模拟量子系统的可积性和可计算性
Integrability and Computability in Simulating Quantum Systems
摘要：
给出了一个近似模拟量子不可积哈密顿系统的不可能性定理。这一结果表明，量子不可积系统可积系统的时间离散化在幺正性和能量期望守恒定律之间存在一个折衷，其经典对应结果是Ge-Marsden关于用保辛（Lie-Poisson）性质的积分格式模拟经典不可积Hamilton系统的不可能性结果.
英文摘要：
An impossibility theorem on approximately simulating quantum non-integrable Hamiltonian systems is presented here. This result shows that there is a trade-off between the unitary property and the energy expectation conservation law in time-descretization of quantum non-integrable systems, whose classical counterpart is Ge-Marsden's impossibility result about simulating classically non-integrable Hamiltonian systems using integration schemes preserving symplectic (Lie-Poisson) property.
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