Probing entanglement dynamics in the SYK model using quantum computers

Le résumé fourni par la source

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. • Measurement of the real-time dynamics of the entanglement entropy (second Rényi entropy) in the SYK Model using IBM’s superconducting quantum computers. • Implementation of the optimized SWAP-based many-body interference protocol designed for limited qubit connectivity to measure the entanglement entropy using IBM’s superconducting quantum computers. • Using quantum multi-programming to parallelize circuit execution to improve the randomized measurement protocol in determining the entanglement entropy.

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