10 papers
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…
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…
Diagnosing chaos with projected ensembles of process tensors
Peter O'Donovan, Neil Dowling, Kavan Modi +1
The process tensor provides a general representation of a quantum system evolving under repeated interventions and is fundamental for numerical simulations of local many-body dynam…
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…
Adversarial Robustness Guarantees for Quantum Classifiers
Neil Dowling, Maxwell T. West, Angus Southwell +4
Despite their ever more widespread deployment throughout society, machine learning algorithms remain critically vulnerable to being spoofed by subtle adversarial tampering with the…
Bridging Entanglement and Magic Resources within Operator Space
Neil Dowling, Kavan Modi, Gregory A. L. White
Local-operator entanglement (LOE) dictates the complexity of simulating Heisenberg evolution using tensor network methods, {and bears witness to many-body chaos for local dynamics}…