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...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.展开更多
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
文摘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.