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A Theory of Trotter Error

来源: 12-24

时间:Tues., 13:30-14:30, Dec. 24, 2024

地点:B626, Shuangqing Complex Building A

组织者:Jin-Peng Liu

主讲人:Chang Liu

主办方:

Organizer

Jin-Peng Liu 刘锦鹏


Speaker

Chang Liu


Time

Tues., 13:30-14:30, Dec. 24, 2024


Venue

B626, Shuangqing Complex Building A


A Theory of Trotter Error

Abstract:

Trotterization has been an enduring technique of Hamiltonian simulation. This talk illustrates the foundational concepts of Trotter error theories and focuses on the groundbreaking work by Childs et al., which leverages the commutativity of operator summands to derive tighter and more general error bounds. Applications span digital quantum simulation and quantum Monte Carlo methods, achieving reduced computational complexity.

References:

[1] Childs, A. M., Su, Y., Tran, M. C., Wiebe, N., and Zhu, S. “A Theory of Trotter Error.” Phys. Rev. X 11 (2021). arXiv:1912.08854.

Speaker:

Chang Liu is a PhD student at the Institute of Applied Physics and Computational Mathematics.

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