Pattern recognition on the quantum Bloch sphere
Quantum Physics
2017-12-21 v2 Computer Vision and Pattern Recognition
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.
Cite
@article{arxiv.1603.00173,
title = {Pattern recognition on the quantum Bloch sphere},
author = {Giuseppe Sergioli and Enrica Santucci and Luca Didaci and Jaroslaw A. Miszczak and Roberto Giuntini},
journal= {arXiv preprint arXiv:1603.00173},
year = {2017}
}