We analyze possible connections between quantum-inspired classifications and support vector machines. Quantum state discrimination and optimal quantum measurement are useful tools for classification problems. In order to use these tools, feature vectors have to be encoded in quantum states represented by density operators. Classification algorithms inspired by quantum state discrimination and implemented on classic computers have been recently proposed. We focus on the implementation of a known quantum-inspired classifier based on Helstrom state discrimination showing its connection with support vector machines and how to make the classification more efficient in terms of space and time acting on quantum encoding. In some cases, traditional methods provide better results. Moreover, we discuss the quantum-inspired nearest mean classification.

(2021). Support Vector Machines with Quantum State Discrimination [journal article - articolo]. In QUANTUM REPORTS. Retrieved from http://hdl.handle.net/10446/189662

Support Vector Machines with Quantum State Discrimination

Leporini, Roberto;
2021

Abstract

We analyze possible connections between quantum-inspired classifications and support vector machines. Quantum state discrimination and optimal quantum measurement are useful tools for classification problems. In order to use these tools, feature vectors have to be encoded in quantum states represented by density operators. Classification algorithms inspired by quantum state discrimination and implemented on classic computers have been recently proposed. We focus on the implementation of a known quantum-inspired classifier based on Helstrom state discrimination showing its connection with support vector machines and how to make the classification more efficient in terms of space and time acting on quantum encoding. In some cases, traditional methods provide better results. Moreover, we discuss the quantum-inspired nearest mean classification.
articolo
Leporini, Roberto; Pastorello, Davide
(2021). Support Vector Machines with Quantum State Discrimination [journal article - articolo]. In QUANTUM REPORTS. Retrieved from http://hdl.handle.net/10446/189662
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/189662
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