超越密度矩阵：几何量子态
Beyond Density Matrices: Geometric Quantum States
摘要：
量子系统的状态用一个密度矩阵表示。虽然它们的概率解释植根于系综理论，但密度矩阵体现了一个已知的缺点。它们并不完全表达合奏的物理实现。方便的是，当只处理投射和正算子值测量的统计结果时，这不是一个障碍。为了跟踪系综实现，从而消除这一缺点，我们探索几何量子态，并解释它们的物理意义。我们强调两个主要的结果：一个在量子态操纵和一个在量子热力学。
英文摘要：
A quantum system's state is identified with a density matrix. Though their probabilistic interpretation is rooted in ensemble theory, density matrices embody a known shortcoming. They do not completely express an ensemble's physical realization. Conveniently, when working only with the statistical outcomes of projective and positive operator-valued measurements this is not a hindrance. To track ensemble realizations and so remove the shortcoming, we explore geometric quantum states and explain their physical significance. We emphasize two main consequences: one in quantum state manipulation and one in quantum thermodynamics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
