  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.
