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題名 Probing entanglement dynamics and topological transitions on noisy intermediate-scale quantum computers
作者 林瑜琤
Lin, Yu-Cheng;Chang, Huai-Chun;Hsu, Hsiu-Chuan
貢獻者 應物所
日期 2024-06
上傳時間 12-Dec-2024 09:27:43 (UTC+8)
摘要 We simulate quench dynamics of the Su-Schrieffer-Heeger (SSH) chain on the IBM quantum computers, calculating the Rényi entanglement entropy, the twist order parameter and the Berry phase. The latter two quantities can be deduced from a slow-twist operator defined in the Lieb-Schultz-Mattis theorem. The Rényi entropy is obtained using a recently developed randomized measurement scheme. The twist order parameter and the Berry phase are measured without the need for additional gates or ancilla qubits. We consider quench protocols in which a trivial initial state evolves dynamically in time under the topological SSH Hamiltonian in the fully dimerized limit (the flat-band limit). During these quenches, there are persistent and periodic oscillations in the time evolution of both entanglement entropy and twist order parameter. Through the implementation of error mitigation techniques using a global depolarizing ansatz and postselection, our simulations on the IBM devices yield results that closely match exact solutions.
關聯 arXiv, 2406.10159, pp.1-9
資料類型 article
DOI https://doi.org/10.48550/arXiv.2406.10159
dc.contributor 應物所
dc.creator (作者) 林瑜琤
dc.creator (作者) Lin, Yu-Cheng;Chang, Huai-Chun;Hsu, Hsiu-Chuan
dc.date (日期) 2024-06
dc.date.accessioned 12-Dec-2024 09:27:43 (UTC+8)-
dc.date.available 12-Dec-2024 09:27:43 (UTC+8)-
dc.date.issued (上傳時間) 12-Dec-2024 09:27:43 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/154744-
dc.description.abstract (摘要) We simulate quench dynamics of the Su-Schrieffer-Heeger (SSH) chain on the IBM quantum computers, calculating the Rényi entanglement entropy, the twist order parameter and the Berry phase. The latter two quantities can be deduced from a slow-twist operator defined in the Lieb-Schultz-Mattis theorem. The Rényi entropy is obtained using a recently developed randomized measurement scheme. The twist order parameter and the Berry phase are measured without the need for additional gates or ancilla qubits. We consider quench protocols in which a trivial initial state evolves dynamically in time under the topological SSH Hamiltonian in the fully dimerized limit (the flat-band limit). During these quenches, there are persistent and periodic oscillations in the time evolution of both entanglement entropy and twist order parameter. Through the implementation of error mitigation techniques using a global depolarizing ansatz and postselection, our simulations on the IBM devices yield results that closely match exact solutions.
dc.format.extent 105 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) arXiv, 2406.10159, pp.1-9
dc.title (題名) Probing entanglement dynamics and topological transitions on noisy intermediate-scale quantum computers
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.48550/arXiv.2406.10159
dc.doi.uri (DOI) https://doi.org/10.48550/arXiv.2406.10159