Average position in quantum walks with a U(2) coin

Average position in quantum walks with a U(2) coin

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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. 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.

作者李敏张永生郭光灿

机构地区 Key Laboratory of Quantum Information

出处《Chinese Physics B》 SCIE EI CAS CSCD 2013年第3期40-43,共4页 中国物理B（英文版）

基金 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

关键词 quantum random walk U（2） coin average position quantum random walk,U（2） coin,average position

分类号 O413 [理学—理论物理] O178 [理学—基础数学]

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Average position in quantum walks with a U(2) coin

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