Quantum walk on the line as an interference phenomenon
P. L. Knight, Eugenio Roldán, John E. Sipe · Physical Review A · 2003
We show that the coined quantum walk on a line can be understood as an interference phenomenon, can be classically implemented, and indeed already has been. The walk is essentially two independent walks associated with the different coin sides, coupled only at initiation. There is a simple analogy between the evolution of walker positions and the propagation of light in a dispersive optical fiber.