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Quantum Search Algorithm Based on Multi-Phase |
| LI Tan1,2, BAO Wan-Su1,2**, LIN Wen-Qian1,2, ZHANG Hou1,2, FU Xiang-Qun1,2 |
1The PLA Information Engineering University, Zhengzhou 450001
2Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026 |
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| Cite this article: |
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LI Tan, BAO Wan-Su, LIN Wen-Qian et al 2014 Chin. Phys. Lett. 31 050301 |
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Abstract The success probability of the Grover quantum search algorithm decreases quickly when the fraction of target items exceeds 1/4, where the phase plays a significant role. Therefore, we use multiple phases to complement each other. We obtain three useful properties and an important theorem of the success probability and design a systematic solution of the optimal phases for an arbitrary number of phases. Based on these results, we finally propose a multi-phase quantum search algorithm whose success probability rises with the increase of the number of phases with just a single iteration, and it tends to be 100% when the fraction of target items is over a lower limit.
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Published: 24 April 2014
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| PACS: |
03.67.Lx
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(Quantum computation architectures and implementations)
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03.67.-a
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(Quantum information)
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03.67.Ac
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(Quantum algorithms, protocols, and simulations)
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