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.

Short Bio:

劉錦鵬，清華大學數學科學中心助理教授，2022-2024年在麻省理工和伯克利任博士后，2022年博士畢業于馬里蘭大學，2017年本科畢業于北航-中科院華羅庚班。研究方向為量子科學計算與量子科學智能，發表PNAS、Nat.Commun. 、PRL、CMP、JCP、Quantum等期刊和NeurIPS、QIP、TQC等會議，受到Quanta、SIAM News、MATH+等科技媒體報道，曾獲ICCM畢業論文獎（博士論文金獎)、James C. Alexander Prize、QISE-NET Award等，作為co-PI主持美國NSF一項，擔任量子信息權威期刊Quantum（JCR Q1，IF 6.4）的編委（中國高校僅3人）。