74 citations · 492 across the 28 of their papers we have counts for
30 papers
Causal memory and structural complexity of correlated quantum sequences
Thomas J. Elliott
What makes one quantum process more complex than another? We adopt an operational approach inspired by classical complexity science, which characterises structure through the memor…
Spatiotemporal quantum advantages for rare-event sampling
Akshat Gupta, Jianjun Chen, Chengran Yang +4
In a world fraught with uncertainty, it behooves us to consider the most disastrous possible outcomes, in order that we can best mitigate against them. Often these are extreme risk…
Dimension Reduction for Quantum Adaptive Agents
Rishi Sundar, Thomas J. Elliott
Adaptive agents realise complex reactive behaviours by using a memory of past input stimuli and output actions to guide structured future responses. Quantum adaptive agents can ope…
Efficient optimisation of multi-parameter quantum control protocols for strongly-coupled systems
Sion Meredith, Oliver Dudgeon, Wojciech Bukalski +4
Achieving high-fidelity control in the presence of strong non-Markovian noise is critical for the optimization of emergent solid-state quantum devices. We present a highly efficien…
Variational Quantum Dimension Reduction for Recurrent Quantum Models
Chufan Lyu, Ximing Wang, Mile Gu +2
Recurrent quantum models (RQMs) realize sequential quantum processes through repeated application of a unitary operation on a memory system coupled with a series of output register…
Energetic advantages for quantum agents in online execution of complex strategies
Jayne Thompson, Paul M. Riechers, Andrew J. P. Garner +2
Agents often execute complex strategies -- adapting their response to each input stimulus depending on past observations and actions. Here, we derive the minimal energetic cost for…
Dimension reduction in quantum sampling of stochastic processes
Chengran Yang, Marta Florido-Llin`as, Mile Gu +1
Quantum technologies offer a promising route to the efficient sampling and analysis of stochastic processes, with potential applications across the sciences. Such quantum advantage…
Embedding memory-efficient stochastic simulators as quantum trajectories
Thomas J. Elliott, Mile Gu
By exploiting the complexity intrinsic to quantum dynamics, quantum technologies promise a whole host of computational advantages. One such advantage lies in the field of stochasti…
Causal classification of spatiotemporal quantum correlations
Minjeong Song, Varun Narasimhachar, Bartosz Regula +2
From correlations in measurement outcomes alone, can two otherwise isolated parties establish whether such correlations are atemporal? That is, can they rule out that they have bee…
Implementing quantum dimensionality reduction for non-Markovian stochastic simulation
Kang-Da Wu, Chengran Yang, Ren-Dong He +5
Complex systems are embedded in our everyday experience. Stochastic modelling enables us to understand and predict the behaviour of such systems, cementing its utility across the q…
Hidden Quantum Memory: Is Memory There When Somebody Looks?
Philip Taranto, Thomas J. Elliott, Simon Milz
In classical physics, memoryless dynamics and Markovian statistics are one and the same. This is not true for quantum dynamics, first and foremost because quantum measurements are…
Quantum adaptive agents with efficient long-term memories
Thomas J. Elliott, Mile Gu, Andrew J. P. Garner +1
Central to the success of adaptive systems is their ability to interpret signals from their environment and respond accordingly -- they act as agents interacting with their surroun…
Quantum coarse-graining for extreme dimension reduction in modelling stochastic temporal dynamics
Thomas J. Elliott
Stochastic modelling of complex systems plays an essential, yet often computationally intensive role across the quantitative sciences. Recent advances in quantum information proces…
Memory compression and thermal efficiency of quantum implementations of non-deterministic hidden Markov models
Thomas J. Elliott
Stochastic modelling is an essential component of the quantitative sciences, with hidden Markov models (HMMs) often playing a central role. Concurrently, the rise of quantum techno…
Quantum-inspired identification of complex cellular automata
Matthew Ho, Andri Pradana, Thomas J. Elliott +2
Elementary cellular automata (ECA) present iconic examples of complex systems. Though described only by one-dimensional strings of binary cells evolving according to nearest-neighb…
Robust inference of memory structure for efficient quantum modelling of stochastic processes
Matthew Ho, Mile Gu, Thomas J. Elliott
A growing body of work has established the modelling of stochastic processes as a promising area of application for quantum techologies; it has been shown that quantum models are a…
Measures of distinguishability between stochastic processes
Chengran Yang, Felix C. Binder, Mile Gu +1
Quantifying how distinguishable two stochastic processes are lies at the heart of many fields, such as machine learning and quantitative finance. While several measures have been p…
Extreme dimensionality reduction with quantum modelling
Thomas J. Elliott, Chengran Yang, Felix C. Binder +3
Effective and efficient forecasting relies on identification of the relevant information contained in past observations -- the predictive features -- and isolating it from the rest…
Surveying structural complexity in quantum many-body systems
Whei Yeap Suen, Thomas J. Elliott, Jayne Thompson +4
Quantum many-body systems exhibit a rich and diverse range of exotic behaviours, owing to their underlying non-classical structure. These systems present a deep structure beyond th…
Optimal stochastic modelling with unitary quantum dynamics
Qing Liu, Thomas. J. Elliott, Felix. C. Binder +2
Identifying and extracting the past information relevant to the future behaviour of stochastic processes is a central task in the quantitative sciences. Quantum models offer a prom…
Memory-efficient tracking of complex temporal and symbolic dynamics with quantum simulators
Thomas J. Elliott, Andrew J. P. Garner, Mile Gu
Tracking the behaviour of stochastic systems is a crucial task in the statistical sciences. It has recently been shown that quantum models can faithfully simulate such processes wh…
Non-destructively probing the thermodynamics of quantum systems with qumodes
Thomas J. Elliott, Mile Gu, Jayne Thompson +1
Quantum systems are by their very nature fragile. The fundamental backaction on a state due to quantum measurement notwithstanding, there is also in practice often a destruction of…
Superior memory efficiency of quantum devices for the simulation of continuous-time stochastic processes
Thomas J. Elliott, Mile Gu
Continuous-time stochastic processes pervade everyday experience, and the simulation of models of these processes is of great utility. Classical models of systems operating in cont…
Nondestructive Probing of Means, Variances, and Correlations of Ultracold-Atomic-System Densities via Qubit Impurities
Thomas J. Elliott, Tomi H. Johnson
We show how impurity atoms can measure moments of ultracold atomic gas densities, using the example of bosons in a one-dimensional lattice. This builds on a body of work regarding…