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We discuss an aspect of neural networks for the purpose of phase transition detection. To this end, we first train the neural network by feeding Ising/Potts configurations with labels of temperature so that it can predict the temperature of…

Disordered Systems and Neural Networks · Physics 2019-08-23 Kouji Kashiwa , Yuta Kikuchi , Akio Tomiya

The ability to manipulate single atoms has opened up the door to constructing interesting and useful quantum structures from the ground up. On the one hand, nanoscale arrangements of magnetic atoms are at the heart of future quantum…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 R. Toskovic , R. van den Berg , A. Spinelli , I. S. Eliens , B. van den Toorn , B. Bryant , J. -S. Caux , A. F. Otte

Characterizing quantum many-body phase structure is a major goal for quantum simulation. Here, we employ an unsupervised learning approach based on diffusion maps to learn phase transitions in bosonic lattice systems described by…

Computational Physics · Physics 2026-05-04 Bihui Zhu

With the rapid progress in quantum hardware and software, the need for verification of quantum systems becomes increasingly crucial. While model checking is a dominant and very successful technique for verifying classical systems, its…

Data Structures and Algorithms · Computer Science 2025-03-07 Xin Hong , Dingchao Gao , Sanjiang Li , Shenggang Ying , Mingsheng Ying

A promising application of neural-network quantum states is to describe the time dynamics of many-body quantum systems. To realize this idea, we employ neural-network quantum states to approximate the implicit midpoint rule method, which…

Disordered Systems and Neural Networks · Physics 2022-01-26 Irene López Gutiérrez , Christian B. Mendl

Quantum many-body control is among most challenging problems in quantum science, due to computational complexity of related underlying problems. We propose an efficient approach for solving a class of control problems for many-body quantum…

Quantum Physics · Physics 2024-02-21 I. A. Luchnikov , M. A. Gavreev , A. K. Fedorov

Demonstrating the ability of existing quantum platforms to perform certain computational tasks intractable to classical computers represents a cornerstone in quantum computing. Despite the growing number of such proposed "quantum supreme"…

We study the performance of quantum annealing for the simple $p$-body infinite-range ferromagnetic Ising model. In particular, we generalize the transverse antiferromagnetic interactions proposed by Seki and Nishimori as a quantum driver to…

Quantum Physics · Physics 2012-10-11 Beatriz Seoane , Hidetoshi Nishimori

We explore the evolution of a strongly interacting dissipative quantum Ising spin chain that is driven by a slowly varying time-dependent transverse field. This system possesses an extensive number of instantaneous (adiabatic) stationary…

Quantum Physics · Physics 2025-09-16 Paulo J. Paulino , Stefan Teufel , Federico Carollo , Igor Lesanovsky

Artificial neural networks have been successfully incorporated into variational Monte Carlo method (VMC) to study quantum many-body systems. However, there have been few systematic studies of exploring quantum many-body physics using deep…

Strongly Correlated Electrons · Physics 2020-02-26 Li Yang , Zhaoqi Leng , Guangyuan Yu , Ankit Patel , Wen-Jun Hu , Han Pu

Deep quantum neural networks may provide a promising way to achieve quantum learning advantage with noisy intermediate scale quantum devices. Here, we use deep quantum feedforward neural networks capable of universal quantum computation to…

Quantum Physics · Physics 2020-08-14 Zidu Liu , L. -M. Duan , Dong-Ling Deng

We propose to use the steered quantum coherence (SQC) as a signature of quantum phase transitions (QPTs). By considering various spin chain models, including the transverse-field Ising model, \textit{XY} model, and \textit{XX} model with…

Quantum Physics · Physics 2020-03-09 Ming-Liang Hu , Yun-Yue Gao , Heng Fan

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…

Disordered Systems and Neural Networks · Physics 2019-06-27 Jiaxin Wu , Wenjuan Zhang

We employ a nuclear magnetic resonance (NMR) quantum information processor to simulate the ground state of an XXZ spin chain and measure its NMR analog of entanglement, or pseudo-entanglement. The observed pseudo-entanglement for a…

Quantum Physics · Physics 2011-07-26 Jingfu Zhang , Tzu-Chieh Wei , Raymond Laflamme

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…

Quantum Physics · Physics 2020-12-08 Alexander Lidiak , Zhexuan Gong

Quantum many-body systems are emerging as key elements in the quest for quantum-based technologies and in the study of fundamental physics. In this study, we address the challenge of achieving fast and high-fidelity evolutions across…

Quantum Physics · Physics 2024-07-31 Hilario Espinós , Loris Maria Cangemi , Amikam Levy , Ricardo Puebla , Erik Torrontegui

It is known that arrays of trapped ions can be used to efficiently simulate a variety of many-body quantum systems. Here, we show how it is possible to build a model representing a spin chain interacting with bosons which is exactly…

Quantum Physics · Physics 2010-06-01 Gian Luca Giorgi , Simone Paganelli , Fernando Galve

Over the past several years, there have been many studies demonstrating the ability of deep neural networks to identify phase transitions in many physical systems, notably in classical statistical physics systems. One often finds that the…

Variational quantum calculations have borrowed many tools and algorithms from the machine learning community in the recent years. Leveraging great expressive power and efficient gradient-based optimization, researchers have shown that trial…

Disordered Systems and Neural Networks · Physics 2024-08-19 Matija Medvidović , Javier Robledo Moreno

The quantum phase transition (QPT) of the one-dimensional (1D) quantum compass model in a transverse magnetic field is studied in this paper. An exact solution is obtained by using an extended Jordan and Wigner transformation to the…

Quantum Physics · Physics 2009-11-21 Ke-Wei Sun , Qing-Hu Chen
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