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pro vyhledávání: '"Elliott, Thomas J."'
Quantum technologies offer a promising route to the efficient sampling and analysis of stochastic processes, with potential applications across the sciences. Such quantum advantages rely on the preparation of a quantum sample state of the stochastic
Externí odkaz:
http://arxiv.org/abs/2404.10338
Autor:
Elliott, Thomas J., Gu, Mile
Publikováno v:
Phys. Rev. A 109, 022434 (2024)
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 stochastic modelling, where it has been shown that quantum stochastic simulator
Externí odkaz:
http://arxiv.org/abs/2402.04708
Publikováno v:
Phys. Rev. Lett. 133, 110202 (2024)
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 been given the same system at two different times? Classical statistics s
Externí odkaz:
http://arxiv.org/abs/2306.09336
Autor:
Wu, Kang-Da, Yang, Chengran, He, Ren-Dong, Gu, Mile, Xiang, Guo-Yong, Li, Chuan-Feng, Guo, Guang-Can, Elliott, Thomas J.
Publikováno v:
Nature Communications 14, 2624 (2023)
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 quantitative sciences. Accurate models of highly non-Markovian processe
Externí odkaz:
http://arxiv.org/abs/2208.12744
Publikováno v:
Quantum 7, 991 (2023)
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 invasive. Going beyond measurement invasiveness, here we derive a nove
Externí odkaz:
http://arxiv.org/abs/2204.08298
Publikováno v:
Physical Review X 12, 011007 (2022)
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 surroundings. Such agents typically perform better when able to execute incre
Externí odkaz:
http://arxiv.org/abs/2108.10876
Autor:
Elliott, Thomas J.
Publikováno v:
PRX Quantum 2, 020342 (2021)
Stochastic modelling of complex systems plays an essential, yet often computationally intensive role across the quantitative sciences. Recent advances in quantum information processing have elucidated the potential for quantum simulators to exhibit m
Externí odkaz:
http://arxiv.org/abs/2105.06831
Autor:
Elliott, Thomas J.
Publikováno v:
Physical Review A, 103, 052615 (2021)
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 technologies promises a host of advantages in computational problems, typica
Externí odkaz:
http://arxiv.org/abs/2105.06285
Publikováno v:
Eur. Phys. J. Plus 138 (6) 540 (2023)
Elementary cellular automata (ECA) present iconic examples of complex systems. Though described only by one-dimensional strings of binary cells evolving according to nearest-neighbour update rules, certain ECA rules manifest complex dynamics capable
Externí odkaz:
http://arxiv.org/abs/2103.14053
Publikováno v:
Phys. Rev. A 101, 032327 (2020)
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 able to replicate the future statistics of a stochastic process whilst
Externí odkaz:
http://arxiv.org/abs/1911.02767