Concept

Geometric quantization

Related publications (25)

Topological Effects in Carbon-based Two-dimensional Nanostructures

Recent advances on low-dimensional and topological materials has greatly inspired the research in condensed matter physics. This thesis is devoted to the computational and theoretical study of topological effects in two-dimensional materials, especially na ...

EPFL2023

Semiclassical methods in conformal field theories scrutinized by the epsilon-expansion

Gil Badel

Conformal Field Theories (CFTs) are crucial for our understanding of Quantum Field Theory (QFT). Because of their powerful symmetry properties, they play the role of signposts in the space of QFTs. Any method that gives us information about their structure ...

EPFL2022

Finite-Level Quantization Procedures for Construction and Decoding of Polar Codes

Emre Telatar, Yunus Inan

We consider finite-level, symmetric quantization procedures for construction and decoding of polar codes. Whether polarization occurs in the presence of quantization is not known in general. Hassani and Urbanke have shown that a simple three-level quantiza ...

2020

The compass in the eye: The "geometric mechanics" of Viviani at the bedside of the Brunelleschi dome

Simon François Dumas Primbault

During the 17th century, being an engineer at the Medici Court was a discipline at the intersection of mathematics, and the pictorial and mechanical arts. Born out of the heritage of Alberti, Vinci, and Vasari, the Accademia del disegno - founded on the th ...

ARMAND COLIN2020

Quantization Design for Distributed Optimization

Colin Neil Jones, Ye Pu, Melanie Nicole Zeilinger

We consider the problem of solving a distributed optimization problem using a distributed computing platform, where the communication in the network is limited: each node can only communicate with its neighbors and the channel has a limited data-rate. A co ...

2017

Geometric Integrators for Nonadiabatic Molecular Quantum Dynamics Induced by the Interaction with the Electromagnetic Field

Aurélien Kevin Fabrice Patoz

Understanding the elementary steps involved in a chemical reaction forms the cornerstone of physical chemistry research. One way to deepen this understanding is by studying chemical and physical processes using linear and nonlinear spectroscopic techniques ...

EPFL2017

27.3 Area-efficient 1GS/s 6b SAR ADC with charge-injection-cell-based DAC

Kyojin Choo

To support growing data bandwidths, high-speed moderate-resolution ADCs have become vital for high-speed serial links. Interleaved SAR ADCs achieve high sampling speeds and good energy efficiency. However a challenge is that these ADCs are large and theref ...

IEEE2016

Geometry-driven quantization for omnidirectional image coding

Pascal Frossard, Francesca De Simone

In this paper we propose a method to adapt the quantization tables of typical block-based transform codecs when the input to the encoder is a panoramic image resulting from equirectangular projection of a spherical image. When the visual content is project ...

2016

Graph Signal Processing

Ntorina Thanou

Over the past few decades we have been experiencing an explosion of information generated by large networks of sensors and other data sources. Much of this data is intrinsically structured, such as traffic evolution in a transportation network, temperature ...

EPFL2016

A Geometric Model for the Coiling of an Elastic Rod Deployed Onto a Moving Substrate

Pedro Miguel Nunes Pereira de Almeida Reis

We report results from a systematic numerical investigation of the nonlinear patterns that emerge when a slender elastic rod is deployed onto a moving substrate; a system also known as the elastic sewing machine (ESM). The discrete elastic rods (DER) metho ...

American Society of Mechanical Engineers2015

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