测地线与区分量子态的最佳度量
Geodesics and the best measurement for distinguishing quantum states
摘要：
从概率分布的统计可解释性出发，可以定义量子态的可解释性。Fuchs和Caves已经推导出了一个相应的测量，在一定意义上是最优的，用于区分两个给定的状态rho_A和rho_B。我们表明，Bures-Uhlmann测地线通过这两个国家挑出这个测量。测地线在量子态集合的边界处“反弹”。当测地线碰到边界时，与边界状态正交的状态是测量的基态之一。
英文摘要：
From statistical distinguishability of probability distributions, one can define distinguishability of quantum states. A corresponding measurement to perform, optimal in a definite sense, for distinguishing between two given states rho_A and rho_B, has been derived by Fuchs and Caves. We show that the Bures-Uhlmann geodesic through the two states singles out this measurement. The geodesic `bounces' at the boundary of the set of quantum states. Whenever the geodesic hits the boundary, the state orthogonal to that boundary state is one of the basis states for the measurement.
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。
