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Related papers: Storage properties of a quantum perceptron

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Although different architectures of quantum perceptrons have been recently put forward, the capabilities of such quantum devices versus their classical counterparts remain debated. Here, we consider random patterns and targets independently…

Quantum Physics · Physics 2024-02-01 Fabio Benatti , Giovanni Gramegna , Stefano Mancini , Gibbs Nwemadji

Recent developments in Quantum Machine Learning have seen the introduction of several models to generalize the classical perceptron to the quantum regime. The capabilities of these quantum models need to be determined precisely in order to…

Quantum Physics · Physics 2022-05-31 Fabio Benatti , Giovanni Gramegna , Stefano Mancini

We investigate a generalized quantum perceptron architecture characterized by an oscillating activation function with a tunable frequency ranging from zero to infinity. Employing analytical techniques from statistical mechanics, we derive…

Quantum Physics · Physics 2026-04-09 Fabio Benatti , Masoud Gharahi , Giovanni Gramegna , Stefano Mancini , Vincenzo Parisi

Quantum neural networks form one pillar of the emergent field of quantum machine learning. Here, quantum generalisations of classical networks realizing associative memories - capable of retrieving patterns, or memories, from corrupted…

Quantum Physics · Physics 2025-03-28 Lukas Bödeker , Eliana Fiorelli , Markus Müller

The recent paper "Storage properties of a quantum perceptron" [Phys. Rev. E 110, 024127] considers a quadratic constraint satisfaction problem, motivated by a quantum version of the perceptron. In particular, it derives its critical…

Disordered Systems and Neural Networks · Physics 2025-06-24 Mauro Pastore

A new approach suitable for distributed quantum machine learning and exhibiting memory is proposed for a photonic platform. This measurement-based quantum reservoir computing takes advantage of continuous variable cluster states as the main…

Quantum machine learning algorithms could provide significant speed-ups over their classical counterparts; however, whether they could also achieve good generalization remains unclear. Recently, two quantum perceptron models which give a…

Quantum Physics · Physics 2022-06-22 Mathieu Roget , Giuseppe Di Molfetta , Hachem Kadri

Quantum reservoir computing has emerged as a promising paradigm within the field of quantum machine learning, harnessing the inherent properties of quantum systems to optimise and enhance information processing capabilities. Here, we…

Quantum Physics · Physics 2025-09-03 Adam Burgess , Marian Florescu

Quantum systems have an exponentially large degree of freedom in the number of particles and hence provide a rich dynamics that could not be simulated on conventional computers. Quantum reservoir computing is an approach to use such a…

Quantum Physics · Physics 2020-11-11 Keisuke Fujii , Kohei Nakajima

We investigate a quantum perceptron implemented on a quantum circuit using a repeat until method. We evaluate this from the perspective of capacity, one of the performance evaluation measures for perceptions. We assess a Gardner volume,…

Disordered Systems and Neural Networks · Physics 2024-05-01 Mitsuru Urushibata , Masayuki Ohzeki

In this paper we consider the classical spherical perceptron problem. This problem and its variants have been studied in a great detail in a broad literature ranging from statistical physics and neural networks to computer science and pure…

Probability · Mathematics 2013-06-19 Mihailo Stojnic

In this Letter, we analyze the quantum dynamics of the perceptron model: a particle is constrained on a $N$-dimensional sphere, with $N\to \infty$, and subjected to a set of randomly placed hard-wall potentials. This model has several…

Disordered Systems and Neural Networks · Physics 2021-05-05 Claudia Artiaco , Federico Balducci , Giorgio Parisi , Antonello Scardicchio

Near-term quantum devices can be used to build quantum machine learning models, such as quantum kernel methods and quantum neural networks (QNN) to perform classification tasks. There have been many proposals how to use variational quantum…

Quantum Physics · Physics 2021-11-29 Aikaterini , Gratsea , Patrick Huembeli

For the past two decades, researchers have attempted to create a Quantum Neural Network (QNN) by combining the merits of quantum computing and neural computing. In order to exploit the advantages of the two prolific fields, the QNN must…

Quantum Physics · Physics 2015-12-15 Kok-Leong Seow , Elizabeth Behrman , James Steck

Recently, increased computational power and data availability, as well as algorithmic advances, have led machine learning techniques to impressive results in regression, classification, data-generation and reinforcement learning tasks.…

Quantum computer technology harnesses the features of quantum physics for revolutionizing information processing and computing. As such, quantum computers use physical quantum gates that process information unitarily, even though the final…

Quantum reservoir computing is an emerging field in machine learning with quantum systems. While classical reservoir computing has proven to be a capable concept of enabling machine learning on real, complex dynamical systems with many…

Quantum Physics · Physics 2023-12-14 Niclas Götting , Frederik Lohof , Christopher Gies

Machine learning techniques have achieved impressive results in recent years and the possibility of harnessing the power of quantum physics opens new promising avenues to speed up classical learning methods. Rather than viewing classical…

Quantum Physics · Physics 2025-01-10 Johannes Nokkala , Gian Luca Giorgi , Roberta Zambrini

We consider an ensemble of $K$ single-layer perceptrons exposed to random inputs and investigate the conditions under which the couplings of these perceptrons can be chosen such that prescribed correlations between the outputs occur. A…

Disordered Systems and Neural Networks · Physics 2009-10-28 D. Malzahn , A. Engel , I. Kanter
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