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  1. Article

    Open Access

    Practical Hamiltonian learning with unitary dynamics and Gibbs states

    We study the problem of learning the parameters for the Hamiltonian of a quantum many-body system, given limited access to the system. In this work, we build upon recent approaches to Hamiltonian learning via ...

    Andi Gu, Lukasz Cincio, Patrick J. Coles in Nature Communications (2024)

  2. Article

    Open Access

    Out-of-distribution generalization for learning quantum dynamics

    Generalization bounds are a critical tool to assess the training data requirements of Quantum Machine Learning (QML). Recent work has established guarantees for in-distribution generalization of quantum neural...

    Matthias C. Caro, Hsin-Yuan Huang, Nicholas Ezzell, Joe Gibbs in Nature Communications (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)

  6. Article

    Open Access

    Variational consistent histories as a hybrid algorithm for quantum foundations

    Although quantum computers are predicted to have many commercial applications, less attention has been given to their potential for resolving foundational issues in quantum mechanics. Here we focus on quantum ...

    Andrew Arrasmith, Lukasz Cincio, Andrew T. Sornborger in Nature Communications (2019)

  7. Article

    Open Access

    Numerical approach for unstructured quantum key distribution

    Quantum key distribution (QKD) allows for communication with security guaranteed by quantum theory. The main theoretical problem in QKD is to calculate the secret key rate for a given protocol. Analytical form...

    Patrick J. Coles, Eric M. Metodiev, Norbert Lütkenhaus in Nature Communications (2016)

  8. No Access

    Article

    Equivalence of wave–particle duality to entropic uncertainty

    Interferometers capture a basic mystery of quantum mechanics: a single particle can exhibit wave behaviour, yet that wave behaviour disappears when one tries to determine the particle’s path inside the interfe...

    Patrick J. Coles, Jedrzej Kaniewski, Stephanie Wehner in Nature Communications (2014)