Simulation of the Single- and Double-Slit Experiments with Quantum Walkers

TL;DR

This paper simulates single- and double-slit experiments using quantum walkers on a lattice, analyzing how different coin types influence diffraction and interference patterns.

Contribution

It introduces a simulation approach for quantum walk-based slit experiments, highlighting the impact of coin choices on interference phenomena.

Findings

Diffraction and interference patterns depend on coin type.

Simulations demonstrate the effect of slit barriers on quantum walkers.

Different coins produce varying interference effects.

Abstract

We employ the broken-link model to create a barrier with slits in a two-dimensional lattice. The diffraction and interference patterns of the probability distribution of quantum walkers passing through the slits are analyzed. Simulations were performed using the main types of coins, and display diffraction and interference patterns that depend on the choice of coins.