Encounter-Based Density Approximation Using Multi-step and Quantum-Inspired Random Walks
Robert S. Wezeman (TNO)
Niel M.P. Neumann (TNO)
Frank Phillipson (Maastricht University, TNO)
Robert E. Kooij (TU Delft - Quantum & Computer Engineering, TNO)
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Abstract
In this paper we study encounter-based density estimation using different random walks and analyse the effects of the step-size on the convergence of the density approximation. Furthermore, we analyse different types of random walks, namely, a uniform random walk, with every position equally likely to be visited next, a classical random walk and a quantum-inspired random walk, where the probability distribution for the next state is sampled from a quantum random walk. We find that walks with additional steps lead to faster convergence, but that the type of step, quantum-inspired or classical, has only a marginal effect.