论文标题
在量子通道下，钟形的钟形状态的连贯性$ n $ th衰减率
The $n$-th decay rate of coherence for Bell-diagonal states under quantum channels
论文作者
论文摘要
我们研究量子状态的连贯性受噪声影响的程度。我们给出了$ n $ th衰减率的定义，并调查了在$ n $ n $频道下的钟形状态的连贯性。我们基于$ n $ th衰减率的明确公式，基于$ l_1 $连贯性，相干性的相对熵和基于信息的连贯性。发现较大的$ n $ IS是，随着贝尔 - 迪亚对方状态的参数$ p $的增加，$ n $ th衰减率的速度越快。此外，对于任何固定的$ n $，随着$ p $的增加，在广义振幅阻尼（GAD）频道，去极化（DEP）通道和相位翻转（PF）通道下，钟形的状态可能完全不连贯，而对于位FLIP（BF）通道和比特（BF）通道和比特（BPF）频道而言，情况并非如此。我们还研究了当$ n $ th衰减速率是一个，即连贯性被冷冻时，我们还研究了不同通道下钟形态状态下相干性和基于信息偏斜的连贯性的几何形状。结果表明，与BF和BPF通道相比，当$ n $足够大时，在GAD，DEP和PF频道下不会冷冻钟形状态的连贯性。对于偏斜的基于信息的连贯性，发现相干冻结的类似属性。
We study the degree to which the coherence of quantum states is affected by noise. We give the definition of the $n$-th decay rate and investigate the coherence of Bell-diagonal states under $n$ iterations of channels. We derive explicit formulas of the $n$-th decay rates based on $l_1$ norm of coherence, relative entropy of coherence and skew information-based coherence. It is found that the larger $n$ is, the faster the $n$-th decay rate decreases as the parameter $p$ of Bell-diagonal states increases. Moreover, for any fixed $n$, with the increase of $p$, Bell-diagonal states can be completely incoherent under generalized amplitude damping (GAD) channels, depolarization (DEP) channels and phase flip (PF) channels, while this is not the case for bit flip (BF) channels and bit-phase flip (BPF) channels. We also investigate the geometry of the relative entropy of coherence and skew information-based coherence of Bell-diagonal states under different channels when the $n$-th decay rate is one, i.e., the coherence is frozen. It is shown that compared with BF and BPF channels, when $n$ is large enough, the coherence of Bell-diagonal states will not be frozen under GAD, DEP and PF channels. For skew information-based coherence, similar properties of coherence freezing are found.
