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We introduce an approach for performing quantum state reconstruction on systems of $n$ qubits using a machine-learning-based reconstruction system trained exclusively on $m$ qubits, where $m\geq n$. This approach removes the necessity of…

Finding suitable features has been an essential problem in computer vision. We focus on Restricted Boltzmann Machines (RBMs), which, despite their versatility, cannot accommodate transformations that may occur in the scene. As a result,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Mario Valerio Giuffrida , Sotirios A. Tsaftaris

An artificial neural network (ANN) with the restricted Boltzmann machine (RBM) architecture was recently proposed as a versatile variational quantum many-body wave function. In this work we provide physical insights into the performance of…

Disordered Systems and Neural Networks · Physics 2020-06-02 Artem Borin , Dmitry A. Abanin

Quantum state tomography, a process that reconstructs a quantum state from measurements on an ensemble of identically prepared copies, plays a crucial role in benchmarking quantum devices. However, brute-force approaches to quantum state…

In the context of real-space renormalization group methods, we propose a novel scheme for quantum systems defined on a D-dimensional lattice. It is based on a coarse-graining transformation that attempts to reduce the amount of entanglement…

Strongly Correlated Electrons · Physics 2015-06-25 Guifre Vidal

We investigate whether quantum annealers with select chip layouts can outperform classical computers in reinforcement learning tasks. We associate a transverse field Ising spin Hamiltonian with a layout of qubits similar to that of a deep…

Quantum Physics · Physics 2019-01-07 Daniel Crawford , Anna Levit , Navid Ghadermarzy , Jaspreet S. Oberoi , Pooya Ronagh

Boltzmann Machines constitute a class of neural networks with applications to image reconstruction, pattern classification and unsupervised learning in general. Their most common variants, called Restricted Boltzmann Machines (RBMs) exhibit…

Quantum Physics · Physics 2020-03-30 Lorenzo Rocutto , Claudio Destri , Enrico Prati

A restricted Boltzmann machine (RBM) is a two-layer neural network with shared weights and has been extensively studied for dimensionality reduction, data representation and recommendation systems in the literature. The traditional RBM…

Machine Learning · Computer Science 2026-05-27 Jiangsheng You , Chun-Yen Liu

Computing equilibrium states in condensed-matter many-body systems, such as solvated proteins, is a long-standing challenge. Lacking methods for generating statistically independent equilibrium samples in "one shot", vast computational…

Machine Learning · Statistics 2019-07-15 Frank Noé , Simon Olsson , Jonas Köhler , Hao Wu

Restricted Boltzmann machines (RBMs) and their extensions, called 'deep-belief networks', are powerful neural networks that have found applications in the fields of machine learning and artificial intelligence. The standard way to training…

Machine Learning · Computer Science 2018-10-25 Haik Manukian , Fabio L. Traversa , Massimiliano Di Ventra

A successful application of quantum annealing to machine learning is training restricted Boltzmann machines (RBM). However, many neural networks for vision applications are feedforward structures, such as multilayer perceptrons (MLP).…

Machine Learning · Computer Science 2023-03-23 Frances Fengyi Yang , Michele Sasdelli , Tat-Jun Chin

Considering recent advancements and successes in the development of efficient quantum algorithms for electronic structure calculations --- alongside impressive results using machine learning techniques for computation --- hybridizing…

Quantum Physics · Physics 2018-10-24 Rongxin Xia , Sabre Kais

A restricted Boltzmann machine (RBM) is a generative neural-network model with many novel applications such as collaborative filtering and acoustic modeling. An RBM lacks the capacity to retain memory, making it inappropriate for dynamic…

Machine Learning · Statistics 2018-05-01 Jefferson Hernandez , Andres G. Abad

Neural-network state representations of quantum many-body systems are attracting great attention and more rigorous quantitative analysis about their expressibility and complexity is warranted. Our analysis of the restricted Boltzmann…

Quantum Physics · Physics 2024-05-24 Ruizhi Pan , Charles W. Clark

Recently, quantum-state representation using artificial neural networks has started to be recognized as a powerful tool. However, due to the black-box nature of machine learning, it is difficult to analyze what machine learns or why it is…

Quantum Physics · Physics 2022-05-24 Yusuke Nomura

Inspired by biological molecular machines we explore the idea of an active quantum robot whose purpose is delaying decoherence. A conceptual model capable of partially protecting arbitrary logical qubit states against single physical qubit…

Quantum Physics · Physics 2021-09-08 Thiago Guerreiro

We study one dimensional models of diatomic molecules where both the electrons and nuclei are treated as quantum particles, going beyond the usual Born-Oppenheimer approximation. The continuous system is approximated by a grid which…

Strongly Correlated Electrons · Physics 2020-10-02 Mingru Yang , Steven R. White

We propose a Restricted Boltzmann Machine (RBM) neural network using a quantum thermodynamics formalism and the maximization of entropy as the cost function for the optimization problem. We verify the possibility of using an entropy…

Disordered Systems and Neural Networks · Physics 2021-03-18 Roshawn Terrell , Eleanor Watson , Timofey Golubev

In recent years, reduced basis methods (RBMs) have been adapted to the many-body eigenvalue problem and they have been used, largely in nuclear physics, as fast emulators able to bypass expensive direct computations while still providing…

Superconductivity · Physics 2023-04-19 Virgil V. Baran , Denis R. Nichita

We show how the rotational quantum state of a linear or symmetric top rotor can be reconstructed from finite time observations of the polar angular distribution under certain conditions. The presented tomographic method can reconstruct the…

Quantum Physics · Physics 2009-11-11 Anders S. Mouritzen , Klaus Molmer