arXiv 0905.32692009-05quant-ph

一般开放量子系统中的互补性

Complementarity in generic open quantum systems

Subhashish Banerjee, R. Srikanth

备注：: 18 pages, 15 figures; accepted for publication in Modern Physics Letters A
DOI：: 10.1142/S0217984910024870

摘要：

我们开发了一个统一的，信息理论的解释，是适用于有限维（原子）和无限维（振荡器）系统的数量相位互补，作为一个离散的厄米观察和相位作为一个连续的正算子值的措施（POVM）。相关的不确定原理是作为{ \it熵过剩}的下界获得的，$X$是一个变量的熵（通常是数字）与其互补变量的知识（通常是相位）之间的差，其中变量的知识被定义为相对于均匀分布的相对熵。在有限维系统的情况下，为了使边界紧密，基本上由于这里定义的相位的POVM性质，需要通过因子$μ$（$> 1$）对相位知识进行加权。数值和分析的证据表明，$μ$趋于1，系统的维数成为无穷大。我们研究了非耗散和耗散噪声对振子和原子系统中这些互补变量的影响。

英文摘要：

We develop a unified, information theoretic interpretation of the number-phase complementarity that is applicable both to finite-dimensional (atomic) and infinite-dimensional (oscillator) systems, with number treated as a discrete Hermitian observable and phase as a continuous positive operator valued measure (POVM). The relevant uncertainty principle is obtained as a lower bound on {\it entropy excess}, $X$, the difference between the entropy of one variable, typically the number, and the knowledge of its complementary variable, typically the phase, where knowledge of a variable is defined as its relative entropy with respect to the uniform distribution. In the case of finite dimensional systems, a weighting of phase knowledge by a factor $μ$ ($> 1$) is necessary in order to make the bound tight, essentially on account of the POVM nature of phase as defined here. Numerical and analytical evidence suggests that $μ$ tends to 1 as system dimension becomes infinite. We study the effect of non-dissipative and dissipative noise on these complementary variables for oscillator as well as atomic systems.

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。

摘要：

英文摘要：

相关论文