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…