Probing Entanglement Dynamics in the SYK Model using Quantum Computers

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Hauptverfasser: Chowdhury, Talal Ahmed, Yu, Kwangmin, Sufian, Raza Sabbir
Format: Preprint
Veröffentlicht: 2025
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author Chowdhury, Talal Ahmed
Yu, Kwangmin
Sufian, Raza Sabbir
author_facet Chowdhury, Talal Ahmed
Yu, Kwangmin
Sufian, Raza Sabbir
contents Quantum computers are expected to be vital for exploring complex dynamics in many-body quantum systems. Thus, validating established results on current quantum computers is essential for evaluating their future utility. Hence, we investigate the entanglement entropy of the Sachdev-Ye-Kitaev (SYK) model, a paradigmatic model of quantum chaos, many-body physics, and holographic duality, in current IBM's superconducting quantum computers. We implement optimized swap-based many-body interference protocol and randomized measurement protocol tailored for IBM quantum computers' limited qubit connectivity. Additionally, we employ quantum multi-programming that parallelizes circuit execution to improve the results obtained by the randomized measurement protocol. Finally, by incorporating the quantum error mitigation techniques into our implementation of the entropy measurement protocols on IBM quantum hardware, we show that the current noisy quantum computer can yield results aligned with theoretical expectations, therefore affirming its capability to explore chaotic quantum dynamics in complex quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_2503_18580
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probing Entanglement Dynamics in the SYK Model using Quantum Computers
Chowdhury, Talal Ahmed
Yu, Kwangmin
Sufian, Raza Sabbir
Quantum Physics
Strongly Correlated Electrons
High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
Quantum computers are expected to be vital for exploring complex dynamics in many-body quantum systems. Thus, validating established results on current quantum computers is essential for evaluating their future utility. Hence, we investigate the entanglement entropy of the Sachdev-Ye-Kitaev (SYK) model, a paradigmatic model of quantum chaos, many-body physics, and holographic duality, in current IBM's superconducting quantum computers. We implement optimized swap-based many-body interference protocol and randomized measurement protocol tailored for IBM quantum computers' limited qubit connectivity. Additionally, we employ quantum multi-programming that parallelizes circuit execution to improve the results obtained by the randomized measurement protocol. Finally, by incorporating the quantum error mitigation techniques into our implementation of the entropy measurement protocols on IBM quantum hardware, we show that the current noisy quantum computer can yield results aligned with theoretical expectations, therefore affirming its capability to explore chaotic quantum dynamics in complex quantum systems.
title Probing Entanglement Dynamics in the SYK Model using Quantum Computers
topic Quantum Physics
Strongly Correlated Electrons
High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2503.18580