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Grover quantum searching algorithm based on weighted targets

Journal of Systems Engineering and Electronics 2008年第2期19卷 363-369页

作者： Li Panchi Li Shiyong Dept. of Control Science and Engineering Harbin Inst. of Technology Harbin 150001 P. R. China Dept. of Computer Science and Engineering Daqing Petroleum Inst. Daqing 163318 P. R. China

The current Grover quantum searching algorithm cannot identify the difference in importance of the search targets when it is applied to an unsorted quantum database, and the probability for each search target is equal. To solve this problem, a Grover searching algorithm based on weighted targets is proposed. First, each target is endowed a weight coefficient according to its importance. Applying these different weight coefficients, the targets are represented as quantum superposition states. Second, the novel Grover searching algorithm based on the quantum superposition of the weighted targets is constructed. Using this algorithm, the probability of getting each target can be approximated to the corresponding weight coefficient, which shows the flexibility of this algorithm. Finally, the validity of the algorithm is proved by a simple searching example.

关键词： Grover algorithm targets weighting quantum searching quantum computing.

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A quantum search algorithm of two-dimensional convex hull

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Communications in Theoretical Physics 2021年第11期73卷 85-92页

作者： Cheng Wang Ri-Gui Zhou College of Information Engineering Shanghai Maritime UniversityShanghai201306China Research Center of Intelligent Information Processing and quantum Intelligent Computing Shanghai201306China

Despite the rapid development of quantum research in recent years,there is very little research in computational *** this paper,to achieve the convex hull of a point set in a quantum system,a quantum convex hull algorithm based on the quantum maximum or minimum searching algorithm(QUSSMA)is ***,the novel enhanced quantum representation of digital images is employed to represent a group of point set,and then the QUSSMA algorithm and vector operation are used to search the convex hull of the point *** addition,the algorithm is simulated and compared with the classical *** is concluded that the quantum algorithm accelerates the classical algorithm when the Mpvalue of the convex hull point is under a certain condition.

关键词： quantum algorithm convex hull computational geometry quantum searching

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Behavior of quantum search algorithm with small phase rotations

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High Technology Letters 2011年第1期17卷 91-96页

作者：李欣 Cheng Chuntian Li Panchi Xu Shaohua School of Electronics and Information Engineering Dalian University of Technology Dalian 116024 P.R. China Institute of Hydropower System and Hydroinformatics I）alian University of Technology Dalian 116024 P.R. China School of Computer ＆ Information Technology Northeast Petroleum University Daqing 163318 P.R. China

When the Grover＇ s original algorithm is applied to search an unordered database, the success probability decreases rapidly with the increase of marked items. Aiming at this problem, a general quantum search algorithm with small phase rotations is proposed. Several quantum search algorithms can be derived from this algorithm according to different phase rotations. When the size of phase rotations are fixed at 0. 01π, the success probability of at least 99. 99% can be obtained in 0（√N/M） iterations.

关键词： quantum computing quantum searching Grover' s algorithm phase matching small phase rotations

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