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Practical applicability of quantum optimisation on near term devices is constrained by limited qubit counts and hardware noise, which restricts the scalability of quantum optimisation algorithms for combinatorial problems. The simulation of…

量子物理 · 物理学 2026-05-01 Namasi G Sankar , Georgios Miliotis , Simon Caton

We introduce a new quantum optimization algorithm for dense Linear Programming problems, which can be seen as the quantization of the Interior Point Predictor-Corrector algorithm \cite{Predictor-Corrector} using a Quantum Linear System…

量子物理 · 物理学 2020-10-15 P. A. M. Casares , M. A. Martin-Delgado

Quantum computation promises to advance a wide range of computational tasks. However, current quantum hardware suffers from noise and is too small for error correction. Thus, accurately utilizing noisy quantum computers strongly relies on…

最优化与控制 · 数学 2024-12-16 Friedrich Wagner , Daniel J. Egger , Frauke Liers

Interior Point Methods (IPM) rely on the Newton method for solving systems of nonlinear equations. Solving the linear systems which arise from this approach is the most computationally expensive task of an interior point iteration. If, due…

最优化与控制 · 数学 2018-06-27 J. Gondzio , F. N. C. Sobral

This paper introduces a noise-aware distributed Quantum Approximate Optimization Algorithm (QAOA) tailored for execution on near-term quantum hardware. Leveraging a distributed framework, we address the limitations of current Noisy…

量子物理 · 物理学 2024-08-12 Kuan-Cheng Chen , Xiatian Xu , Felix Burt , Chen-Yu Liu , Shang Yu , Kin K Leung

Alternative Current Optimal Power Flow (AC-OPF) is essential for efficient power system planning and real-time operation but remains an NP-hard and non-convex optimization problem with significant computational challenges. This paper…

系统与控制 · 电气工程与系统科学 2025-03-03 Ze Hu , Ziqing Zhu , Linghua Zhu , Xiang Wei , Siqi Bu , Ka Wing Chan

Quantum error mitigation (QEM) is vital for noisy intermediate-scale quantum (NISQ) devices. While most conventional QEM schemes assume discrete gate-based circuits with noise appearing either before or after each gate, the assumptions are…

量子物理 · 物理学 2021-03-12 Jinzhao Sun , Xiao Yuan , Takahiro Tsunoda , Vlatko Vedral , Simon C. Bejamin , Suguru Endo

We develop an open-source, end-to-end software (named QHDOPT), which can solve nonlinear optimization problems using the quantum Hamiltonian descent (QHD) algorithm. QHDOPT offers an accessible interface and automatically maps tasks to…

量子物理 · 物理学 2024-09-06 Samuel Kushnir , Jiaqi Leng , Yuxiang Peng , Lei Fan , Xiaodi Wu

Solving constrained nonlinear programs (NLPs) is of great importance in various domains such as power systems, robotics, and wireless communication networks. One widely used approach for addressing NLPs is the interior point method (IPM).…

最优化与控制 · 数学 2024-10-22 Xi Gao , Jinxin Xiong , Akang Wang , Qihong Duan , Jiang Xue , Qingjiang Shi

In addition to readout errors, two-qubit gate noise is the main challenge for complex quantum algorithms on noisy intermediate-scale quantum (NISQ) computers. These errors are a significant challenge for making accurate calculations for…

量子物理 · 物理学 2020-08-05 Andre He , Benjamin Nachman , Wibe A. de Jong , Christian W. Bauer

In this paper, a novel quadratic convex optimal power flow model, namely, MDOPF, is proposed to determine the optimal dispatches of distributed generators. Based on the results of MDOPF, two price mechanisms, distribution locational…

系统与控制 · 电气工程与系统科学 2020-09-07 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

Recently, the authors of this paper proposed a method for the Harmonic Power-Flow (HPF) calculus in polyphase grids with widespread deployment of Converter-Interfaced Distributed Energy Resources (CIDERs). The HPF problem was formulated by…

系统与控制 · 电气工程与系统科学 2024-03-20 Antonio Di Pasquale , Johanna Kristin Maria Becker , Andreas Martin Kettner , Mario Paolone

Nonconvexity induced by the nonlinear AC power flow equations challenges solution algorithms for AC optimal power flow (OPF) problems. While significant research efforts have focused on reliably computing high-quality OPF solutions, it is…

最优化与控制 · 数学 2020-02-18 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

In the last fifteen years a significant progress was achieved by considering an entropic relaxation of the classical multi-partite optimal transport problem (MPOTP). The entropic relaxation gives rise to the rescaling problem of a given…

最优化与控制 · 数学 2025-11-12 Shmuel Friedland

Hybrid Quantum Neural Networks (HQNNs) offer promising potential of quantum computing while retaining the flexibility of classical deep learning. However, the limitations of Noisy Intermediate-Scale Quantum (NISQ) devices introduce…

量子物理 · 物理学 2025-05-07 Tasnim Ahmed , Alberto Marchisio , Muhammad Kashif , Muhammad Shafique

The quantum approximate optimization algorithm (QAOA) is an appealing proposal to solve NP problems on noisy intermediate-scale quantum (NISQ) hardware. Making NISQ implementations of the QAOA resilient to noise requires short ansatz…

Decoded Quantum Interferometry (DQI) is a recently proposed quantum optimization algorithm that exploits sparsity in the Fourier spectrum of objective functions, with the potential for exponential speedups over classical algorithms on…

量子物理 · 物理学 2026-03-09 Kaifeng Bu , Weichen Gu , Dax Enshan Koh , Xiang Li

The Quantum Approximate Optimization Algorithm (QAOA) has emerged as a promising approach for solving NP hard combinatorial optimization problems on noisy intermediate-scale quantum (NISQ) hardware. However, its performance is critically…

量子物理 · 物理学 2025-11-13 Rakesh Saini , Nora Mohamed , Saif Al-Kuwari , Ahmed Farouk

Given the limitations of current hardware, the theoretical gains promised by quantum computing remain unrealized across practical applications. But the gap between theory and hardware is closing, assisted by developments in quantum…

量子物理 · 物理学 2023-10-30 Elena R. Henderson , Harsha Nagarajan , Carleton Coffrin

Quantum computing hardware is affected by quantum noise that undermine the quality of results of an executed quantum program. Amongst other quantum noises, coherent error that caused by parameter drifting and miscalibration, remains…

硬件体系结构 · 计算机科学 2024-10-15 Xiangyu Ren , Junjie Wan , Zhiding Liang , Antonio Barbalace