Quantum error mitigation by hidden inverses protocol in superconducting quantum devices

التفاصيل البيبلوغرافية
العنوان: Quantum error mitigation by hidden inverses protocol in superconducting quantum devices
المؤلفون: Leyton-Ortega, Vicente, Majumder, Swarnadeep, Pooser, Raphael C.
سنة النشر: 2022
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: We present a method to improve the convergence of variational algorithms based on hidden inverses to mitigate coherent errors. In the context of error mitigation, this means replacing the on hardware implementation of certain Hermitian gates with their inverses. Doing so results in noise cancellation and a more resilient quantum circuit. This approach improves performance in a variety of two-qubit error models where the noise operator also inverts with the gate inversion. We apply the mitigation scheme on superconducting quantum processors running the variational quantum eigensolver (VQE) algorithm to find the H$_{\rm 2}$ ground-state energy. When implemented on superconducting hardware we find that the mitigation scheme effectively reduces the energy fluctuations in the parameter learning path in VQE, reducing the number of iterations for a converged value. We also provide a detailed numerical simulation of VQE performance under different noise models and explore how hidden inverses \& randomized compiling affect the underlying loss landscape of the learning problem. These simulations help explain our experimental hardware outcomes, helping to connect lower-level gate performance to application-specific behavior in contrast to metrics like fidelity which often do not provide an intuitive insight into observed high-level performance.
Comment: 16 pages, 6 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2204.12407
رقم الأكسشن: edsarx.2204.12407
قاعدة البيانات: arXiv