Abstract | ||
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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 Sergioli | 1 | 23 | 11.03 |
Enrica Santucci | 2 | 2 | 1.06 |
Luca Didaci | 3 | 299 | 19.29 |
Jaroslaw Adam Miszczak | 4 | 9 | 9.43 |
Roberto Giuntini | 5 | 118 | 26.43 |