89 citations · 186 across the 12 of their papers we have counts for
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quant-ph2006★ 11 cited
Quantum Optical Random Walk: Quantization Rules and Quantum Simulation of Asymptotics
Demosthenes Ellinas, Ioannis Smyrnakis
Rules for quantizing the walker+coin parts of a classical random walk are provided by treating them as interacting quantum systems. A quantum optical random walk (QORW), is introdu…
quant-ph2006★ 60 cited
Free Dirac evolution as a quantum random walk
A. J. Bracken, D. Ellinas, I. Smyrnakis
Any positive-energy state of a free Dirac particle that is initially highly-localized, evolves in time by spreading at speeds close to the speed of light. This general phenomenon i…