Simulating quantum chaos on a quantum computer

Abstract Noisy intermediate-scale quantum (NISQ) computers provide a new experimental platform for investigating the behaviour of complex quantum systems. We show that currently available NISQ devices can be used for versatile quantum simulations of chaotic systems. We introduce a classical-quantum...

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Main Authors: Amit Anand, Sanchit Srivastava, Sayan Gangopadhyay, Shohini Ghose
Format: Article
Language:English
Published: Nature Portfolio 2024-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-76448-0
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author Amit Anand
Sanchit Srivastava
Sayan Gangopadhyay
Shohini Ghose
author_facet Amit Anand
Sanchit Srivastava
Sayan Gangopadhyay
Shohini Ghose
author_sort Amit Anand
collection DOAJ
description Abstract Noisy intermediate-scale quantum (NISQ) computers provide a new experimental platform for investigating the behaviour of complex quantum systems. We show that currently available NISQ devices can be used for versatile quantum simulations of chaotic systems. We introduce a classical-quantum hybrid approach for exploring the dynamics of the chaotic quantum kicked top (QKT) on a quantum computer. The programmability of this approach allows us to experimentally explore a broad range of QKT chaoticity parameter regimes inaccessible to previous studies. Furthermore, the number of gates in our simulation does not increase with the number of kicks, thus making it possible to study the QKT evolution for arbitrary number of kicks without fidelity loss. Using a publicly accessible NISQ computer (IBMQ), we observe periodicities in the evolution of the 2-qubit QKT, as well as signatures of chaos in the time-averaged 2-qubit entanglement. We also demonstrate a connection between entanglement and delocalization in the 2-qubit QKT, confirming theoretical predictions.
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spelling doaj-art-e1163a3dbacc4a29b2cb9d45dce540fc2024-11-10T12:17:22ZengNature PortfolioScientific Reports2045-23222024-11-0114111110.1038/s41598-024-76448-0Simulating quantum chaos on a quantum computerAmit Anand0Sanchit Srivastava1Sayan Gangopadhyay2Shohini Ghose3Department of Mechanical Engineering, Indian Institute of Engineering Science And TechnologySchool of Physics, Indian Institute of Science Education and ResearchDepartment of Physics and Astronomy, University of WaterlooInstitute for Quantum Computing, University of WaterlooAbstract Noisy intermediate-scale quantum (NISQ) computers provide a new experimental platform for investigating the behaviour of complex quantum systems. We show that currently available NISQ devices can be used for versatile quantum simulations of chaotic systems. We introduce a classical-quantum hybrid approach for exploring the dynamics of the chaotic quantum kicked top (QKT) on a quantum computer. The programmability of this approach allows us to experimentally explore a broad range of QKT chaoticity parameter regimes inaccessible to previous studies. Furthermore, the number of gates in our simulation does not increase with the number of kicks, thus making it possible to study the QKT evolution for arbitrary number of kicks without fidelity loss. Using a publicly accessible NISQ computer (IBMQ), we observe periodicities in the evolution of the 2-qubit QKT, as well as signatures of chaos in the time-averaged 2-qubit entanglement. We also demonstrate a connection between entanglement and delocalization in the 2-qubit QKT, confirming theoretical predictions.https://doi.org/10.1038/s41598-024-76448-0
spellingShingle Amit Anand
Sanchit Srivastava
Sayan Gangopadhyay
Shohini Ghose
Simulating quantum chaos on a quantum computer
Scientific Reports
title Simulating quantum chaos on a quantum computer
title_full Simulating quantum chaos on a quantum computer
title_fullStr Simulating quantum chaos on a quantum computer
title_full_unstemmed Simulating quantum chaos on a quantum computer
title_short Simulating quantum chaos on a quantum computer
title_sort simulating quantum chaos on a quantum computer
url https://doi.org/10.1038/s41598-024-76448-0
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