A Polynomial-Time Quantum Algorithm for Collision Problem
Abstract
Description
In this paper, we give a quantum algorithm which solves collision problem in an expected polynomial time. Especially, when the function is two-to-one, we present a quantum algorithm which can find a collision with certainty in a worst-case polynomial time. We also give a quantum algorithm which solves claw problem with certainty in a worst-case polynomial time.
This paper was withdrawn because of gaps in this paper
This paper was withdrawn because of gaps in this paper