  Relevance judgment in Information Retrieval is influenced by multiple
factors. These include not only the topicality of the documents but also other
user oriented factors like trust, user interest, etc. Recent works have
identified these various factors into seven dimensions of relevance. In a
previous work, these relevance dimensions were quantified and user's cognitive
state with respect to a document was represented as a state vector in a Hilbert
Space, with each relevance dimension representing a basis. It was observed that
relevance dimensions are incompatible in some documents, when making a
judgment. Incompatibility being a fundamental feature of Quantum Theory, this
motivated us to test the Quantum nature of relevance judgments using Bell type
inequalities. However, none of the Bell-type inequalities tested have shown any
violation. We discuss our methodology to construct incompatible basis for
documents from real world query log data, the experiments to test Bell
inequalities on this dataset and possible reasons for the lack of violation.
