Quantum Measurement Classification with Qudits

Diego H. Useche, Andres Giraldo-Carvajal, Hernan M. Zuluaga-Bucheli, Jose A. Jaramillo-Villegas, Fabio A. González

This paper presents a hybrid classical-quantum program for density estimation and supervised classification. The program is implemented as a quantum circuit in a high-dimensional quantum computer simulator. We show that the proposed quantum protocols allow to estimate probability density functions and to make predictions in a supervised learning manner. This model can be generalized to find expected values of density matrices in high-dimensional quantum computers. Experiments on various data sets are presented. Results show that the proposed method is a viable strategy to implement supervised classification and density estimation in a high-dimensional quantum computer.

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