Answers are grounded in this paper and cite their sources.
By pursuing the deep relation between the one-dimensional Dirac equation and quantum walks, the physical role of quantum interference in the latter is explained. It is shown that the time evolution of the probability density of a quantum walker, initially localized on a lattice, is directly analogous to relativistic wave-packet spreading. Analytic wave-packet solutions reveal a striking connection between the discrete and continuous-time quantum walks.
No takes yet. Share an insight, caveat, or question.
Frederick W. Strauch (2006) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: