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題名 Digital quantum simulation of dynamical topological invariants on near-term quantum computers
作者 許琇娟
Hsu, Hsiu-Chuan
Chang, Huai-Chun
貢獻者 應物所
關鍵詞 Quantum simulation; Berry phase; Topological insulator
日期 2022-01
上傳時間 24-Jun-2022 15:30:57 (UTC+8)
摘要 Programmable quantum processors are suitable platforms for simulating quantum systems, of which topological phases are of particular interest. We simulate the quench dynamics of a one-dimensional system on IBM Q devices. The topological properties of the dynamics are described by the dynamical topological invariants, the dynamical winding number, and the time-dependent Berry phase, which are simulated with the quantum circuit model. The results show that despite the noise present in the current quantum computers, the dynamical topological invariants are robust. Moreover, to investigate the influence of open quantum system, we analytically solve the master equation in Lindblad form and show that the dynamical winding number and the change in Berry phase are not affected by the dissipation. This study sheds light on the robustness of topological phases on the noisy intermediate-scale quantum computers.
關聯 Quantum information processing, 21, Article number: 41
資料類型 article
DOI https://doi.org/10.1007/s11128-021-03362-z
dc.contributor 應物所
dc.creator (作者) 許琇娟
dc.creator (作者) Hsu, Hsiu-Chuan
dc.creator (作者) Chang, Huai-Chun
dc.date (日期) 2022-01
dc.date.accessioned 24-Jun-2022 15:30:57 (UTC+8)-
dc.date.available 24-Jun-2022 15:30:57 (UTC+8)-
dc.date.issued (上傳時間) 24-Jun-2022 15:30:57 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/140388-
dc.description.abstract (摘要) Programmable quantum processors are suitable platforms for simulating quantum systems, of which topological phases are of particular interest. We simulate the quench dynamics of a one-dimensional system on IBM Q devices. The topological properties of the dynamics are described by the dynamical topological invariants, the dynamical winding number, and the time-dependent Berry phase, which are simulated with the quantum circuit model. The results show that despite the noise present in the current quantum computers, the dynamical topological invariants are robust. Moreover, to investigate the influence of open quantum system, we analytically solve the master equation in Lindblad form and show that the dynamical winding number and the change in Berry phase are not affected by the dissipation. This study sheds light on the robustness of topological phases on the noisy intermediate-scale quantum computers.
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Quantum information processing, 21, Article number: 41
dc.subject (關鍵詞) Quantum simulation; Berry phase; Topological insulator
dc.title (題名) Digital quantum simulation of dynamical topological invariants on near-term quantum computers
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1007/s11128-021-03362-z
dc.doi.uri (DOI) https://doi.org/10.1007/s11128-021-03362-z