Abstract

Localization of quantum Bernoulli noises(LQBNs) are the family of local annihilation and local creation operator acting on Bernoulli functionals. In this paper, we give the local quantum mutual entropy $I({\rho }_k;{\Lambda }^{*})$ based on the local quantum entropy $S({\rho }_k).$ Furthermore, we demonstrate that this quantum mutual entropy $I({\rho }_k;{\Lambda }^{*})$ also has the basic properties.

中文翻译：

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以局域量子伯努利噪声表示的量子互熵

摘要

量子伯努利噪声(LQBNs)的定域化是作用于伯努利泛函的局部湮灭和局部产生算子族。在本文中，我们给出局部量子互熵$我({\rho }_k;{\Lambda }^{*})$基于局部量子熵$\mathrm{小号}({\rho }_k).$此外，我们证明了这种量子互熵$我({\rho }_k;{\Lambda }^{*})$也有基本属性。