2025/06/07 by Surajit Saha, Saha, Surajit
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum-Dot Cellular Automata #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2506.06896
The dynamics of a discrete-time quantum walk (DTQW) can be realized within a purely classical interacting particle system composed of some boxes and a large but finite number of balls, and can, in principle, be implemented in a tabletop experimental setting. The distribution of the balls evolves under stochastic, occupation-dependent update rules at each lattice site, producing quantum-walk dynamics without invoking a wavefunction. The update parameters are fixed by the parameters of coin and shift operations of the DTQW. This framework naturally yields a generalized active spin model and provides a minimal lattice-based microscopic understanding of the emergence of quantum-like dynamics in active matter systems. This interdisciplinary approach connects the classical models to the broad range of applications where DTQWs are successfully employed.