Quantum-Circuit Models for Many-Body Physics Out of Equilibrium - Lecture 1

Explore the intricacies of quantum-circuit models for many-body physics out of equilibrium in this comprehensive lecture by Lorenzo Piroli. Delve into topics such as quantum cellular automata, local Hamiltonian dynamics, and locality-preserving unitaries. Gain insights into key concepts including causality, local operators, and technical conditions. Examine the standard notation used in the field and understand the importance of distance and regions in quantum systems. This in-depth presentation offers a thorough exploration of the subject matter, providing a solid foundation for understanding complex quantum phenomena in non-equilibrium states.

Intro
Quantum cellular automata
Setting
Distance
Region
Standard notation
Local Hamiltonian Dynamics
Technical Conditions
Causality
Local operators
Identity
Causation
LocalityPreserving Unitaries
LocalityPreserving unitary