69 citations · 207 across the 16 of their papers we have counts for
17 papers
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…
Free Independence and Unitary Design from Random Matrix Product Unitaries
Neil Dowling, Jacopo De Nardis, Markus Heinrich +2
Unitary randomness underpins both fundamental tasks in quantum information and the modern theory of quantum chaos. On one side, a central concept is that of approximate unitary des…
A graph-theoretic approach to chaos and complexity in quantum systems
Maxwell West, Neil Dowling, Angus Southwell +4
There has recently been considerable interest in studying quantum systems via dynamical Lie algebras (DLAs) -- Lie algebras generated by the terms which appear in the Hamiltonian o…
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…
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}…
Stabilizer Tensor Networks with Magic State Injection
Azar C. Nakhl, Ben Harper, Maxwell West +4
This work augments the recently introduced Stabilizer Tensor Network (STN) protocol with magic state injection, reporting a new framework with significantly enhanced ability to sim…
Magic Resources of the Heisenberg Picture
Neil Dowling, Pavel Kos, Xhek Turkeshi
We study a non-stabilizerness resource theory for operators, which is dual to that describing states. We identify that the stabilizer Rényi entropy analog in operator space is a go…
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…
Capturing long-range memory structures with tree-geometry process tensors
Neil Dowling, Kavan Modi, Roberto N. Muñoz +2
We introduce a class of quantum non-Markovian processes -- dubbed process trees -- that exhibit polynomially decaying temporal correlations and memory distributed across time scale…
Scrambling is Necessary but Not Sufficient for Chaos
Neil Dowling, Pavel Kos, Kavan Modi
We show that out-of-time-order correlators (OTOCs) constitute a probe for Local-Operator Entanglement (LOE). There is strong evidence that a volumetric growth of LOE is a faithful…
Operational Metric for Quantum Chaos and the Corresponding Spatiotemporal Entanglement Structure
Neil Dowling, Kavan Modi
Chaotic systems are highly sensitive to a small perturbation, and are ubiquitous throughout biological sciences, physical sciences and even social sciences. Taking this as the unde…
Equilibration of Multitime Quantum Processes in Finite Time Intervals
Neil Dowling, Pedro Figueroa-Romero, Felix A. Pollock +2
A generic non-integrable (unitary) out-of-equilibrium quantum process, when interrogated across many times, is shown to yield the same statistics as an (non-unitary) equilibrated p…
Relaxation of Multitime Statistics in Quantum Systems
Neil Dowling, Pedro Figueroa-Romero, Felix A. Pollock +2
Equilibrium statistical mechanics provides powerful tools to understand physics at the macroscale. Yet, the question remains how this can be justified based on a microscopic quantu…
Second law of thermodynamics for relativistic fluids formulated with relative entropy
Neil Dowling, Stefan Floerchinger, Tobias Haas
The second law of thermodynamics is discussed and reformulated from a quantum information theoretic perspective for open quantum systems using relative entropy. Specifically, the r…