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Quantum theory has shown its superiority in enhancing machine learning. However, facilitating quantum theory to enhance graph learning is in its infancy. This survey investigates the current advances in quantum graph learning (QGL) from…

机器学习 · 计算机科学 2023-02-03 Shuo Yu , Ciyuan Peng , Yingbo Wang , Ahsan Shehzad , Feng Xia , Edwin R. Hancock

Experimental quantum simulators have become large and complex enough that discovering new physics from the huge amount of measurement data can be quite challenging, especially when little theoretical understanding of the simulated model is…

量子物理 · 物理学 2020-12-08 Alexander Lidiak , Zhexuan Gong

Quantum machine learning (QML) has emerged as an innovative framework with the potential to uncover complex patterns by leveraging quantum systems ability to simulate and exploit high-dimensional latent spaces, particularly in learning…

量子物理 · 物理学 2025-04-08 Ziqing Guo , Alex Khan , Victor S. Sheng , Shabnam Jabeen , Ziwen Pan

We investigate quantum annealing with antiferromagnetic transverse interactions for the generalized Hopfield model with $k$-body interactions. The goal is to study the effectiveness of antiferromagnetic interactions, which were shown to…

统计力学 · 物理学 2019-06-20 Yuya Seki , Hidetoshi Nishimori

This paper is an introduction to diagrammatic methods for representing quantum processes and quantum computing. We review basic notions for quantum information and quantum computing. We discuss topological diagrams and some issues about…

量子物理 · 物理学 2015-06-19 Louis H. Kauffman , Samuel J. Lomonaco

Strongly correlated materials host a rich variety of exotic quantum phases but remain challenging to solve due to strong interactions. We introduce the Neural Transformer Backflow (NTB) framework, a powerful neural-network ansatz formulated…

强关联电子 · 物理学 2025-10-20 Lixing Zhang , Di Luo

Within the framework of an exactly solvable model, which takes into account the interaction of fluctuating modes with equal and opposite momenta, we consider phase diagrams in systems with coupled scalar order parameters. We show that, in…

凝聚态物理 · 物理学 2009-10-31 D. Nicolaides , A. A. Lisyansky

We introduce a machine learning model, the q-CNN model, sharing key features with convolutional neural networks and admitting a tensor network description. As examples, we apply q-CNN to the MNIST and Fashion MNIST classification tasks. We…

机器学习 · 计算机科学 2021-03-23 Vassilis Anagiannis , Miranda C. N. Cheng

Quantum field theory (QFT) for interacting many-electron systems is fundamental to condensed matter physics, yet achieving accurate solutions confronts computational challenges in managing the combinatorial complexity of Feynman diagrams,…

高能物理 - 理论 · 物理学 2025-07-21 Pengcheng Hou , Tao Wang , Daniel Cerkoney , Xiansheng Cai , Zhiyi Li , Youjin Deng , Lei Wang , Kun Chen

We present a detailed study of the finite-size one-dimensional quantum XY chain in a transverse field in the presence of boundary fields coupled with the order-parameter spin operator. We consider fields located at the chain boundaries that…

统计力学 · 物理学 2025-09-30 Aldo Coraggio , Andrea Pelissetto

Motivated by an exact mapping between equilibrium properties of a 1-dimensional chain of quantum Ising spins in a transverse field (the transverse field Ising (TFI) model) and a 2-dimensional classical array of particles in double-well…

斑图形成与孤子 · 物理学 2024-08-12 Mithun Thudiyangal , Panayotis G. Kevrekidis , Avadh Saxena , Alan R. Bishop

Entanglement of a quantum system depends upon relative phase in complicated ways, which no single measurement can reflect. Because of this, entanglement witnesses are necessarily limited in applicability and/or utility. We propose here a…

量子物理 · 物理学 2017-02-07 E. C. Behrman , R. E. F. Bonde , J. E. Steck , J. F. Behrman

We quantitatively analyze the dynamics of the quantum phase distribution associated with the reduced density matrix of a system, as the system evolves under the influence of its environment with an energy-preserving quantum nondemolition…

量子物理 · 物理学 2009-11-13 Subhashish Banerjee , Joyee Ghosh , R. Ghosh

Quantum machine learning QML algorithms promise to deliver near-term, applicable quantum computation on noisy, intermediate-scale systems. While most of these algorithms leverage quantum circuits for generic applications, a recent set of…

量子物理 · 物理学 2024-08-28 Rodrigo Araiza Bravo , Jorge Garcia Ponce , Hong-ye Hu , Susanne F. Yelin

We study the characterization of multipartite entanglement for the random states of an $n$-qbit system. Unable to solve the problem exactly we generalize it, changing complex numbers into real vectors with $N_c$ components (the original…

量子物理 · 物理学 2015-12-23 P. Facchi , G. Florio , G. Parisi , S. Pascazio , A. Scardicchio

QCD-based thermodynamics at zero and finite quark chemical potential is studied using an extended Nambu and Jona-Lasinio approach in which quarks couple simultaneously to the chiral condensate and to a background temporal gauge field…

核理论 · 物理学 2007-05-23 Claudia Ratti , Michael A. Thaler , Wolfram Weise

Machine Learning (ML) has been widely applied across numerous domains due to its ability to automatically identify informative patterns from data for various tasks. The availability of large-scale data and advanced computational power…

We propose to use the complex quantum dynamics of a massive particle in a non-quadratic potential to reconstruct an initial unknown motional quantum state. We theoretically show that the reconstruction can be efficiently done by measuring…

量子物理 · 物理学 2019-12-11 Talitha Weiss , Oriol Romero-Isart

To accurately study chemical reactions in the condensed phase or within enzymes, both a quantum-mechanical description and sufficient configurational sampling is required to reach converged estimates. Here, quantum mechanics/molecular…

化学物理 · 物理学 2022-10-05 Albert Hofstetter , Lennard Böselt , Sereina Riniker

There has been growing excitement over the possibility of employing artificial neural networks (ANNs) to gain new theoretical insight into the physics of quantum many-body problems. ``Interpretability'' remains a concern: can we understand…

无序系统与神经网络 · 物理学 2020-12-08 Yi Zhang , Paul Ginsparg , Eun-Ah Kim