A graph with fractional revival

被引：13
|
作者：
Bernard, Pierre-Antoine [1 ]
Chan, Ada [2 ]
Loranger, Erika [1 ]
Tamon, Christino [3 ]
Vinet, Luc [1 ]
机构：
[1] Univ Montreal, Ctr Rech Math, CP 6128, Montreal, PQ H3T 3J7, Canada
[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
[3] Clarkson Univ, Dept Comp Sci, Potsdam, NY 13699 USA
来源：
PHYSICS LETTERS A | 2018年 / 382卷 / 05期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Quantun walks; Fractional revival; Graphs; Hamming scheme; Spin chains; STATE TRANSFER; QUANTUM; PERFECT; RECURRENCE; WALKS;
D O I：
10.1016/j.physleta.2017.12.001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An example of a graph that admits balanced fractional revival between antipodes is presented. It is obtained by establishing the correspondence between the quantum walk on a hypercube where the opposite vertices across the diagonals of each face are connected and, the coherent transport of single excitations in the extension of the Krawtchouk spin chain with next-to-nearest neighbour interactions. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：259 / 264
页数：6
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