One-dimensional quantum walks with two-step memory

被引：0
|
作者：
Zhou, Qing [1 ,2 ]
Lu, Songfeng [1 ,2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Cyber Sci & Engn, Wuhan 430074, Hubei, Peoples R China
[2] Shenzhen Huazhong Univ Sci & Technol, Res Inst, Shenzhen 518063, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2019年 / 18卷 / 12期
关键词：
Quantum walk with memory; Amplitudes; Hadamard walk;
D O I：
10.1007/s11128-019-2475-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we investigate one-dimensional quantum walks with two-step memory, which can be viewed as an extension of quantum walks with one-step memory. We develop a general formula for the amplitudes of the two-step memory walk with Hadamard coin by using path integral approach and numerically simulate its process. The simulation shows that the probability distribution of this new walk is different from that of the Hadamard quantum walk with one-step memory, while it presents some similarities with that of the normal Hadamard quantum walk without memory.
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收藏
页数：17
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