Measurement induced quantum walks on an IBM Quantum Computer

TL;DR

This paper experimentally investigates a measurement-induced quantum walk on an IBM Quantum Computer, demonstrating key theoretical phenomena like quantized return times and transition time behaviors through precise measurements.

Contribution

First experimental realization of a measurement-induced quantum walk on a real quantum computer, validating theoretical predictions with high accuracy.

Findings

Quantization of the first detected return time

Increase of mean transition time near degeneracies

Experimental confirmation of theoretical quantum walk behaviors

Abstract

We study a quantum walk of a single particle that is subject to stroboscopic projective measurements on a graph with two sites. This two-level system is the minimal model of a measurement induced quantum walk. The mean first detected transition and return time are computed on an IBM quantum computer as a function of the hopping matrix element between the sites and the on-site potential. The experimentally monitored quantum walk reveals the theoretically predicted behavior, such as the quantization of the first detected return time and the strong increase of the mean first detected transition time near degenerate points, with high accuracy.