Hybrid quantum-classical reservoir computing for simulating chaotic systems

Fuente: arXiv
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Autori principali: Wudarski, Filip, O`Connor, Daniel, Geaney, Shaun, Asanjan, Ata Akbari, Wilson, Max, Strbac, Elena, Lott, P. Aaron, Venturelli, Davide
Natura: Preprint
Pubblicazione: 2023
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author Wudarski, Filip
O`Connor, Daniel
Geaney, Shaun
Asanjan, Ata Akbari
Wilson, Max
Strbac, Elena
Lott, P. Aaron
Venturelli, Davide
author_facet Wudarski, Filip
O`Connor, Daniel
Geaney, Shaun
Asanjan, Ata Akbari
Wilson, Max
Strbac, Elena
Lott, P. Aaron
Venturelli, Davide
contents Forecasting chaotic systems is a notably complex task, which in recent years has been approached with reasonable success using reservoir computing (RC), a recurrent network with fixed random weights (the reservoir) used to extract the spatio-temporal information of the system. This work presents a hybrid quantum reservoir-computing (HQRC) framework, which replaces the reservoir in RC with a quantum circuit. The modular structure and measurement feedback in the circuit are used to encode the complex system dynamics in the reservoir states, from which classical learning is performed to predict future dynamics. The noiseless simulations of HQRC demonstrate valid prediction times comparable to state-of-the-art classical RC models for both the Lorenz63 and double-scroll chaotic paradigmatic systems and adhere to the attractor dynamics long after the forecasts have deviated from the ground truth.
format Preprint
id arxiv_https___arxiv_org_abs_2311_14105
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Hybrid quantum-classical reservoir computing for simulating chaotic systems
Wudarski, Filip
O`Connor, Daniel
Geaney, Shaun
Asanjan, Ata Akbari
Wilson, Max
Strbac, Elena
Lott, P. Aaron
Venturelli, Davide
Quantum Physics
Forecasting chaotic systems is a notably complex task, which in recent years has been approached with reasonable success using reservoir computing (RC), a recurrent network with fixed random weights (the reservoir) used to extract the spatio-temporal information of the system. This work presents a hybrid quantum reservoir-computing (HQRC) framework, which replaces the reservoir in RC with a quantum circuit. The modular structure and measurement feedback in the circuit are used to encode the complex system dynamics in the reservoir states, from which classical learning is performed to predict future dynamics. The noiseless simulations of HQRC demonstrate valid prediction times comparable to state-of-the-art classical RC models for both the Lorenz63 and double-scroll chaotic paradigmatic systems and adhere to the attractor dynamics long after the forecasts have deviated from the ground truth.
title Hybrid quantum-classical reservoir computing for simulating chaotic systems
topic Quantum Physics
url https://arxiv.org/abs/2311.14105