摘要
Grover提出的量子算法,在2n个元素的无序数据库中搜索到m个目标解,其搜索时间复杂度为O(2~(1/2)n/m)。但是当目标解m>N/4时,搜索的成功概率迅速下降,且当m=N/2时,算法失效。提出了一种改进算法,当m>N/4时,仅用一次搜索就能以不低于98.01%的成功概率搜索到目标解。
The algorithm proposed by Grover solves the unsorted database search problem with computation complexity of O(√2^n/m),where the size of database is N = 2^n and there is m target solutions. However, the successful probability of searching decreases rapidly, when the target solutions m is greater than N/d, And the algorithm is disabled when m is equal to N/2. This paper presents an improved Groverg algorithm, which can find the object with the successful probability at least 98.01% with one step when m is greater than N/4.
出处
《南京邮电大学学报(自然科学版)》
2011年第2期27-30,共4页
Journal of Nanjing University of Posts and Telecommunications:Natural Science Edition
基金
教育部博士点基金(BJ206006)资助项目