Mimicking the Probability Distribution of a Two-Dimensional Grover Walk with a Single-Qubit Coin

被引：70
|
作者：
Di Franco, C. [1 ]
Mc Gettrick, M. [2 ]
Busch, Th. [1 ]
机构：
[1] Univ Coll Cork, Dept Phys, Cork, Ireland
[2] Natl Univ Ireland, Sch Math, De Brun Ctr Computat Algebra, Galway, Ireland
来源：
PHYSICAL REVIEW LETTERS | 2011年 / 106卷 / 08期
基金：
爱尔兰科学基金会;
关键词：
QUANTUM RANDOM-WALKS; ENTANGLEMENT; COHERENCE;
D O I：
10.1103/PhysRevLett.106.080502
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The nonlocalized case of the spatial density probability of the two-dimensional Grover walk can be obtained using only a two-dimensional coin space and a quantum walk in alternate directions. This significantly reduces the resources necessary for its feasible experimental realization. We present a formal proof of this correspondence and analyze the behavior of the coin-position entanglement as well as the x-y spatial entanglement in our scheme with respect to the Grover one. Our scheme allows us to entangle the two orthogonal directions of the walk more efficiently.
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页数：4
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