



01182nas a2200145   4500008004100000245011000041210006900151260001500220490000800235520071200243100001300955700001800968700001300986856003700999       2023                        eng d00aLinear combination of Hamiltonian simulation for non-unitary dynamics with optimal state preparation cost0 aLinear combination of Hamiltonian simulation for nonunitary dyna  c10/13/20230 v1313 a<p>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.</p>1 aAn, Dong1 aLiu, Jin-Peng1 aLin, Lin  uhttps://arxiv.org/abs/2303.01029