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Main Authors: Palacios, Ana, Martínez-Peña, Rodrigo, Soriano, Miguel C., Giorgi, Gian Luca, Zambrini, Roberta
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.17734
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author Palacios, Ana
Martínez-Peña, Rodrigo
Soriano, Miguel C.
Giorgi, Gian Luca
Zambrini, Roberta
author_facet Palacios, Ana
Martínez-Peña, Rodrigo
Soriano, Miguel C.
Giorgi, Gian Luca
Zambrini, Roberta
contents Quantum Reservoir Computing (QRC) offers potential advantages over classical reservoir computing, including inherent processing of quantum inputs and a vast Hilbert space for state exploration. Yet, the relation between the performance of reservoirs based on complex and many-body quantum systems and non-classical state features is not established. Through an extensive analysis of QRC based on a transverse-field Ising model we show how different quantum effects, such as quantum coherence and correlations, contribute to improving the performance in temporal tasks, as measured by the Information Processing Capacity. Additionally, we critically assess the impact of finite measurement resources and noise on the reservoir's dynamics in different regimes, quantifying the limited ability to exploit quantum effects for increasing damping and noise strengths. Our results reveal a monotonic relationship between reservoir performance and coherence, along with the importance of quantum effects in the ergodic regime.
format Preprint
id arxiv_https___arxiv_org_abs_2409_17734
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Role of coherence in many-body Quantum Reservoir Computing
Palacios, Ana
Martínez-Peña, Rodrigo
Soriano, Miguel C.
Giorgi, Gian Luca
Zambrini, Roberta
Quantum Physics
Quantum Reservoir Computing (QRC) offers potential advantages over classical reservoir computing, including inherent processing of quantum inputs and a vast Hilbert space for state exploration. Yet, the relation between the performance of reservoirs based on complex and many-body quantum systems and non-classical state features is not established. Through an extensive analysis of QRC based on a transverse-field Ising model we show how different quantum effects, such as quantum coherence and correlations, contribute to improving the performance in temporal tasks, as measured by the Information Processing Capacity. Additionally, we critically assess the impact of finite measurement resources and noise on the reservoir's dynamics in different regimes, quantifying the limited ability to exploit quantum effects for increasing damping and noise strengths. Our results reveal a monotonic relationship between reservoir performance and coherence, along with the importance of quantum effects in the ergodic regime.
title Role of coherence in many-body Quantum Reservoir Computing
topic Quantum Physics
url https://arxiv.org/abs/2409.17734