Virtual Library: papers and reprints we have used as references

Extends results from Brady's MA thesis, obtaining rigorous connections between limit shapes for 2-D QRW and images of the Gauss map

A complete mathematical analysis of nearest-neighbor 1-D QRW's with arbitrary coin-flip matrix

Contains mathematical results on the 2-D Hadamard QRW and partial results on nearest neighbor 2-D QRW's with other coin-flip matrices

First rigorous analysis of of 1-D QRW of which we are aware -- also analyses QRW with barriers at one or both ends

Best analysis of QRW in one dimension -- proves results by several routes

Survey of quantum random walks circa 2005, with applications to quantum information theory

Introduces scattering theory for QRW on a finite regular graph