The Harrow–Hassidim–Lloyd (HHL) algorithm is a quantum algorithm for numerically solving a system of linear equations, designed by Aram Harrow, Avinatan Hassidim, and Seth Lloyd. …

In this section, we introduce the Harrow-Hassidim-Lloyd (HHL) algorithm, one of the most important applications of the quantum phase estimation algorithm, which is a fast “solving” …

Aug 28, 2020 · Explain how HHL is used in quantum machine learning models, and how it enables quantum speedup. Briefly discuss the remaining challenges ahead for HHL-based …

Jan 29, 2021 · An extension of HHL has been developed that efficiently solves the full-time evolution under sparse linear differential equations on a quantum computer. This clearly has …

Aug 20, 2021 · Harrow-Hassidim-Lloyd (HHL) quantum algorithm, which can solve Linear System Problems with exponential speed-up over the classical method and is the basic of many …

In this paper, we detail the qubit evolution in Harrow-Hassidim-Lloyd (HHL) quantum algorithm analytically with a 4-qubit circuit as a numerical example. Although HHL examples are …

Sep 10, 2024 · We demonstrate the efficacy of our work by running our modified Hybrid HHL on Quantinuum System Model H-series trapped-ion quantum computers to solve different …

Aug 1, 2022 · This paper summarizes the optimization and improvement of HHL algorithm since it was proposed, and the application of HHL algorithm in machine learning, and discusses some …

The Harrow-Hassidim-Lloyd (HHL) algorithm represents a significant advancement in the field of quantum computing, offering the potential to solve certain types of linear systems …

Feb 3, 2023 · Using a quantum computer, the HHL algorithm can approximate a function of the solution vector x in logarithmic time with respect to n. Here we see that the time dependence …