论文标题

量子力量流:从理论到实践

Quantum Power Flows: From Theory to Practice

论文作者

Liu, Junyu, Zheng, Han, Hanada, Masanori, Setia, Kanav, Wu, Dan

论文摘要

气候变化已成为现代社会可持续发展的最大挑战之一。低密度的可再生能源极大地使在线优化和控制过程变得复杂,在线现代高级计算技术(特别是量子计算)具有重要的帮助潜力。在本文中,我们讨论了量子计算算法在最先进的智能网格问题上的应用。我们建议通过使用Harrow-Hassidim-lloyd(HHL)算法来实现潜在的,指数的量子加速,用于稀疏的矩阵反转。但是,算法的实际实现受量子电路的噪声,量子随机访问记忆(QRAM)的实现的硬度以及所需量子电路的深度的限制。我们从最新的功率流算法(包括混合声子 - 跨transmon Systems的QRAM要求)和HHL中使用的明确门计数中的硬件和软件需求基准,包括QRAM的要求。我们还通过各种量子电路开发了功率流的近期算法,并为6 QUAT的实验实验具有截断的功率流。

Climate change is becoming one of the greatest challenges to the sustainable development of modern society. Renewable energies with low density greatly complicate the online optimization and control processes, 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 sparse matrix inversions in 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 real experiments for 6 qubits with a truncated version of power flows.

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