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The Kluwer international series on information retrieval

Introduction to Information Retrieval and Quantum Mechanics

Massimo Melucci

Published Jan 1, 2015• 91 citations
Publisher
DOI
10.1007/978-3-662-48313-8

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This paper reviews the recent developments in applying geometric and quantum mechanics methods for information retrieval and natural language processing. It discusses the interesting analogies between components of information retrieval and quantum mechanics. It then describes some quantum mechanics phenomena found in the conventional data analysis and in the psychological experiments for word association. It also presents the applications of the concepts and methods in quantum mechanics such as quantum logic and tensor product to document retrieval and meaning of composite words, respectively. The purpose of the paper is to give the state of the art on and to draw attention of the IR community to the geometric and quantum methods and their potential applications in IR and NLP.
Information encoded in non-orthogonal quantum states cannot be duplicated, nor amplified, and in general at is only partly recoverable. The most efficient way of retrieving it is not a direct uquantum measurement” (as defined by von Neumann), but an indirect method similar to heterodyne detection in communications engineering. The mathematical representation of this process requires the introduction of a positive operator valued measure. The optimization of these measures is not yet fully undersiood. An interesting and potentially important application of quantum information is its use an cryptography.