69 citations · 207 across the 16 of their papers we have counts for
4 papers · 1 filter
Exact Operator Complexity Measures from Random Matchgate Unitaries
Gregory A. L. White, Jens Eisert, Neil Dowling
Matchgate circuits describe classically tractable dynamics in a physically relevant setting while nonetheless exhibiting features characteristic of complex quantum systems, such as…
Noise-induced Simulability Transition from Operator Scrambling
Neil Dowling, Xhek Turkeshi, Jacopo De Nardis +1
The complexity of simulating quantum many-body dynamics, or quantum computations, in the Heisenberg picture is governed by the scrambling of initially simple operators into superpo…
Page Curve for Local-Operator Entanglement from Free Probability
Neil Dowling, Silvia Pappalardi
The local-operator entanglement (LOE) measures the classical simulability of a Heisenberg operator and is conjectured to witness many-body chaos in locally interacting systems. Usi…
Classical Simulability from Operator Entanglement Scaling
Neil Dowling
Local-operator entanglement (LOE) quantifies the nonlocal structure of Heisenberg operators and serves as a diagnostic of many-body chaos. We provide rigorous bounds showing when a…