We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …

A bstract Krylov complexity measures the spread of the wavefunction in the Krylov basis,
which is constructed using the Hamiltonian and an initial state. We investigate the evolution …

A bstract We use Krylov complexity to study operator growth in the q-body dissipative
Sachdev-Ye-Kitaev (SYK) model, where the dissipation is modeled by linear and random p …

In Brown et al.[PRX Quantum, 4, 010321 (2023)], we discuss how holographic quantum
gravity may be simulated using quantum devices and we give a specific proposal …

We study the quantum effects of Near-Extremal black holes near their horizons. The
gravitational dynamics in such backgrounds are closely connected to a particle in AdS 2 with …

A bstract The concepts of operator size and computational complexity play important roles in
the study of quantum chaos and holographic duality because they help characterize the …

With the long-term goal of studying models of quantum gravity in the lab, we propose
holographic teleportation protocols that can be readily executed in table-top experiments …

In many-body chaotic systems, the size of an operator generically grows in Heisenberg
evolution, which can be measured by certain out-of-time-ordered four-point functions …

A bstract We study a precise and computationally tractable notion of operator complexity in
holographic quantum theories, including the ensemble dual of Jackiw-Teitelboim gravity and …

Indirect detection experiments typically measure the flux of annihilating dark matter (DM)
particles propagating freely through galactic halos. We consider a new scenario where …