16 papers
Generating quantum ensembles via reverse-time quantum diffusions
Maël Bompais, MÄdÄlin GuÅ£Ä, Juan P. Garrahan
We establish a reverse-time denoising theory for quantum diffusions of continuously measured quantum systems. Starting from the stochastic Schrödinger equation of a forward noisin…
Rare Event Analysis of Large Language Models
Jake McAllister Dorman, Edward Gillman, Dominic C. Rose +2
Being probabilistic models, during inference large language models (LLMs) display rare events: behaviour that is far from typical but highly significant. By definition all rare eve…
Quantum trajectory simulation of two-dimensional non-equilibrium steady states with a trapped ion quantum processor
Anna Dalmasso, Arash Jafarizadeh, Julian Boesl +8
Digital quantum computers offer a promising route for studying complex many-body systems that are otherwise inaccessible by their classical counterparts. Capabilities including mid…
Spin models from nonlinear cellular automata
Konstantinos Sfairopoulos, Luke Causer, Jamie F. Mair +2
We study classical and quantum spin models derived from one-dimensional cellular automata (CA) with nonlinear update rules, focusing on rules 30, 54 and 201. We argue that the clas…
Level 2.5 large deviations and uncertainty relations for non-Markov self-interacting dynamics
Francesco Coghi, Amarjit Budhiraja, Juan P. Garrahan
We address the general problem of formulating the dynamical large deviations of non-Markovian systems in a closed form. Specifically, we consider a broad class of ``self-interactin…
Level 2.5 large deviations and uncertainty relations for self-interacting jump processes: tilting constructions and the emergence of time-scale separation
Francesco Coghi, Juan P. Garrahan
Self-interacting jump processes (SIJPs) describe systems with non-Markovian stochastic dynamics in which transition rates depend on empirical observables of the process, which give…