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Learning in the quantum universe
I will present recent progress in building a rigorous theory to understand how scientists, machines, and future quantum computers could learn models of our quantum universe. The talk will begin...
Nov 23, 2022
An operator-algebraic formulation of self-testing
We give a new definition of self-testing for correlations in terms of states on C*-algebras. We show that this definition is equivalent to the standard definition for any class of...
Nov 16, 2022
The Complexity and (Un)Computability of Quantum Phase Transitions
The phase diagram of a material is of central importance in describing the properties and behaviour of a condensed matter system. Indeed, the study of quantum phase transitions has formed...
Oct 26, 2022
Locality bounds on quantum dynamics with measurements
In non-relativistic systems, the Lieb-Robinson Theorem imposes an emergent speed limit (independent of the relativistic limit set by c), establishing locality under unitary quantum dynamics and constraining the time needed...
Nov 08, 2022
Holographic scattering from quantum error-correction
We revisit the problem of how interactions emerge in quantum gravity. Namely, we show that bulk scattering of multiple particles in the AdS space requires multipartite entanglement on the boundary...
Oct 26, 2022
Entanglement entropy in (1+1)-d with defects
In this talk I will explore perspectives of quantum entanglement in (1+1)-d systems in presence of defects. The talk consists of two parts. In the first part, I will talk...
Nov 01, 2022
Unlocking the Universe with quantum materials
Just seven years after their first detection, gravitational waves (GWs) have revealed the first glimpses of a previously hidden dark Universe. Using the GW signature of distant compact-object collisions, we...
Nov 16, 2022
A Universal Operator Growth Hypothesis
Thanks to the Lanczos algorithm, the Hamiltonian dynamics of any operator can be written as a hopping problem on a semi-infinite one-dimensional chain. Our hypothesis states that the hopping strength...
Oct 15, 2019
Symmetry indicators for topological materials
Many free-fermion topological phases can be diagnosed by analyzing a suitable collection of symmetry data. While the Fu-Kane parity criterion for topological insulators is an early example, the systematic generalization...
Oct 22, 2019
Hydrodynamics and (Pre)Thermalization in Floquet Systems
A tremendous amount of recent attention has focused on characterizing the dynamical properties of periodically driven many-body systems. Here, we use a novel numerical tool termed ‘density matrix truncation’ (DMT)...
Nov 01, 2019