Abstract
This chapter aims at providing a survey of the body of scientific literature relevant to Quantum Mechanics (QM) and Information Retrieval (IR). The survey is illustrated with a common notation to fully grasp the contribution of each paper. In particular, the probability aspects of IR and those of QM are emphasized because probability is one of the most important topics of both disciplines.
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Notes
- 1.
The reading of this chapter requires some knowledge of Probability and Linear Algebra.
- 2.
Note that tr(|x〉〈x||y〉〈y|)=|〈x|y〉|2, which is 1 when x=y.
- 3.
θ is the angle of the polar representation of the complex number \(a_{0} \bar{b}_{0} a_{1} \bar{b}_{1}\).
- 4.
The canonical basis vector |e i 〉 of a vector space with n dimensions is (0,…,1,…,0)⊤ such that 1 occurs at the i-th position.
- 5.
“Statistical correlation” is meant.
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Acknowledgements
The work by Massimo Melucci has received funding from the European Union Seventh Framework Programme (FP7/2007-2013) under grant agreement N. 247590.
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Melucci, M., van Rijsbergen, K. (2011). Quantum Mechanics and Information Retrieval. In: Melucci, M., Baeza-Yates, R. (eds) Advanced Topics in Information Retrieval. The Information Retrieval Series, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20946-8_6
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