Testing quantum mechanics: a statistical approach

TL;DR

This paper discusses the challenges of experimentally testing quantum mechanics with complex systems, emphasizing the role of statistical methods and quantum information theory to interpret noisy and indirect data.

Contribution

It introduces a statistical framework for analyzing experimental data in quantum tests, focusing on optomechanics as a key example, to improve reliability in identifying quantum behavior.

Findings

Highlights difficulties in testing quantum mechanics with complex systems

Proposes statistical techniques to interpret noisy experimental data

Uses optomechanics as a case study for applying these methods

Abstract

As experiments continue to push the quantum-classical boundary using increasingly complex dynamical systems, the interpretation of experimental data becomes more and more challenging: when the observations are noisy, indirect, and limited, how can we be sure that we are observing quantum behavior? This tutorial highlights some of the difficulties in such experimental tests of quantum mechanics, using optomechanics as the central example, and discusses how the issues can be resolved using techniques from statistics and insights from quantum information theory.