Non-perturbative renormalization for the neural network-QFT correspondence
H Erbin, V Lahoche, DO Samary - Machine Learning: Science …, 2022 - iopscience.iop.org
In a recent work (Halverson et al 2021 Mach. Learn.: Sci. Technol. 2 035002), Halverson,
Maiti and Stoner proposed a description of neural networks (NNs) in terms of a Wilsonian …
Maiti and Stoner proposed a description of neural networks (NNs) in terms of a Wilsonian …
Relative entropy and proximity of quantum field theories
V Balasubramanian, JJ Heckman… - Journal of High Energy …, 2015 - Springer
A bstract We study the question of how reliably one can distinguish two quantum field
theories (QFTs). Each QFT defines a probability distribution on the space of fields. The …
theories (QFTs). Each QFT defines a probability distribution on the space of fields. The …
Functional renormalization group approach for signal detection
V Lahoche, D Ousmane Samary, M Tamaazousti - SciPost Physics Core, 2024 - scipost.org
This review paper utilizes renormalization group techniques for signal detection in nearly
continuous positive spectra. We emphasize the universal aspects of the analogue field …
continuous positive spectra. We emphasize the universal aspects of the analogue field …
Continuum limits of quantum lattice systems
TJ Osborne - arXiv preprint arXiv:1901.06124, 2019 - arxiv.org
We describe a general procedure to give effective continuous descriptions of quantum lattice
systems in terms of quantum fields. There are two key novelties of our method: firstly, it is …
systems in terms of quantum fields. There are two key novelties of our method: firstly, it is …
Holographic fluctuations and the principle of minimal complexity
W Chemissany, TJ Osborne - Journal of High Energy Physics, 2016 - Springer
A bstract We discuss, from a quantum information perspective, recent proposals of
Maldacena, Ryu, Takayanagi, van Raamsdonk, Swingle, and Susskind that spacetime is an …
Maldacena, Ryu, Takayanagi, van Raamsdonk, Swingle, and Susskind that spacetime is an …
Coarse-grained distinguishability of field interactions
C Bény - Quantum, 2018 - quantum-journal.org
Abstract Information-theoretical quantities such as statistical distinguishability typically result
from optimisations over all conceivable observables. Physical theories, however, are not …
from optimisations over all conceivable observables. Physical theories, however, are not …
Local quantum information dynamics
RP Kostecki - arXiv preprint arXiv:1605.02063, 2016 - arxiv.org
In this paper we: 1) show how the smooth geometry of spaces of normal quantum states over
W*-algebras (generalised spaces of density matrices) may be used to substantially enrich …
W*-algebras (generalised spaces of density matrices) may be used to substantially enrich …
Minimizing couplings in renormalization by preserving short-range mutual information
The connections between renormalization in statistical mechanics and information theory
are intuitively evident, but a satisfactory theoretical treatment remains elusive. We show that …
are intuitively evident, but a satisfactory theoretical treatment remains elusive. We show that …
A quantum information geometric approach to renormalization
JB DeBrota - arXiv preprint arXiv:1609.09440, 2016 - arxiv.org
This essay constitutes a review of the information geometric approach to renormalization
developed in the recent works of B\'eny and Osborne as well as a detailed work-through of …
developed in the recent works of B\'eny and Osborne as well as a detailed work-through of …
[PDF][PDF] Continuous time limit of repeated quantum observations
B Neukirchen - 2016 - repo.uni-hannover.de
In this thesis we study the problem of continuous measurement on an open quantum system.
The starting point of our analysis is the time-evolution of an open quantum system where the …
The starting point of our analysis is the time-evolution of an open quantum system where the …