A Modified Depolarization Approach for Efficient Quantum Machine Learning

Bikram Khanal and Pablo Rivas ()
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Bikram Khanal: School of Engineering and Computer Science, Department of Computer Science, Baylor University, Waco, TX 76798, USA
Pablo Rivas: School of Engineering and Computer Science, Department of Computer Science, Baylor University, Waco, TX 76798, USA

Mathematics, 2024, vol. 12, issue 9, 1-17

Abstract: Quantum Computing in the Noisy Intermediate-Scale Quantum (NISQ) era has shown promising applications in machine learning, optimization, and cryptography. Despite these progresses, challenges persist due to system noise, errors, and decoherence. These system noises complicate the simulation of quantum systems. The depolarization channel is a standard tool for simulating a quantum system’s noise. However, modeling such noise for practical applications is computationally expensive when we have limited hardware resources, as is the case in the NISQ era. This work proposes a modified representation for a single-qubit depolarization channel. Our modified channel uses two Kraus operators based only on X and Z Pauli matrices. Our approach reduces the computational complexity from six to four matrix multiplications per channel execution. Experiments on a Quantum Machine Learning (QML) model on the Iris dataset across various circuit depths and depolarization rates validate that our approach maintains the model’s accuracy while improving efficiency. This simplified noise model enables more scalable simulations of quantum circuits under depolarization, advancing capabilities in the NISQ era.

Keywords: NISQ; depolarization channel; quantum machine learning; circuit depth optimization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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