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Learning unknown processes affecting a quantum system reveals underlying physical mechanisms and enables suppression, mitigation, and correction of unwanted effects. Describing a general quantum process requires an exponentially large…

We study multiparty entanglement near measurement induced phase transitions (MIPTs), which arise in ensembles of local quantum circuits built with unitaries and measurements. In contrast to equilibrium quantum critical transitions, where…

Quantum Physics · Physics 2025-11-06 James Allen , William Witczak-Krempa

We analyze the dynamics of entanglement entropy in a generic quantum many-body open system from the perspective of quantum information and error corrections. We introduce a random unitary circuit model with intermittent projective…

Quantum Physics · Physics 2020-07-17 Soonwon Choi , Yimu Bao , Xiao-Liang Qi , Ehud Altman

The information bottleneck (IB) principle has been suggested as a way to analyze deep neural networks. The learning dynamics are studied by inspecting the mutual information (MI) between the hidden layers and the input and output. Notably,…

Machine Learning · Computer Science 2022-02-15 Stephan Sloth Lorenzen , Christian Igel , Mads Nielsen

A quantum many-body system whose dynamics includes local measurements at a nonzero rate can be in distinct dynamical phases, with differing entanglement properties. We introduce theoretical approaches to measurement-induced phase…

Statistical Mechanics · Physics 2021-04-07 Adam Nahum , Sthitadhi Roy , Brian Skinner , Jonathan Ruhman

Measurements are able to fundamentally affect quantum dynamics. We here show that a continuously measured quantum many-body system can undergo a spontaneous transition from asynchronous stochastic dynamics to noise-free stable…

Quantum Physics · Physics 2024-01-05 Finn Schmolke , Eric Lutz

Coping with distributional shifts is an important part of transfer learning methods in order to perform well in real-life tasks. However, most of the existing approaches in this area either focus on an ideal scenario in which the data does…

Machine Learning · Computer Science 2023-07-26 Luis Pedro Silvestrin , Shujian Yu , Mark Hoogendoorn

We describe a quantum mechanical measurement as a variational principle including interaction between the system under measurement and the measurement apparatus. Augmenting the action with a nonlocal term (a double integration over the…

Quantum Physics · Physics 2021-04-07 Alan K. Harrison

"Forgetful" measurements-physically similar to dephasing-are of interest both for applications to fault-tolerant quantum computing and fundamentally, in studying how entanglement and entropy spread. This paper investigates…

Quantum Physics · Physics 2025-12-01 Yucheng He , Todd A. Brun

Ideally, a meta-analysis will summarize data from several unbiased studies. Here we consider the less than ideal situation in which contributing studies may be compromised by measurement error. Measurement error affects every study design,…

Variational autoencoders (VAEs) are among leading approaches to address the problem of learning disentangled representations. Typically a single VAE is used and disentangled representations are sought within its single continuous latent…

Machine Learning · Statistics 2026-04-02 Veranika Boukun , Jörg Lücke

There have been growing interests in leveraging experimental measurements to discover the underlying partial differential equations (PDEs) that govern complex physical phenomena. Although past research attempts have achieved great success…

Machine Learning · Computer Science 2023-05-23 Chengping Rao , Pu Ren , Yang Liu , Hao Sun

Quantum entanglement is usually revealed via a well aligned, carefully chosen set of measurements. Yet, under a number of experimental conditions, for example in communication within multiparty quantum networks, noise along the channels or…

We show that weak measurements can induce a quantum phase transition of interacting many-body systems from an ergodic thermal phase with a large entropy to a nonergodic localized phase with a small entropy, but only if the measurement…

Statistical Mechanics · Physics 2019-09-04 Marcin Szyniszewski , Alessandro Romito , Henning Schomerus

We introduce the Information-Estimation Metric (IEM), a novel form of distance function derived from an underlying continuous probability density over a domain of signals. The IEM is rooted in a fundamental relationship between information…

Image and Video Processing · Electrical Eng. & Systems 2026-02-09 Guy Ohayon , Pierre-Etienne H. Fiquet , Florentin Guth , Jona Ballé , Eero P. Simoncelli

Real-world data contains aleatoric uncertainty - irreducible noise arising from imperfect measurements or from incomplete knowledge about the data generation process. Mean-variance estimation networks can learn this type of uncertainty but…

Machine Learning · Computer Science 2026-05-29 Jiaxiang Yi , Miguel A. Bessa

Millimeter-wave vehicular networks incur enormous beam-training overhead to enable narrow-beam communications. This paper proposes a learning and adaptation framework in which the dynamics of the communication beams are learned and then…

Machine Learning · Computer Science 2021-10-27 Muddassar Hussain , Nicolo Michelusi

Increasingly many real world tasks involve data in multiple modalities or views. This has motivated the development of many effective algorithms for learning a common latent space to relate multiple domains. However, most existing…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Tanmoy Mukherjee , Makoto Yamada , Timothy M. Hospedales

Adaptive quantum circuits-where a quantum many-body state is controlled using measurements and conditional unitary operations-are a powerful paradigm for state preparation and quantum error correction tasks. They can support two types of…

Quantum Physics · Physics 2025-06-30 Thomas Iadecola , Justin H. Wilson , J. H. Pixley

We focus on using an architecture similar to the $\beta$-Variational Autoencoder ($\beta$-VAE) to discriminate if a quantum state is entangled or separable based on measurements. We split the data into two sets, the set of local and…

Quantum Physics · Physics 2021-10-19 Nahum Sá , Itzhak Roditi