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.
@article{arxiv.1503.00836,
title = {Quantifying Non-Markovianity with Temporal Steering},
author = {Shin-Liang Chen and Neill Lambert and Che-Ming Li and Adam Miranowicz and Yueh-Nan Chen and Franco Nori},
journal= {arXiv preprint arXiv:1503.00836},
year = {2016}
}
Comments
4 pages, 2 figures, plus supplementary information. Updated title to match the published version