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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク BHT algorithm ： ウィキペディア英語版 BHT algorithm The BHT algorithm is a quantum algorithm that solves the collision problem. In this problem, one is given ''n'' and an ''r''-to-1 function $f:\backslash ,\backslash \backslash rightarrow\backslash$ and needs to find two inputs that ''f'' maps to the same output. The BHT algorithm only makes $O(n^)$ queries to ''f'', which matches the lower bound of $\backslash Omega(n^)$ in the black box model.〔 〕〔 〕 The algorithm was discovered by Brassard, Hoyer, and Tapp in 1997. It uses Grover's algorithm, which was discovered in the previous year. ==Algorithm== Intuitively, the algorithm combines the square root speedup from the birthday paradox using (classical) randomness with the square root speedup from Grover's (quantum) algorithm. First, ''n''1/3 inputs to ''f'' are selected at random and ''f'' and is queried at all of them. If there is a collision among these inputs, then we return the colliding pair of inputs. Otherwise, all the these inputs map to distinct values by ''f''. Then Grover's algorithm is used to find a new input to ''f'' that collides. Since there are only ''n''2/3 such inputs to ''f'', Grover's algorithm can find one (if it exists) by making only $O(\backslash sqrt)$ queries to ''f''. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「BHT algorithm」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.