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arXiv quant-ph/9706033quant-ph
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量子力学有助于大海捞针

Quantum Mechanics helps in searching for a needle in a haystack

Lov K. Grover

摘要:

量子力学可以加速一系列对未排序数据的搜索应用。例如,想象一个电话簿,其中包含N个以完全随机顺序排列的名字。要以50%的概率找到某人的电话号码,任何经典算法(无论是确定性的还是概率性的)都需要访问数据库至少O(N)次。量子力学系统可以处于叠加态,同时检查多个名称。通过适当调整各种操作的阶段,成功的计算相互加强,而其他的随机干扰。因此,只需O(sqrt(N))次访问数据库就可以获得所需的电话号码。

英文摘要:

Quantum mechanics can speed up a range of search applications over unsorted data. For example imagine a phone directory containing N names arranged in completely random order. To find someone's phone number with a probability of 50%, any classical algorithm (whether deterministic or probabilistic) will need to access the database a minimum of O(N) times. Quantum mechanical systems can be in a superposition of states and simultaneously examine multiple names. By properly adjusting the phases of various operations, successful computations reinforce each other while others interfere randomly. As a result, the desired phone number can be obtained in only O(sqrt(N)) accesses to the database.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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