On the use of complex numbers in quantum models for information retrieval

Zuccon, Guido, Piwowarski, Benjamin, & Azzopardi, Leif (2011) On the use of complex numbers in quantum models for information retrieval. In Lecture Notes in Computer Science : Advances in Information Retrieval Theory, Springer, Bertinoro, Italy, pp. 346-350.

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Quantum-inspired models have recently attracted increasing attention in Information Retrieval. An intriguing characteristic of the mathematical framework of quantum theory is the presence of complex numbers. However, it is unclear what such numbers could or would actually represent or mean in Information Retrieval. The goal of this paper is to discuss the role of complex numbers within the context of Information Retrieval. First, we introduce how complex numbers are used in quantum probability theory. Then, we examine van Rijsbergen’s proposal of evoking complex valued representations of informations objects. We empirically show that such a representation is unlikely to be effective in practice (confuting its usefulness in Information Retrieval). We then explore alternative proposals which may be more successful at realising the power of complex numbers.

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4 citations in Scopus
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4 citations in Web of Science®

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ID Code: 69283
Item Type: Conference Paper
Refereed: Yes
Additional Information: Book Subtitle:
Third International Conference, ICTIR 2011, Bertinoro, Italy, September 12-14, 2011. Proceedings
DOI: 10.1007/978-3-642-23318-0_36
ISBN: 9783642233173
Divisions: Current > Institutes > Institute for Future Environments
Current > Schools > School of Information Systems
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 02 Jun 2014 03:46
Last Modified: 24 Jul 2014 19:47

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