Title
A quantum-inspired version of the nearest mean classifier.
Abstract
We introduce a framework suitable for describing standard classification problems using the mathematical language of quantum states. In particular, we provide a one-to-one correspondence between real objects and pure density operators. This correspondence enables us: (1) to represent the nearest mean classifier (NMC) in terms of quantum objects, (2) to introduce a quantum-inspired version of the NMC called quantum classifier (QC). By comparing the QC with the NMC on different datasets, we show how the first classifier is able to provide additional information that can be beneficial on a classical computer with respect to the second classifier.
Year
DOI
Venue
2018
10.1007/s00500-016-2478-2
Soft Comput.
Keywords
Field
DocType
Bloch sphere, Quantum classifier, Non-standard application of quantum formalism
Quantum,Computer science,Algorithm,Quantum state,Theoretical computer science,Software,Language of mathematics,Operator (computer programming),Bloch sphere,Classifier (linguistics),Geometry and topology
Journal
Volume
Issue
ISSN
22
3
1433-7479
Citations 
PageRank 
References 
1
0.37
10
Authors
5
Name
Order
Citations
PageRank
Giuseppe Sergioli12311.03
Enrica Santucci221.06
Luca Didaci329919.29
Jaroslaw Adam Miszczak499.43
Roberto Giuntini511826.43