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Quantum advantage in variational Bayes inference

Hideyuki Miyahara, V. Roychowdhury·July 7, 2022·DOI: 10.1073/pnas.2212660120
MathematicsPhysicsComputer ScienceMedicine

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Abstract

Significance Quantum machine learning (QML) is an emerging research field that deals with quantum algorithms for data analysis. It is hoped that QML will yield practical demonstrations of quantum advantage by exploiting the emerging noisy intermediate-scale quantum (NISQ) devices, which cannot yet implement large-scale quantum algorithms. Most of the proposed QML frameworks, such as quantum principal component analysis, quantum circuits, and quantum recommendation systems, provide potential quantum speedups of corresponding classical algorithms. These algorithms, thus, do not improve the quality of the solutions, and QML algorithms that outperform classical ML schemes are rare or nonexistent. This paper shows an example of how quantum mechanics can lead to better solutions for machine learning (ML) problems without incurring increased time complexity overheads.

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