One-dimensional quantum walks with two-step memory

被引：0
|
作者：
Qing Zhou
Songfeng Lu
机构：
[1] Huazhong University of Science and Technology,School of Cyber Science and Engineering
[2] Shenzhen Huazhong University of Science and Technology Research Institute,undefined
来源：
Quantum Information Processing | 2019年 / 18卷
关键词：
Quantum walk with memory; Amplitudes; Hadamard walk;
D O I：
暂无
中图分类号：
学科分类号：
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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