论文标题
关于非阴性量子通道的永恒非马克维亚性
On the eternal non-Markovianity of non-unital quantum channels
论文作者
论文摘要
永恒的非马克维亚保利频道是一个Unital频道的一个例子，其特征是有史以来$ t> 0 $的负衰减率。在这里，我们考虑了构建类似的非阴道通道的问题，并特别表明$ d $维的广义振幅阻尼（GAD）通道不能永远是非马克维亚人，而非马克维亚性仅起源于该通道的非单位部分。我们研究了量子GAD的该结果的特定分析。具体来说，我们构建了一个准元素非马克维亚Qubit Gad通道，其特征是$ t^\ ast> 0 $，因此该频道仅是非马克维亚人，并且始终是$ t> t> t^\ ast $。我们进一步指出，我们对Qudit GAD通道的负面结果，即永恒非马克维亚特性的不可能，不适合一般的量子或更高维度的非协同通道。
The eternally non-Markovian Pauli channel is an example of a unital channel characterized by a negative decay rate for all time $t>0$. Here we consider the problem of constructing an analogous non-unital channel, and show in particular that a $d$-dimensional generalized amplitude damping (GAD) channel cannot be eternally non-Markovian when the non-Markovianity originates solely from the non-unital part of the channel. We study specific ramifications of this result for qubit GAD. Specifically, we construct a quasi-eternally non-Markovian qubit GAD channel, characterized by a time $t^\ast > 0$, such that the channel is non-Markovian only and for all time $t > t^\ast$. We further point out that our negative result for the qudit GAD channel, namely the impossibility of the eternal non-Markovian property, does not hold for a general qubit or higher-dimensional non-unital channel.
