22 citations · 78 across the 23 of their papers we have counts for
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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…
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…
Real-time simulation of dissipation-driven quantum systems
Debasish Banerjee, Florian Hebenstreit, Fu-Jiun Jiang +2
We set up a real-time path integral to study the evolution of quantum systems driven in real-time completely by the coupling of the system to the environment. For specifically chos…