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Quantum power flows: from theory to practice

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Author(s)
Liu, Junyu
•
Zheng, Han
•
Hanada, Masanori
•
Setia, Kanav
•
Wu, Dan
Date Issued
September 5, 2024
Journal
Quantum Machine Intelligence
Publisher
Springer International Publishing
Citation
Liu, J., Zheng, H., Hanada, M. et al. Quantum power flows: from theory to practice. Quantum Mach. Intell. 6, 55 (2024).
Version
Author's final manuscript
Abstract
The high-level integration of spatial-dispersed renewable energies can greatly enlarge future smart grid size and complicate system operations. Existing numerical methods based on classical computational oracles may be challenged to fulfill efficiency requirements for future smart grid evaluations, where modern advanced computational technologies, specifically quantum computing, have significant potential to help. In this paper, we discuss applications of quantum computing algorithms toward state-of-the-art smart grid problems. We suggest potential, exponential quantum speedup by the use of the Harrow-Hassidim-Lloyd (HHL) algorithms for solving sparse linear systems of equations in Newton’s method of power-flow problems. However, practical implementations of the algorithm are limited by the noise of quantum circuits, the hardness of realizations of quantum random access memories (QRAM), and the depth of the required quantum circuits. We benchmark the hardware and software requirements from the state-of-the-art power-flow algorithms, including QRAM requirements from hybrid phonon-transmon systems, and explicit gate counting used in HHL for explicit realizations. We also develop near-term algorithms of power flow by variational quantum circuits and implement physical experiments for 6 qubits with a truncated version of power flows.
MIT Department
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
https://hdl.handle.net/1721.1/159855
DOI of Published Version
https://doi.org/10.1007/s42484-024-00182-z
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