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The flow matching has rapidly become a dominant paradigm in classical generative modeling, offering an efficient way to interpolate between two complex distributions. We extend this idea to the quantum realm and introduce the Quantum Flow…

Quantum Physics · Physics 2026-02-03 Zidong Cui , Pan Zhang , Ying Tang

This study established a quantum-classical hybrid framework that integrates quantum computing paradigm with meshfree finite particle method. By harnessing quantum superposition and entanglement, it hybridized the critical computational…

Fluid Dynamics · Physics 2025-09-16 Yudong Li , Wenkui Shi , Yan Li , Chunfa Wang , Ling Tao , Zhuojia Fu , Moubin Liu , Zhiqiang Feng

We report the quantum computing of reacting flows by simulating the Hamiltonian dynamics. The scalar transport equation for reacting flows is transformed into a Hamiltonian system, mapping the dissipative and non-Hermitian problem in…

Fluid Dynamics · Physics 2024-07-30 Zhen Lu , Yue Yang

Fluid simulations, especially at high Reynolds numbers, are computationally expensive on classical computers, making them promising application targets for quantum computing. Recent studies have combined the lattice Boltzmann method (LBM)…

Quantum Physics · Physics 2026-05-28 Kazumasa Ueno , Keita Kanno , Yasunori Lee

Molecular simulations are widely regarded as leading candidates to demonstrate quantum advantage--defined as the point at which quantum methods surpass classical approaches in either accuracy or scale. Yet the qubit counts and error rates…

Recent years have seen great progress in quantum computing, providing opportunities to overcome computational bottlenecks in many scientific applications. In particular, the intersection of computational fluid dynamics (CFD) and quantum…

Quantum Physics · Physics 2025-09-26 R. Au-Yeung , V. M. Kendon , S. J. Lind

Despite the pursuit of quantum advantages in various applications, the power of quantum computers in neural network computations has mostly remained unknown, primarily due to a missing link that effectively designs a neural network model…

Quantum Physics · Physics 2021-06-25 Weiwen Jiang , Jinjun Xiong , Yiyu Shi

This study further explores reformulating power flow (PF) analysis as a discrete combinatorial optimization problem, proposed in our earlier study using the Adiabatic Quantum Power Flow (AQPF) algorithm, which can be executed on Ising…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Zeynab Kaseb , Matthias Moller , Pedro P. Vergara , Peter Palensky

We introduce a unitary coupled-cluster (UCC) ansatz termed $k$-UpCCGSD that is based on a family of sparse generalized doubles (D) operators which provides an affordable and systematically improvable unitary coupled-cluster wavefunction…

Quantum Physics · Physics 2019-01-07 Joonho Lee , William J. Huggins , Martin Head-Gordon , K. Birgitta Whaley

Fluid flow simulations marshal our most powerful computational resources. In many cases, even this is not enough. Quantum computers provide an opportunity to speed up traditional algorithms for flow simulations. We show that lattice-based…

In classical computational chemistry, the coupled-cluster ansatz is one of the most commonly used $ab~initio$ methods, which is critically limited by its non-unitary nature. The unitary modification as an ideal solution to the problem is,…

Quantum Physics · Physics 2017-03-01 Yangchao Shen , Xiang Zhang , Shuaining Zhang , Jing-Ning Zhang , Man-Hong Yung , Kihwan Kim

This paper introduces the first quantum computing framework for Stochastic Quantum Power Flow (SQPF) analysis in power systems. The proposed method leverages quantum states to encode power flow distributions, enabling the use of Quantum…

Quantum Physics · Physics 2025-01-13 Brynjar Sævarsson , Hjörtur Jóhannsson , Spyros Chatzivasileiadis

The advent of hybrid computing platforms consisting of quantum processing units integrated with conventional high-performance computing brings new opportunities for algorithm design. By strategically offloading select portions of the…

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…

Quantum Physics · Physics 2024-09-09 Junyu Liu , Han Zheng , Masanori Hanada , Kanav Setia , Dan Wu

We present OBDF-SQD, a hybrid quantum-classical method that combines one-body downfolding~(OBDF) based on one-body M\o{}ller--Plesset second-order perturbation theory (OBMP2) with sample-based quantum diagonalization~(SQD) for use in…

Quantum Physics · Physics 2026-05-12 Thien Ngoc Tran , Lan Nguyen Tran

Quantum entanglement serves as a valuable resource for many important quantum operations. A pair of entangled qubits can be shared between two agents by first preparing a maximally entangled qubit pair at one agent, and then sending one of…

Quantum Physics · Physics 2018-06-06 Liangzhong Ruan , Wenhan Dai , Moe Z. Win

Density functional theory (DFT) is a fundamental method for simulating quantum chemical properties, but it remains expensive due to the iterative self-consistent field (SCF) process required to solve the Kohn-Sham equations. Recently, deep…

Computational Physics · Physics 2025-10-23 Seongsu Kim , Nayoung Kim , Dongwoo Kim , Sungsoo Ahn

The effective deployment and application of advanced methodologies for quantum chemistry is inherently linked to the optimal usage of emerging and highly diversified computational resources. This paper examines the synergistic utilization…

We introduce Qlustering, a quantum-inspired algorithm for unsupervised learning that leverages network-based quantum transport to perform data clustering. In contrast to traditional distance-based methods, Qlustering treats the steady-state…

Quantum Physics · Physics 2025-10-28 Shmuel Lorber , Yonatan Dubi

Quantum chemistry is a promising application of future quantum computers, but the requirements on qubit count and other resources suggest that modular computing architectures will be required. We introduce an implementation of a quantum…

Quantum Physics · Physics 2026-01-26 Tian Xue , Jacob P. Covey , Matthew Otten