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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,…

计算机视觉与模式识别 · 计算机科学 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…

无序系统与神经网络 · 物理学 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…

强关联电子 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

机器学习 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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).…

机器学习 · 计算机科学 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…

量子物理 · 物理学 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…

机器学习 · 统计学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

强关联电子 · 物理学 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…

无序系统与神经网络 · 物理学 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…

超导电性 · 物理学 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…

量子物理 · 物理学 2009-11-11 Anders S. Mouritzen , Klaus Molmer