Is the quantum theory predictably complete?

TL;DR

This paper discusses whether quantum theory is predictably complete by proposing statistical tests to detect potential fine structures in experimental data that are not captured by standard probabilistic predictions.

Contribution

It introduces statistical methods to analyze quantum data for hidden structures, addressing the question of QT's completeness beyond current empirical verification.

Findings

Proposes statistical tests for fine structures in quantum data

Highlights importance of understanding QT's limitations in quantum information

Encourages further analysis of experimental data for hidden patterns

Abstract

Quantum theory (QT) provides statistical predictions for various physical phenomena. The outcomes of these measurements are in general some numerical time series registered by some macroscopic instruments. The various empirical probability distributions extracted from these time series were shown to be consistent with the probabilistic predictions of QT. However it was not proven that the time series of existing experimental data did not contain some stochastic fine structures, which could have been averaged out by describing them in terms of the empirical probability distributions. In this paper we advocate various statistical tests which could be used to search for such fine structures in the data and to answer the title question of this paper. In our opinion a proper understanding of the statistical character of QT and of its limitations is crucial in the domains such as: quantum optics and quantum information.