16 results found
Elliott TJ, Yang C, Binder FC, et al., 2020, Extreme dimensionality reduction with quantum modeling, Physical Review Letters, Vol: 125, Pages: 260501 – 1-260501 – 6, ISSN: 0031-9007
Effective and efficient forecasting relies on identification of the relevant information contained in past observations—the predictive features—and isolating it from the rest. When the future of a process bears a strong dependence on its behavior far into the past, there are many such features to store, necessitating complex models with extensive memories. Here, we highlight a family of stochastic processes whose minimal classical models must devote unboundedly many bits to tracking the past. For this family, we identify quantum models of equal accuracy that can store all relevant information within a single two-dimensional quantum system (qubit). This represents the ultimate limit of quantum compression and highlights an immense practical advantage of quantum technologies for the forecasting and simulation of complex systems.
Yang C, Binder FC, Gu M, et al., 2020, Measures of distinguishability between stochastic processes, PHYSICAL REVIEW E, Vol: 101, ISSN: 2470-0045
Ho M, Gu M, Elliott TJ, 2020, Robust inference of memory structure for efficient quantum modeling of stochastic processes, PHYSICAL REVIEW A, Vol: 101, ISSN: 2469-9926
Liu Q, Elliott TJ, Binder FC, et al., 2019, Optimal stochastic modeling with unitary quantum dynamics, PHYSICAL REVIEW A, Vol: 99, ISSN: 2469-9926
Elliott TJ, Garner AJP, Gu M, 2019, Memory-efficient tracking of complex temporal and symbolic dynamics with quantum simulators, NEW JOURNAL OF PHYSICS, Vol: 21, ISSN: 1367-2630
Elliott TJ, Gu M, 2018, Superior memory efficiency of quantum devices for the simulation of continuous-time stochastic processes, NPJ QUANTUM INFORMATION, Vol: 4, ISSN: 2056-6387
Elliott TJ, Vedral V, 2016, Quantum quasi-Zeno dynamics: Transitions mediated by frequent projective measurements near the Zeno regime, PHYSICAL REVIEW A, Vol: 94, ISSN: 2469-9926
Elliott TJ, Mekhov IB, 2016, Engineering many-body dynamics with quantum light potentials and measurements, PHYSICAL REVIEW A, Vol: 94, ISSN: 2469-9926
Elliott TJ, Johnson TH, 2016, Nondestructive probing of means, variances, and correlations of ultracold-atomic-system densities via qubit impurities, PHYSICAL REVIEW A, Vol: 93, ISSN: 2469-9926
Mazzucchi G, Kozlowski W, Caballero-Benitez SF, et al., 2016, Quantum measurement-induced dynamics of many-body ultracold bosonic and fermionic systems in optical lattices, PHYSICAL REVIEW A, Vol: 93, ISSN: 2469-9926
Elliott TJ, Mazzucchi G, Kozlowski W, et al., 2015, Probing and Manipulating Fermionic and Bosonic Quantum Gases with Quantum Light, ATOMS, Vol: 3, Pages: 392-406, ISSN: 2218-2004
Elliott TJ, Kozlowski W, Caballero-Benitez SF, et al., 2015, Multipartite Entangled Spatial Modes of Ultracold Atoms Generated and Controlled by Quantum Measurement, PHYSICAL REVIEW LETTERS, Vol: 114, ISSN: 0031-9007
Johnson TH, Elliott TJ, Clark SR, et al., 2015, Capturing Exponential Variance Using Polynomial Resources: Applying Tensor Networks to Nonequilibrium Stochastic Processes, PHYSICAL REVIEW LETTERS, Vol: 114, ISSN: 0031-9007
Couto ODD, Sercombe D, Puebla J, et al., 2012, Effect of a GaAsP Shell on the Optical Properties of Self-Catalyzed GaAs Nanowires Grown on Silicon, NANO LETTERS, Vol: 12, Pages: 5269-5274, ISSN: 1530-6984
Suen WY, Elliott TJ, Thompson J, et al., Surveying structural complexity in quantum many-body systems
Quantum many-body systems exhibit a rich and diverse range of exoticbehaviours, owing to their underlying non-classical structure. These systemspresent a deep structure beyond those that can be captured by measures ofcorrelation and entanglement alone. Using tools from complexity science, wecharacterise such structure. We investigate the structural complexities thatcan be found within the patterns that manifest from the observational data ofthese systems. In particular, using two prototypical quantum many-body systemsas test cases - the one-dimensional quantum Ising and Bose-Hubbard models - weexplore how different information-theoretic measures of complexity are able toidentify different features of such patterns. This work furthers theunderstanding of fully-quantum notions of structure and complexity in quantumsystems and dynamics.
Elliott TJ, Gu M, Thompson J, et al., Continuous variable qumodes as non-destructive probes of quantum systems
With the rise of quantum technologies, it is necessary to have practical andpreferably non-destructive methods to measure and read-out from such devices. Acurrent line of research towards this has focussed on the use of ancillasystems which couple to the system under investigation, and through theirinteraction, enable properties of the primary system to be imprinted onto andinferred from the ancillae. We propose the use of continuous variable qumodesas ancillary probes, and show that the interaction Hamiltonian can be fullycharacterised and directly sampled from measurements of the qumode alone. Wesuggest how such probes may also be used to determine thermodynamicalproperties, including reconstruction of the partition function. We show thatthe method is robust to realistic experimental imperfections such asfinite-sized measurement bins and squeezing, and discuss how such probes arealready feasible with current experimental setups.
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