论文标题
激发阻尼量子通道
Excitation-damping quantum channels
论文作者
论文摘要
我们研究了一类描述量子系统的量子通道，分为激发和地面部门的直接总和，经历了从前者到后者的单程转移。这种构造提供了振幅阻尼量子通道的概括，可以视为一种升级在激发扇区上定义的痕量非刺激量子操作的方法，以在较大的希尔伯特空间上的痕量保留操作。我们为此类渠道的完全阳性提供了必要和足够的条件，并且我们还表明，每当地面部门是一维时，完全阳性等于简单的阳性。最后，我们检查了与时间有关的方案，并表征了所有属于该类别的CP分解通道和Markovian半群。
We study a class of quantum channels describing a quantum system, split into the direct sum of an excited and a ground sector, undergoing a one-way transfer of population from the former to the latter; this construction, which provides a generalization of the amplitude-damping qubit channel, can be regarded as a way to upgrade a trace non-increasing quantum operation, defined on the excited sector, to a possibly trace preserving operation on a larger Hilbert space. We provide necessary and sufficient conditions for the complete positivity of such channels, and we also show that complete positivity is equivalent to simple positivity whenever the ground sector is one-dimensional. Finally, we examine the time-dependent scenario and characterize all CP-divisible channels and Markovian semigroups belonging to this class.
