One-dimensional lackadaisical quantum walks

Nov 24, 2017·
Kun WANG
Kun WANG
,
Nan Wu
,
Ping Xu
,
Fangmin Song
· 0 min read
Abstract
In this paper, we study the properties of lackadaisical quantum walks (LQWs) on a line. This model was first proposed in (Wong et al., J. Phys. A: Math. Theor. 48 435304, 2015) as a quantum analogue of lazy random walks where each vertex is attached to τ self-loops. We derive an analytic expression for the localization probability of the walker at the origin after infinite steps, and obtain the peak velocities of the walker. We also calculate the wave function of the walker starting from the origin and obtain a long-time approximation for the entire probability density function. As an application of the density function, we prove that lackadaisical quantum walks spread ballistically for arbitrary τ, and give an analytic solution for the variance of the walker’s probability distribution.
Type
Publication
Journal of Physics A: Mathematical and Theoretical
publication research
Quantum Walks Lackadaisical Quantum Walks Localization Probability
Kun WANG
Authors
Kun WANG
Associate Researcher

I am an Associate Researcher and Outstanding Young Talent in the College of Computer Science and Technology, National University of Defense Technology (NUDT).

My research develops practical foundations for reliable and scalable quantum information processing. I work across photonic quantum computing, quantum characterization, verification and validation, distributed quantum estimation, and quantum information theory.

Before joining NUDT, I was a Senior Researcher at the Institute for Quantum Computing, Baidu Research, from 2020 to 2023. I led the development of the Quantum Error Processing (QEP) toolkit for characterizing, mitigating, and correcting errors in quantum devices through software. I received the Shenzhen Industrial Development and Innovation Talent Award in 2023.

Previously, I was a postdoc at the Shenzhen Institute for Quantum Science and Engineering (SIQSE), Southern University of Science and Technology, where I worked with Prof. Masahito Hayashi.