# Experimental Quantum Computing to Solve Network DC Power Flow Problem

arXiv: https://arxiv.org/abs/2106.12032 · HTML: https://mlsanity.com/paper/2106.12032/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 22 Jun 2021.

## Built on by (most cited first, 1 of 1)

- [Quantum Power Flows: From Theory to Practice](https://mlsanity.com/paper/2211.05728/) (2022)

## Abstract (arXiv)

Practical quantum computing applications to power grids are nonexistent at the moment. This paper investigates how a fundamental grid problem, namely DC power flow, can be solved using quantum computing. Power flow is the most widely used power system analysis technique, either as a stand-alone application or embedded in other applications; therefore, its fast and accurate solution is of utmost significance for grid operators. We base our studies on the Harrow-Hassidim-Lloyd (HHL) quantum algorithm, which has a proven theoretical speedup over classical algorithms in solving a system of linear equations. Practical studies on a quantum computer are conducted using the WSCC 9-bus system.