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The reliable characterization of quantum states is a fundamental task in quantum information science. For this purpose, quantum state tomography provides a standard framework for reconstructing quantum states from measurement data, yet it…

Quantum Physics · Physics 2026-04-14 Yixuan Hu , Mengru Ma , Jiangwei Shang

Learning generative probabilistic models is a core problem in machine learning, which presents significant challenges due to the curse of dimensionality. This paper proposes a joint dimensionality reduction and non-parametric density…

Machine Learning · Statistics 2022-06-22 Magda Amiridi , Nikos Kargas , Nicholas D. Sidiropoulos

Learning meaningful and interpretable representations from high-dimensional volumetric magnetic resonance (MR) images is essential for advancing personalized medicine. While Vision Transformers (ViTs) have shown promise in handling image…

Computer Vision and Pattern Recognition · Computer Science 2024-09-13 Qingqiao Hu , Daoan Zhang , Jiebo Luo , Zhenyu Gong , Benedikt Wiestler , Jianguo Zhang , Hongwei Bran Li

It is well known that the ground state energy of many-particle Hamiltonians involving only 2-body interactions can be obtained using constrained optimizations over density matrices which arise from reducing an N-particle state. While…

Quantum Physics · Physics 2013-05-29 Samuel A. Ocko , Xie Chen , Bei Zeng , Beni Yoshida , Zhengfeng Ji , Mary Beth Ruskai , Isaac L. Chuang

Entangled states are an important resource for quantum computation, communication, metrology, and the simulation of many-body systems. However, noise limits the experimental preparation of such states. Classical data can be efficiently…

Quantum Physics · Physics 2020-04-08 Dmytro Bondarenko , Polina Feldmann

Representation learning becomes especially important for complex systems with multimodal data sources such as cameras or sensors. Recent advances in reinforcement learning and optimal control make it possible to design control algorithms on…

Artificial neural networks have been recently introduced as a general ansatz to compactly represent many- body wave functions. In conjunction with Variational Monte Carlo, this ansatz has been applied to find Hamil- tonian ground states and…

Strongly Correlated Electrons · Physics 2018-10-24 Kenny Choo , Giuseppe Carleo , Nicolas Regnault , Titus Neupert

We introduce a new method to reconstruct unknown quantum states out of incomplete and noisy information. The method is a linear convex optimization problem, therefore with a unique minimum, which can be efficiently solved with Semidefinite…

Quantum Physics · Physics 2011-12-01 Thiago O. Maciel , André T. Cesário , Reinaldo O. Vianna

The variational determination of the two-fermion reduced density matrix is described for harmonically trapped, ultracold few-fermion systems in one dimension with equal spin populations. This is accomplished by formulating the problem as a…

Quantum Gases · Physics 2022-11-11 Mitchell J. Knight , Harry M. Quiney , Andy M. Martin

Representation learning and exploration are among the key challenges for any deep reinforcement learning agent. In this work, we provide a singular value decomposition based method that can be used to obtain representations that preserve…

Machine Learning · Computer Science 2023-05-03 Yash Chandak , Shantanu Thakoor , Zhaohan Daniel Guo , Yunhao Tang , Remi Munos , Will Dabney , Diana L Borsa

The application of the context-adaptive entropy model significantly improves the rate-distortion (R-D) performance, in which hyperpriors and autoregressive models are jointly utilized to effectively capture the spatial redundancy of the…

Image and Video Processing · Electrical Eng. & Systems 2022-09-09 Haisheng Fu , Feng Liang

A key capability of intelligent agents is operating under partial observability: reasoning and acting effectively despite missing or incomplete state observations. While recurrent (memory-based) policies learned via reinforcement learning…

Machine Learning · Computer Science 2026-05-12 David Leeftink , Max Hinne , Marcel van Gerven

Efficient representation of quantum many-body states on classical computers is a problem of enormous practical interest. An ideal representation of a quantum state combines a succinct characterization informed by the system's structure and…

Quantum Physics · Physics 2023-04-11 Abhijith Jayakumar , Marc Vuffray , Andrey Y. Lokhov

Due to the huge amount of parameters, fine-tuning of pretrained language models (PLMs) is prone to overfitting in the low resource scenarios. In this work, we present a novel method that operates on the hidden representations of a PLM to…

Computation and Language · Computer Science 2023-05-29 Linlin Liu , Xingxuan Li , Megh Thakkar , Xin Li , Shafiq Joty , Luo Si , Lidong Bing

Tensor networks were developed in the context of many-body physics as compressed representations of multiparticle quantum states. These representations mitigate the exponential complexity of many-body systems by capturing only the most…

Machine Learning · Computer Science 2026-04-17 Guillermo Valverde , Igor García-Olaizola , Giannicola Scarpa , Alejandro Pozas-Kerstjens

We introduce a machine-learning approach for identifying hidden structural features of open quantum dynamics under restricted experimental access. Unlike most existing data-driven methods which focus on detection or prediction of dynamical…

Quantum Physics · Physics 2026-04-02 Alexander Teretenkov , Sergey Kuznetsov , Alexander Pechen

Autonomous mapping of unknown environments is a critical challenge, particularly in scenarios where time is limited. Multi-agent systems can enhance efficiency through collaboration, but the scalability of motion-planning algorithms remains…

Robotics · Computer Science 2026-01-06 Sriram Rajasekar , Ashwini Ratnoo

The exploration of neural network quantum states has become widespread in the studies of complicated quantum many-body systems. However, achieving high precision remains challenging due to the exponential growth of Hilbert space size and…

Strongly Correlated Electrons · Physics 2025-04-22 Shuai-Tin. Bao , Dian Wu , Pan Zhang , Ling Wang

Deep Reinforcement Learning has shown its ability in solving complicated problems directly from high-dimensional observations. However, in end-to-end settings, Reinforcement Learning algorithms are not sample-efficient and requires long…

Machine Learning · Computer Science 2021-07-06 Nicolò Botteghi , Mannes Poel , Beril Sirmacek , Christoph Brune

Finding the ground state of a quantum many-body system is a fundamental problem in quantum physics. In this work, we give a classical machine learning (ML) algorithm for predicting ground state properties with an inductive bias encoding…

Quantum Physics · Physics 2024-10-18 Laura Lewis , Hsin-Yuan Huang , Viet T. Tran , Sebastian Lehner , Richard Kueng , John Preskill