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Bayesian Parameter Shift Rule enhances VQE gradient estimation

Researchers have introduced a Bayesian variant of the parameter shift rule (PSR) for variational quantum eigensolvers (VQEs). This new method utilizes Gaussian processes to estimate objective function gradients, offering flexibility in gradient estimation from arbitrary observation points and incorporating uncertainty information. The Bayesian PSR can accelerate optimization in stochastic gradient descent by reusing previous observations and reducing observation costs through a concept called gradient confident region (GradCoRe). Numerical experiments indicate that this approach significantly speeds up VQE optimization compared to existing methods. AI

影响 Introduces a novel technique for optimizing quantum algorithms, potentially accelerating research in quantum machine learning.

排序理由 This is a research paper detailing a new method for gradient estimation in variational quantum eigensolvers. [lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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Bayesian Parameter Shift Rule enhances VQE gradient estimation

报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Samuele Pedrielli, Christopher J. Anders, Lena Funcke, Karl Jansen, Kim A. Nicoli, Shinichi Nakajima ·

    Bayesian Parameter Shift Rule in Variational Quantum Eigensolvers

    arXiv:2502.02625v2 Announce Type: replace Abstract: Parameter shift rules (PSRs) are key techniques for efficient gradient estimation in variational quantum eigensolvers (VQEs). In this paper, we propose its Bayesian variant, where Gaussian processes with appropriate kernels are …