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Quantum simulation of non-Markovian open quantum dynamics is essential but challenging for standard quantum computers due to their non-Hermitian nature, leading to non-unitary evolution, and the limitations of available quantum resources.…

Quantum Physics · Physics 2026-01-12 Yukai Guo , Xing Gao

Learning probability distribution is an essential framework in classical learning theory. As a counterpart, quantum state learning has spurred the exploration of quantum machine learning theory. However, as dimensionality increases,…

Quantum Physics · Physics 2023-10-13 Mingrui Jing , Geng Liu , Hongbin Ren , Xin Wang

The goal of unsupervised representation learning is to extract a new representation of data, such that solving many different tasks becomes easier. Existing methods typically focus on vectorized data and offer little support for relational…

Machine Learning · Statistics 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

The resources needed to conventionally characterize a quantum system are overwhelmingly large for high- dimensional systems. This obstacle may be overcome by abandoning traditional cornerstones of quantum measurement, such as general…

Quantum Physics · Physics 2016-05-17 Gregory A. Howland , Samuel H. Knarr , James Schneeloch , Daniel J. Lum , John C. Howell

Understanding dissipation in open quantum systems is crucial for the development of robust quantum technologies. In this work, we introduce a Transformer-based machine learning framework to infer time-dependent dissipation rates in quantum…

Quantum Physics · Physics 2025-05-13 Chi-Sheng Chen , En-Jui Kuo

In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and…

The fast and accessible verification of nonclassical resources is an indispensable step towards a broad utilization of continuous-variable quantum technologies. Here, we use machine learning methods for the identification of nonclassicality…

We propose an interferometric method for statistically discriminating between nonorthogonal states in high dimensional Hilbert spaces for use in quantum information processing. The method is illustrated for the case of photon orbital…

Quantum Physics · Physics 2015-04-13 David S. Simon , Casey A. Fitzpatrick , Alexander V. Sergienko

Clustering algorithms partition a dataset into groups of similar points. The clustering problem is very general, and different partitions of the same dataset could be considered correct and useful. To fully understand such data, it must be…

Machine Learning · Computer Science 2021-02-02 James M. Murphy , Sam L. Polk

As neural networks are known to efficiently represent classes of tensor-network states as well as volume-law-entangled states, identifying which properties determine the representational capabilities of neural quantum states (NQS) remains…

Nuclear Theory · Physics 2026-03-31 James W. T. Keeble , Alessandro Lovato , Caroline E. P. Robin

Unsupervised representation learning techniques, such as learning word embeddings, have had a significant impact on the field of natural language processing. Similar representation learning techniques have not yet become commonplace in the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Joël Bachmann , Kenneth Blomqvist , Julian Förster , Roland Siegwart

We propose an unsupervised image segmentation method using features from pre-trained text-to-image diffusion models. Inspired by classic spectral clustering approaches, we construct adjacency matrices from self-attention layers between…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Daniela Ivanova , Marco Aversa , Paul Henderson , John Williamson

We introduce a sequence modeling framework in which the latent state is a complex-valued wave function evolving on a finite-dimensional Hilbert space under a learned, time-dependent Hamiltonian. Unlike standard recurrent architectures that…

Machine Learning · Computer Science 2026-02-27 Ahmed Nebli , Hadi Saadatdoorabi , Kevin Yam

The discovery of topological features of quantum states plays an important role in modern condensed matter physics and various artificial systems. Due to the absence of local order parameters, the detection of topological quantum phase…

Computational Physics · Physics 2020-11-04 Yanming Che , Clemens Gneiting , Tao Liu , Franco Nori

A nonparametric approach for policy learning for POMDPs is proposed. The approach represents distributions over the states, observations, and actions as embeddings in feature spaces, which are reproducing kernel Hilbert spaces.…

Machine Learning · Computer Science 2012-10-19 Yu Nishiyama , Abdeslam Boularias , Arthur Gretton , Kenji Fukumizu

An algorithm based on quantum phase estimation, which discriminates quantum states nondestructively within a set of arbitrary orthogonal states, is described and experimentally verified by a NMR quantum information processor. The procedure…

Quantum Physics · Physics 2016-11-30 V S Manu , Anil Kumar

Non-Hermitian Hamiltonians provide a simple picture for inspecting dissipative systems with natural or induced gain and loss. We investigate the Floquet dynamical phase transition in the dissipative periodically time driven XY and extended…

Statistical Mechanics · Physics 2022-03-01 J. Naji , Masoud Jafari , R. Jafari , Alireza Akbari

Understanding and representing the structure of 3D objects in an unsupervised manner remains a core challenge in computer vision and graphics. Most existing unsupervised keypoint methods are not designed for unconditional generative…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Rhys Newbury , Juyan Zhang , Tin Tran , Hanna Kurniawati , Dana Kulić

Capsule networks aim to parse images into a hierarchy of objects, parts and relations. While promising, they remain limited by an inability to learn effective low level part descriptions. To address this issue we propose a way to learn…

Computer Vision and Pattern Recognition · Computer Science 2021-02-22 Sara Sabour , Andrea Tagliasacchi , Soroosh Yazdani , Geoffrey E. Hinton , David J. Fleet

At the core of nonperturbative theories of quantum gravity lies the holographic encoding of bulk data in large matrices. At present this mapping is poorly understood. The plane wave matrix model provides a laboratory for isolating aspects…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso , Aleksey L. Mints
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