Contextual Query Using Bell Tests

TL;DR

This paper introduces a quantum-inspired correlation measure based on Bell tests applied to semantic space, aiming to improve query relevance evaluation in Information Retrieval.

Contribution

It develops a quantum HAL model and demonstrates how Bell test-based measures can reveal document-dependent semantic correlations.

Findings

Bell parameter S peaks at specific window sizes

Maximum quantum violation varies across documents

Quantum-inspired measure shows promise for relevance assessment

Abstract

Tests are essential in Information Retrieval and Data Mining in order to evaluate the effectiveness of a query. An automatic measure tool intended to exhibit the meaning of words in context has been developed and linked with Quantum Theory, particularly entanglement. "Quantum like" experiments were undertaken on semantic space based on the Hyperspace Analogue Language (HAL) method. A quantum HAL model was implemented using state vectors issued from the HAL matrix and query observables, testing a wide range of windows sizes. The Bell parameter S, associating measures on two words in a document, was derived showing peaks for specific window sizes. The peaks show maximum quantum violation of the Bell inequalities and are document dependent. This new correlation measure inspired by Quantum Theory could be promising for measuring query relevance.