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Mathematical Aspects of Statistical Physics and Quantum Information - Day 2

Dublin Institute for Advanced Studies DIAS via YouTube

Overview

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Explore advanced mathematical concepts in statistical physics and quantum information through this workshop recording featuring five distinguished speakers presenting cutting-edge research. Delve into Andreas Winter's examination of observational entropy in quantum correlations and entanglement, understanding how quantum systems maintain and measure correlational properties. Learn about zero-error communication protocols under discrete-time Markovian dynamics from Nilanjana Datta's presentation, covering error-free information transmission in quantum channels with memory effects. Investigate Mathieu Beau's operational and stochastic approach to time formulation in quantum mechanics, with specific applications to solving the fundamental time-of-arrival problem in quantum systems. Discover Alexander Stolin's research into novel quantum algebraic structures, exploring mathematical frameworks that extend beyond traditional quantum mechanical formulations. Examine Nicolas Macris's analysis of circuit depths and global entanglement properties in low-energy quantum states, utilizing simplified mathematical approaches to understand complex many-body quantum systems. This workshop, celebrating Professor Tony Dorlas's 70th birthday, brings together leading researchers to present their latest findings at the intersection of mathematical physics, statistical mechanics, and quantum information theory.

Syllabus

00:00:00 Andreas Winter: Observational entropy of quantum correlations and entanglement
00:55:12 Nilanjana Datta: Zero-error communication under discrete-time Markovian dynamics
01:41:30 Mathieu Beau: An Operational and Stochastic Formulation of Time in Quantum Mechanics and Its Application to the Time-of-Arrival Problem
02:26:07 Alexander Stolin: Search for New Quantum Algebras
03:26:36 Nicolas Macris: Circuit depths and global entanglement of low energy states: a simple approach

Taught by

Dublin Institute for Advanced Studies DIAS

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