中国科学院数学与系统科学研究院
数学研究所
学术报告
计算机科学研讨班
Speaker: 刘锦鹏（清华大学数学科学中心）
Title: Linear combination of Hamiltonian simulation for non-unitary dynamics with optimal state preparation cost
Time&Venue: 2024年12月9日（星期一）09:30-10:30 &南楼N213
Abstract: We propose a simple method for simulating a general class of non-unitary dynamics as a linear combination of Hamiltonian simulation (LCHS) problems. LCHS does not rely on converting the problem into a dilated linear system problem, or on the spectral mapping theorem. The latter is the mathematical foundation of many quantum algorithms for solving a wide variety of tasks involving non-unitary processes, such as the quantum singular value transformation (QSVT). The LCHS method can achieve optimal cost in terms of state preparation. We also demonstrate an application for open quantum dynamics simulation using the complex absorbing potential method with near-optimal dependence on all parameters.
Ref: [1] Dong An, Jin-Peng Liu, Lin Lin. Physical Review Letters, 131(15):150603, 2023.
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