| Average position in quantum walks with a U（2） coin |
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| 引用本文： | 李敏,张永生,郭光灿. Average position in quantum walks with a U（2） coin[J]. 中国物理 B, 2013, 22(3): 30310-030310. DOI: 10.1088/1674-1056/22/3/030310 |
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| 作者姓名： | 李敏 张永生 郭光灿 |
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| 作者单位： | Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Science, Hefei 230026, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos. 10974192 and 61275122);the National Basic Research Program of China(Grant Nos. 2011CB921200 and 2011CBA00200);K. C. Wong Education Foundation and the Chinese Academy of Sciences |
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| 摘 要： | We investigated discrete-time quantum walks with an arbitary unitary coin.Here we discover that the average position x=max(x) sin(α+γ),while the initial state is 1/2～(1/2)(|0L+i|0R).We verify the result,and obtain some symmetry properties of quantum walks with a U(2) coin with |0L and |0R as the initial state.
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| 关 键 词： | 硬币 量子 平均 位置 初始状态 对称性质 |
| 收稿时间： | 2012-11-01 |
Average position in quantum walks with a U(2) coin |
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| Li Min,Zhang Yong-Sheng,Guo Guang-Can. Average position in quantum walks with a U(2) coin[J]. Chinese Physics B, 2013, 22(3): 30310-030310. DOI: 10.1088/1674-1056/22/3/030310 |
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| Authors: | Li Min Zhang Yong-Sheng Guo Guang-Can |
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| Affiliation: | Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Science, Hefei 230026, China |
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| Abstract: | We investigated discrete-time quantum walks with an arbitary unitary coin. Here we discover that the average position〈x〉=max(〈x〉)sin(α+γ), while the initial state is 1/√2(|0L〉+ i|0R〉). We verify the result, and obtain some symmetry properties of quantum walks with a U(2) coin with |0L〉 and |0R〉 as the initial state. |
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| Keywords: | quantum random walk U(2) coin average position |
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