paper

On the Ambainis-Bach-Nayak-Vishwanath-Watrous Conjecture

arXiv:1008.0052

Abstract

We show the flaw in a theorem of Konno, Namiki, Soshi, and Sudbury in [3] and provide the necessary correction in the case of the Finite Hadamard walk and use it to show that a conjecture of Ambainis, Bach, Nayak, Vishwanath, and Watrous in [1] is false.

9 Pages, Accepted to appear in the Far East Journal of Applied Mathematics