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Emergence of Universal Randomness in Quantum Many-body Dynamics

Offered By: Simons Institute via YouTube

Tags

Quantum Mechanics Courses Quantum Computing Courses Statistical Physics Courses Quantum Information Theory Courses Quantum Simulation Courses Random Matrix Theory Courses Ergodicity Courses Thermalization Courses

Course Description

Overview

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Explore the emergence of universal randomness in quantum many-body dynamics through this 44-minute lecture by Soonwon Choi from MIT. Delve into the unexpected discovery of natural quantum many-body dynamics giving rise to pure state ensembles with universal statistical properties. Examine two types of ensembles: the projected ensemble and the temporal ensemble, and understand the phenomena of deep thermalization and Hilbert-space ergodicity. Learn about the emergence of approximate state designs and their applications in quantum information theory. Discover how these findings can be applied to generalize the linear-cross entropy benchmark for analog quantum simulators, develop parameter estimation and noise characterization techniques, and establish connections between random matrix theory and realistic ergodic quantum many-body dynamics. Gain insights into modern quantum simulation experiments and their implications for near-term quantum computers, including fault tolerance, benchmarking, quantum advantage, and quantum algorithms.

Syllabus

Emergence of Universal Randomness in Quantum Many-body Dynamics


Taught by

Simons Institute

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