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arXiv 1503.00836quant-ph
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用时间导向量化非马尔可夫性

Quantifying Non-Markovianity with Temporal Steering

Shin-Liang Chen, Neill Lambert, Che-Ming Li, Adam Miranowicz, Yueh-Nan Chen, Franco Nori

摘要:

Einstein-Podolsky-Rosen(EPR)转向是一种量子关联,它允许人们远程准备或操纵遥远量子系统的状态。虽然EPR转向可以被认为是一个纯粹的空间相关性,但确实存在一个时间模拟,以单系统时间转向的形式。然而,这种时间转向的精确量化一直缺乏。在这里,我们表明,它可以测量,通过半定规划,与时间可操纵的重量,直接类比最近提出的EPR可操纵的重量。我们发现一个有用的属性的时间可操纵的重量,它是一个非增函数下完全正的保迹映射,并可以用来定义一个充分的和实用的措施强非马尔可夫。

英文摘要:

Einstein-Podolsky-Rosen (EPR) steering is a type of quantum correlation which allows one to remotely prepare, or steer, the state of a distant quantum system. While EPR steering can be thought of as a purely spatial correlation there does exist a temporal analogue, in the form of single-system temporal steering. However, a precise quantification of such temporal steering has been lacking. Here we show that it can be measured, via semidefinite programming, with a temporal steerable weight, in direct analogy to the recently proposed EPR steerable weight. We find a useful property of the temporal steerable weight in that it is a non-increasing function under completely-positive trace-preserving maps and can be used to define a sufficient and practical measure of strong non-Markovianity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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