论文标题
$ m- $ mode高斯州的不连贯的高斯等效性
Incoherent Gaussian equivalence of $m-$mode Gaussian states
论文作者
论文摘要
在不连贯的高斯操作下，任意多模（纯或混合）状态的任意多模（纯或混合）状态的必要条件是等效的。我们表明，当且仅当它们与不连贯的统一性相关时，两个高斯州是不连贯的等效性。这建立了著名结果的对应者，即当且仅当它们与当地单位人士相关时，两个纯净的国家在LOCC下等效。此外，高斯状态的不相等等效等效于冷冻连贯性[Phys。莱特牧师。 \ textbf {114}，210401（2015）]。基于这一基础，我们发现在强烈不连贯的高斯操作下，当且仅当该状态冻结了连贯性的相对熵度量时，在强烈不连贯的高斯行动下，所有连贯性的措施都被冷冻。这给出了基于熵的动力条件，其中开放量子系统的相干性完全不受噪声的影响。
Necessary and sufficient conditions for arbitrary multimode (pure or mixed) Gaussian states to be equivalent under incoherent Gaussian operations are derived. We show that two Gaussian states are incoherent equivalence if and only if they are related by incoherent unitaries. This builds the counterpart of the celebrated result that two pure entangled states are equivalent under LOCC if and only if they are related by local unitaries. Furthermore, incoherent equivalence of Gaussian states is equivalent to frozen coherence [Phys. Rev. Lett. \textbf{114}, 210401 (2015)]. Basing this as foundation, we find all measures of coherence are frozen for an initial Gaussian state under strongly incoherent Gaussian operations if and only if the relative entropy measure of coherence is frozen for the state. This gives an entropy-based dynamical condition in which the coherence of an open quantum system is totally unaffected by noise.
