Quantum Statistical Inference

TL;DR

This paper introduces a novel quantum statistical inference method inspired by classical principles, enabling accurate quantum state estimation and measurement prediction with minimal complexity and reduced overfitting.

Contribution

It presents a new quantum inference approach that balances complexity and accuracy, inspired by the classical Minimum Description Length principle.

Findings

Effective quantum state estimation demonstrated

Reduced overfitting in quantum predictions

Achieved minimal quantum complexity in models

Abstract

In this paper, inspired by the "Minimum Description Length Principle" in classical Statistics, we introduce a new method for predicting the outcomes of a quantum measurement and for estimating the state of a quantum system with minimum quantum complexity, while, at the same time, avoiding overfitting.