论文标题

关于有限维量子系统的准稳定性表示中的经典性/量子性测量

On measures of classicality/quantumness in quasiprobability representations of finite-dimensional quantum systems

论文作者

Abbasli, N., Abgaryan, V., Bures, M., Khvedelidze, A., Rogojin, I., Torosyan, A.

论文摘要

在本报告中,我们讨论了有限维量子系统状态的经典性/量子性的衡量标准,这些状态基于准稳定性分布与真实统计分布的偏差。特别是,分析了整个Wigner准生产性表示家族的量子状态空间的全局指标对量子状态空间分配的几何形状的依赖性。通过构建Hilbert-Schmidt,Bures和Bogoliubov-Kubo-Mori的Qubits和Qutrits的Bogoliubov-Kubo-Mori集团的经典性/量子性的全局指标来体现一般考虑。

In the present report we discuss measures of classicality/quantumness of states of finite-dimensional quantum systems, which are based on a deviation of quasiprobability distributions from true statistical distributions. Particularly, the dependence of the global indicator of classicality on the assigned geometry of a quantum state space is analysed for a whole family of Wigner quasiprobability representations. General considerations are exemplified by constructing the global indicator of classicality/quantumness for the Hilbert-Schmidt, Bures and Bogoliubov-Kubo-Mori ensembles of qubits and qutrits.

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