RETURN PROBABILITY OF ONE-DIMENSIONAL DISCRETE-TIME QUANTUM WALKS WITH FINAL-TIME DEPENDENCE

被引：0

作者：

Ide, Yusuke ^{[1
]}

Konno, Norio ^{[2
]}

Machida, Takuya ^{[3
]}

Segawa, Etsuo ^{[4
]}

机构：

[1] Kanagawa Univ, Dept Informat Syst Creat, Kanagawa Ku, Yokohama, Kanagawa 2218686, Japan

[2] Yokohama Natl Univ, Dept Appl Math, Yokohama, Kanagawa 2408501, Japan

[3] Meiji Univ, Meiji Inst Adv Study Math Sci, Tama Ku, Kawasaki, Kanagawa 2148571, Japan

[4] Univ Tokyo, Dept Math Informat, Bunkyo Ku, Tokyo 1138656, Japan

来源：

QUANTUM INFORMATION & COMPUTATION | 2011年 / 11卷 / 9-10期

基金：

日本学术振兴会;

关键词：

Quantum walk; return probability; time-dependence; LIMIT-THEOREMS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. Moreover, we discuss a relation between the quantum walk and the corresponding final-time dependent classical random walk.

引用

页码：761 / 773

页数：13

共 50 条

[11] Complexity for one-dimensional discrete-time quantum walk circuits
Bhattacharya, Aranya
Sahu, Himanshu
Zahed, Ahmadullah
Sen, Kallol
PHYSICAL REVIEW A, 2024, 109 (02)
[12] Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware
Singh, Shivani
Alderete, C. Huerta
Balu, Radhakrishnan
Monroe, Christopher
Linke, Norbert M.
Chandrashekar, C. M.
PHYSICAL REVIEW A, 2021, 104 (06)
[13] Statistics of Floquet quasienergy spectrum for one-dimensional periodic, Fibonacci quasiperiodic and random discrete-time quantum walks
Gong, Longyan
Sun, Jingye
Guo, Xuan
Cheng, Weiwen
Zhao, Shengmei
EUROPEAN PHYSICAL JOURNAL B, 2022, 95 (05):
[14] Statistics of Floquet quasienergy spectrum for one-dimensional periodic, Fibonacci quasiperiodic and random discrete-time quantum walks
Longyan Gong
Jingye Sun
Xuan Guo
Weiwen Cheng
Shengmei Zhao
The European Physical Journal B, 2022, 95
[15] Limitations of discrete-time quantum walk on a one-dimensional infinite chain
Lin, Jia-Yi
Zhu, Xuanmin
Wu, Shengjun
PHYSICS LETTERS A, 2018, 382 (13) : 899 - 903
[16] One-Dimensional Discrete-Time Phase Retrieval
Beinert, Robert
Plonka, Gerlind
NANOSCALE PHOTONIC IMAGING, 2020, 134 : 603 - 627
[17] The uniform measure for discrete-time quantum walks in one dimension
Norio Konno
Quantum Information Processing, 2014, 13 : 1103 - 1125
[18] The uniform measure for discrete-time quantum walks in one dimension
Konno, Norio
QUANTUM INFORMATION PROCESSING, 2014, 13 (05) : 1103 - 1125
[19] One-Dimensional Continuous-Time Quantum Walks
D. ben-Avraham
E.M. Bollt
C. Tamon
Quantum Information Processing, 2004, 3 : 295 - 308
[20] One-Dimensional Continuous-Time Quantum Walks
ben-Avraham, D.
Bollt, E. M.
Tamon, C.
QUANTUM INFORMATION PROCESSING, 2004, 3 (1-5) : 295 - 308

← 1 2 3 4 5 →