正映射的系统-环境初始状态的充分条件
Sufficient conditions placed on initial system-environment states for positive maps
摘要:
一个系统与其环境的相互作用将导致量子演化。在跟踪环境之后,系统的网络演化可以用线性厄米特映射来描述。最近的研究表明,这种演化完全为正的一个充分必要条件是初始态的量子不和谐消失。在本文中,我们提供了一个充分条件的映射是积极的关于初始系统环境相关性。这可能会导致确定积极但不完全积极的地图的方法。还提供了说明性的例子和建议性的程序。
英文摘要:
A system interacting with its environment will give rise to a quantum evolution. After tracing over the environment the net evolution of the system can be described by a linear Hermitian map. It has recently been shown that a necessary and sufficient condition for this evolution to be completely positive is for the initial state to have vanishing quantum discord. In this paper, we provide a sufficient condition for the map to be positive with respect to the initial system-environment correlation. This could lead to ways in which to identify positive but not completely positive maps. Illustrative examples and suggestive procedures are also provided.
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