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quant-ph2004
Convergence of coined quantum walks on d-dimensional Euclidean space
Alex D. Gottlieb, Svante Janson, Petra F. Scudo
Coined quantum walks may be interpreted as the motion in position space of a quantum particle with a spin degree of freedom; the dynamics are determined by iterating a unitary tran…
quant-ph2003
Two examples of discrete-time quantum walks taking continuous steps
Alex D. Gottlieb
This note introduces some examples of quantum random walks in d-dimensional Eucilidean space and proves the weak convergence of their rescaled n-step densities. One of the examples…
quant-ph2001
Classical and Quantum Propagation of Chaos
Alex D Gottlieb
This article examines the relationship between classical and quantum propagation of chaos. (In this context, "chaos" refers to the Boltzmann's Ansatz of molecular disorder, not to…