Single-qubit unitary gates by graph scattering
Single-qubit unitary gates by graph scattering
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DOI：
10.1103/physreva.84.062302
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发表时间：
2011-12-05
影响因子：
2.9
通讯作者：
Feder, David L.
中科院分区：
文献类型：
--
作者：
Blumer, Benjamin A.;Underwood, Michael S.;Feder, David L.
我们考虑的平面波状态散射有限图的影响，作为一种方法来实现单量子比特酉操作的通用量子计算的连续时间量子行走框架内。在给定图的任意点上连接四个半无限尾，表示单个量子位的输入和输出寄存器。对于一系列的动量本征态，我们列举了所有的图与n = 9顶点的散射实现单量子比特门。随着n的增加，新的酉运算的数量呈指数级增加，并且当n > 6时，大多数对应于围绕大致均匀分布在布洛赫球上的轴的旋转。旋转的合理和不合理的倍数圆周率被发现。
We consider the effects of plane-wave states scattering off finite graphs as an approach to implementing single-qubit unitary operations within the continuous-time quantum walk framework of universal quantum computation. Four semi-infinite tails are attached at arbitrary points of a given graph, representing the input and output registers of a single qubit. For a range of momentum eigenstates, we enumerate all of the graphs with up to n = 9 vertices for which the scattering implements a single-qubit gate. As n increases, the number of new unitary operations increases exponentially, and for n > 6 the majority correspond to rotations about axes distributed roughly uniformly across the Bloch sphere. Rotations by both rational and irrational multiples of pi are found.