algorithms and continuous time based algorithms [13]. A random walk is implemented by utilizing the network topology, so it can also be used to calculate the proximity between nodes. For …

In mathematics, a random walk, sometimes known as a drunkard's walk, is a stochastic process that describes a path that consists of a succession of random steps on some mathematical …

May 23, 2003 · In this paper, we present a quantum search algorithm based on the quantum random-walk architecture that provides such a speedup. It will be shown that this algorithm …

to physically implement the random walks and Grover’s algorithm. Lastly, using similar principles to Grover’s, we will explore a possible application of quantum random walks as a search …

In this paper, we present a quantum search algorithm based on the quantum random-walk architecture that provides such a speedup. It will be shown that this algorithm performs an …

Jan 9, 2024 · Graph algorithms like DeepWalk and Node2Vec uses Random Walk for generating vector representation of nodes in a graph. Random walk can be used as a baseline for Time …

initialize the walk, the U queries used to move between neighboring vertices of G, and the C queries used to check whether a given vertex of Gis marked. If the walk has spectral gap and …

In the context of quantum computing, the quantum walk search is a quantum algorithm for finding a marked node in a graph. [1] The concept of a quantum walk is inspired by classical random …

Aug 9, 2020 · We first review the knowledge of classical random walks and quantum walks, including basic concepts and some typical algorithms. We also compare the algorithms based …

random walk algorithms provides a foundation for studying quantum walk algorithms. Motivated by these reasons, the plan for these notes is to introduce random walks, explain their connection …