论文标题
量子步行中硬币动力学减少的非马克维亚通道
Non-Markovian channel from the reduced dynamics of coin in quantum walk
论文作者
论文摘要
具有内存的量子通道，称为非马克维亚通道，对于对各种物理系统的现实描述至关重要，并且通过操纵环境（例如其频谱）的特性来铺平了新的破坏方法控制方法。在这项工作中，在离散时间量子步行中硬币的减少动力学被描述为非马克维亚量子通道。勾勒出一种一般形式主义，以提取kraus操作员进行$ t $步骤的量子步行。从减少的硬币动力学的p不可分割性的意义上讲，非马克维亚性是从两种受其遭受的正交状态的非单调行为推断出来的。此外，我们研究了在该频道的作用下的各种量子信息理论量，从而透视了这些渠道可以在各种量子信息处理任务中扮演的角色。
The quantum channels with memory, known as non-Markovian channels, are of crucial importance for a realistic description of a variety of physical systems, and pave ways for new methods of decoherence control by manipulating the properties of environment such as its frequency spectrum. In this work, the reduced dynamics of coin in a discrete-time quantum walk is characterized as a non-Markovian quantum channel. A general formalism is sketched to extract the Kraus operators for a $t$-step quantum walk. Non-Markovianity, in the sense of P-indivisibility of the reduced coin dynamics, is inferred from the non-monotonous behavior of distinguishably of two orthogonal states subjected to it. Further, we study various quantum information theoretic quantities of a qubit under the action of this channel, putting in perspective, the role such channels can play in various quantum information processing tasks.
