The meeting problem in the quantum random walk

一维格上持久随机游走与量子游走之间插值游走具有反正弦律的正态方差混合

Normal variance mixture with arcsine law of an interpolating walk between persistent random walk and quantum walk

提出一维格上单参数插值量子游走与持久随机游走的模型，证明其极限分布服从反正弦律的正态方差混合。

Mapping a finite and an infinite Hadamard quantum walk onto a unique case of a random walk process

A new model that maps a quantum random walk described by a Hadamard operator to a particular case of a random walk is presented. The model is represented by a Markov chain with a stochastic matrix, i.e., all the transition rates are positive, although the Hadamard operator contains negative entries. Using a proper transformation that is applied to the random walk distribution after n steps, the probability distributions in space of the two quantum states |1>, |0> are revealed. These show that a quantum walk can be entirely mapped to a particular case of a higher dimension of a random walk mode…

Temporal Fluctuations of Continuous-Time Quantum Random Walks on Circles

This work deals with both instantaneous uniform mixing property and temporal standard deviation for continuous-time quantum random walks on circles in order to study their fluctuations comparing with discrete-time quantum random walks, and continuous- and discrete-time classical random walks.

Investigation of the time evolution of entanglement and trace distance in an atom-cavity system described with random walk and non-random walk states

An atom-cavity system consists of an atom or group of atoms inside a cavity. When an atom in cavity is stimulated by a laser pump, it is affected by the atom-field interaction shows the quasi-random walk behavior. This can change the entanglement and trace distance of system. In this work, the change entanglement and trace distance of system in two different cases namely the random walk and non-random walk is considered. The descriptive system is a two-level atom in the electrodynamics cavity based on the Jaynes-Cummings model, which is stimulated by two longitudinal and transverse laser pumps…

量子行走可幺正表示有限图上的随机行走

Quantum Walks can Unitarily Represent Random Walks on Finite Graphs

该研究提出反向构造方法，证明有限图上任意随机行走的顶点分布可由幺正时变量子行走匹配，揭示量子行走不收敛源于时间齐次性与幺正性共同作用，并展示其在环与环面均匀随机行走模拟中的应用。

Quantum random walks in optical lattices

We propose an experimental realization of discrete quantum random walks using neutral atoms trapped in optical lattices. The random walk is taking place in position space and experimental implementation with present day technology --even using existing set-ups-- seems feasible. We analyze the influence of possible imperfections in the experiment and investigate the transition from a quantum random walk to the classical random walk for increasing errors and decoherence.