论文标题

超出密度矩阵:几何量子状态

Beyond Density Matrices: Geometric Quantum States

论文作者

Anza, Fabio, Crutchfield, James P.

论文摘要

用密度矩阵识别量子系统的状态。尽管它们的概率解释植根于整体理论,但密度矩阵体现了已知的缺点。他们没有完全表达合奏的身体实现。方便地,仅处理投影和积极的操作员值测量的统计结果时,这并不是一个障碍。为了跟踪整体实现并消除缺点,我们探索几何量子状态并解释其身体意义。我们强调了两个主要后果:一个是量子状态操作中的一个,另一种是量子热力学。

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.

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