Title: Quantum-Enhanced Statistical Inference – Leveraging Quantum Algorithms for Data Analysis

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum-enhanced statistical inference represents a significant advancement in data analysis, leveraging the unique properties of quantum mechanics to surpass the limitations of classical approaches. This paper investigates the design and implementation of a novel statistical inference algorithm, incorporating a quantum algorithm, designed to enhance accuracy and efficiency, particularly when dealing with large datasets. We explore the potential of quantum computation to accelerate computationally intensive tasks critical to statistical analysis, focusing on the application of a modified Grover's algorithm to estimate expected values. The core mechanism centers around exploiting quantum phenomena to reduce computational complexity and improve the reliability of statistical results. This work presents a comprehensive theoretical analysis and practical implementation demonstrating a substantial improvement over existing classical methods, particularly for large datasets, and lays the groundwork for a new paradigm in statistical data processing. The research culminates in a detailed discussion of the algorithm's performance characteristics and potential applications across diverse statistical domains.

DOI: 10.5281/zenodo.22291822

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