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  1. Article

    Open Access

    Exponential concentration in quantum kernel methods

    Kernel methods in Quantum Machine Learning (QML) have recently gained significant attention as a potential candidate for achieving a quantum advantage in data analysis. Among other attractive properties, when ...

    Supanut Thanasilp, Samson Wang, M. Cerezo, Zoë Holmes in Nature Communications (2024)

  2. Article

    Open Access

    Quantum algorithms for geologic fracture networks

    Solving large systems of equations is a challenge for modeling natural phenomena, such as simulating subsurface flow. To avoid systems that are intractable on current computers, it is often necessary to neglec...

    Jessie M. Henderson, Marianna Podzorova, M. Cerezo, John K. Golden in Scientific Reports (2023)

  3. Article

    Open Access

    Generalization in quantum machine learning from few training data

    Modern quantum machine learning (QML) methods involve variationally optimizing a parameterized quantum circuit on a training data set, and subsequently making predictions on a testing data set (i.e., generaliz...

    Matthias C. Caro, Hsin-Yuan Huang, M. Cerezo, Kunal Sharma in Nature Communications (2022)

  4. Article

    Open Access

    Noise-induced barren plateaus in variational quantum algorithms

    Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise on NISQ devices places fundamental limitations...

    Samson Wang, Enrico Fontana, M. Cerezo, Kunal Sharma, Akira Sone in Nature Communications (2021)

  5. Article

    Open Access

    Cost function dependent barren plateaus in shallow parametrized quantum circuits

    Variational quantum algorithms (VQAs) optimize the parameters θ of a parametrized quantum circuit V(θ) to minimize a cost function C. While VQAs may enable practical applications of noisy quantum computers, they ...

    M. Cerezo, Akira Sone, Tyler Volkoff, Lukasz Cincio in Nature Communications (2021)