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arXiv · 1603.00173

Pattern recognition on the quantum Bloch sphere

Giuseppe Sergioli·Enrica Santucci·Luca Didaci·Jaroslaw A. Miszczak·Roberto Giuntini
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Abstract

We introduce a framework suitable for describing pattern recognition task using the mathematical language of density matrices. In particular, we provide a one-to-one correspondence between patterns and pure density operators. This correspondence enables us to: i) represent the Nearest Mean Classifier (NMC) in terms of quantum objects, ii) introduce a Quantum Classifier (QC). By comparing the QC with the NMC on different 2D datasets, we show the first classifier can provide additional information that are particularly beneficial on a classical computer with respect to the second classifier.

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Giuseppe Sergioli, Enrica Santucci, Luca Didaci, Jaroslaw A. Miszczak, Roberto Giuntini. 2016-03-01. Pattern recognition on the quantum Bloch sphere. https://doi.org/10.1007/s00500-016-2478-2

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