Discrete-event simulation of quantum walks

Abstract

We use discrete-event simulation on a digital computer to study two different models of experimentally realizable quantum walks. The simulation models comply with Einstein locality, are as "realistic" as the one of the simple random walk in that the particles follow well-defined trajectories, are void of concepts such as particle-wave duality and wave-function collapse, and reproduce the quantum-theoretical results by means of a cause-and-effect, event-by-event process. Our simulation model for the quantum walk experiment presented in [C. Robens et al., Phys. Rev. X 5, 011003 (2015)] reproduces the result of that experiment. Therefore, the claim that the result of the experiment "rigorously excludes (i.e., falsifies) any explanation of quantum transport based on classical, well-defined trajectories" needs to be revised.

open source code available at https://jugit.fz-juelich.de/qip/quantum-walk

References in corpus (4)

• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Discrete single-photon quantum walks with tunable decoherence
• Ideal negative measurements in quantum walks disprove theories based on classical trajectories
• Implement Quantum Random Walks with Linear Optics Elements

Cited by in corpus (1)

• Supercomputer simulations of transmon quantum computers