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Average position in quantum walks with a U(2) coin |
| Li Min (李敏), Zhang Yong-Sheng (张永生), Guo Guang-Can (郭光灿) |
| 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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Received: 01 November 2012
Revised: 30 November 2012
Accepted manuscript online:
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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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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| Fund: 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), and K. C. Wong Education Foundation and the Chinese Academy of Sciences. |
Corresponding Authors:
Zhang Yong-Sheng
E-mail: yszhang@ustc.edu.cn
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Cite this article:
Li Min (李敏), Zhang Yong-Sheng (张永生), Guo Guang-Can (郭光灿) Average position in quantum walks with a U(2) coin 2013 Chin. Phys. B 22 030310
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