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We propose a generalized Lanczos method to generate the many-body basis states of quantum lattice models using tensor-network states (TNS). The ground-state wave function is represented as a linear superposition composed from a set of TNS…

强关联电子 · 物理学 2022-10-19 Rui-Zhen Huang , Hai-Jun Liao , Zhi-Yuan Liu , Hai-Dong Xie , Zhi-Yuan Xie , Hui-Hai Zhao , Jing Chen , Tao Xiang

We introduce a tensor network method for approximating thermal equilibrium states of quantum many-body systems at low temperatures. Whereas the usual approach starts from infinite temperature and evolves the state in imaginary time (toward…

量子物理 · 物理学 2025-10-23 Denise Cocchiarella , Mari Carmen Bañuls

Tensor networks (TNs) are one of the best available tools to study many-body quantum systems. TNs are particularly suitable for one-dimensional local Hamiltonians, while their performance for generic geometries is mainly limited by two…

量子物理 · 物理学 2026-04-08 Apimuk Sornsaeng , Itai Arad , Dario Poletti

Quantum computing offers potential solutions for finding ground states in condensed-matter physics and chemistry. However, achieving effective ground state preparation is also computationally hard for arbitrary Hamiltonians. It is necessary…

Identifying variational wave functions that efficiently parametrize the physically relevant states in the exponentially large Hilbert space is one of the key tasks towards solving the quantum many-body problem. Powerful tools in this…

量子物理 · 物理学 2019-04-19 Lorenzo Pastori , Raphael Kaubruegger , Jan Carl Budich

Variational methods have proven to be excellent tools to approximate ground states of complex many body Hamiltonians. Generic tools like neural networks are extremely powerful, but their parameters are not necessarily physically motivated.…

强关联电子 · 物理学 2022-03-04 Agnes Valenti , Eliska Greplova , Netanel H. Lindner , Sebastian D. Huber

We present a novel approach for improving the design of ansatzes in Quantum Generative Adversarial Networks (qGANs) by leveraging Large Language Models (LLMs). By combining the strengths of LLMs with qGANs, our approach iteratively refines…

量子物理 · 物理学 2025-03-18 Kento Ueda , Atsushi Matsuo

We investigate how the stabilizer formalism, in particular highly-entangled stabilizer states, can be used to describe the emergence of many-body shape collectivity from individual constituents, in a symmetry-preserving and classically…

量子物理 · 物理学 2025-12-04 Caroline E. P. Robin

Deep neural networks can represent very different sorts of functions, including complex quantum many-body states. Tensor networks can also represent these states, have more structure and are easier to optimize. However, they can be…

强关联电子 · 物理学 2026-04-22 Miha Srdinšek , Xavier Waintal

We introduce an adaptive-weighted tree tensor network, for the study of disordered and inhomogeneous quantum many-body systems. This ansatz is assembled on the basis of the random couplings of the physical system with a procedure that…

无序系统与神经网络 · 物理学 2022-06-07 Giovanni Ferrari , Giuseppe Magnifico , Simone Montangero

Generative modeling, which learns joint probability distribution from data and generates samples according to it, is an important task in machine learning and artificial intelligence. Inspired by probabilistic interpretation of quantum…

统计力学 · 物理学 2018-07-20 Zhao-Yu Han , Jun Wang , Heng Fan , Lei Wang , Pan Zhang

Solving ground states of quantum many-body systems has been a long-standing problem in condensed matter physics. Here, we propose a new unsupervised machine learning algorithm to find the ground state of a general quantum many-body system…

无序系统与神经网络 · 物理学 2019-06-27 Jiaxin Wu , Wenjuan Zhang

Text-to-Speech (TTS) models can generate natural, human-like speech across multiple languages by transforming phonemes into waveforms. However, multilingual TTS remains challenging due to discrepancies in phoneme vocabularies and variations…

声音 · 计算机科学 2025-04-14 Haowei Lou , Hye-young Paik , Sheng Li , Wen Hu , Lina Yao

In this paper, we demonstrate the expressibility of artificial neural networks (ANNs) in quantum many-body physics by showing that a feed-forward neural network with a small number of hidden layers can be trained to approximate with high…

强关联电子 · 物理学 2018-01-17 Zi Cai , Jinguo Liu

We propose a hybrid variational framework that enhances Neural Quantum States (NQS) with a Normalising Flow-based sampler to improve the expressivity and trainability of quantum many-body wavefunctions. Our approach decouples the sampling…

量子物理 · 物理学 2025-06-17 Vishal S. Ngairangbam , Michael Spannowsky , Timur Sypchenko

Variational quantum algorithms have been a promising candidate to utilize near-term quantum devices to solve real-world problems. The powerfulness of variational quantum algorithms is ultimately determined by the expressiveness of the…

量子物理 · 物理学 2023-05-23 Xiaokai Hou , Qingyu Li , Man-Hong Yung , Xusheng Xu , Zizhu Wang , Chu Guo , Xiaoting Wang

We develop a general framework to calculate the many-body density of states (DOS) of isolated and interacting quantum systems. Based on the generalized coherent state formalism and the Simon-Lieb bounds for a quantum partition function, our…

强关联电子 · 物理学 2026-04-17 Deniz Coskun , R. Chitra

Efficient methods to access the entanglement of a quantum many-body state, where the complexity generally scales exponentially with the system size $N$, have long a concern. Here we propose the Schmidt tensor network state (Schmidt TNS)…

量子物理 · 物理学 2023-07-18 Peng-Fei Zhou , Ying Lu , Jia-Hao Wang , Shi-Ju Ran

The optimal use of quantum and classical computational techniques together is important to address problems that cannot be easily solved by quantum computations alone. This is the case of the ground state problem for quantum many-body…

量子物理 · 物理学 2022-05-03 Patrick Huembeli , Giuseppe Carleo , Antonio Mezzacapo

The utilization of artificial neural networks for representing quantum many-body wave functions has garnered significant attention, with enormous recent progress for both ground states and non-equilibrium dynamics. However, quantifying…

量子物理 · 物理学 2024-06-12 Fabian Ballar Trigueros , Tiago Mendes-Santos , Markus Heyl
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