A quantum lower bound for the collision problem
Theory of Computing(2003)
摘要
We extend Shi's 2002 quantum lower bound for collision in $r$-to-one
functions with $n$ inputs. Shi's bound of $\Omega((n/r)^{1/3})$ is tight, but
his proof applies only in the case where the range has size at least $3n/2$. We
give a modified version of Shi's argument which removes this restriction.
更多查看译文
关键词
lower bound
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要