论文标题
关于量子状态的统一轨道中平均能的分布
On the distribution of the mean energy in the unitary orbit of quantum states
论文作者
论文摘要
给定封闭的量子系统，可以通过循环过程达到的状态是具有与初始状态相同的频谱的状态。在这里，我们证明，在对哈密顿量的非常一般的假设下，相对于HAAR度量，平均可提取工作的分布非常接近高斯。我们为状态平均能量的分布及其特征功能的分布的两位矩得出了边界，这表明，对于系统希尔伯特空间的较大维度，越来越抑制了正态分布的差异。
Given a closed quantum system, the states that can be reached with a cyclic process are those with the same spectrum as the initial state. Here we prove that, under a very general assumption on the Hamiltonian, the distribution of the mean extractable work is very close to a gaussian with respect to the Haar measure. We derive bounds for both the moments of the distribution of the mean energy of the state and for its characteristic function, showing that the discrepancy with the normal distribution is increasingly suppressed for large dimensions of the system Hilbert space.
