Quintino et. al. (Phys. Rev. Lett. 113, 160402 (2014)) and Uola et. al. (Phys. Rev. Lett. 113, 160403 (2014)) have recently established an intrinsic relation between non-joint measurability and Einstein-Podolsky- Rosen steering. They showed that a set of measurements is incompatible (i.e., not jointly measurable) if and only if it can be used for the demonstration of steering. In this paper, we prove the temporal analog of this result viz., a set of measurements are incompatible if and only if it exhibits temporal steering.
@article{arxiv.1412.0871,
title = {Joint Measurability and Temporal Steering},
author = {H. S. Karthik and J. Prabhu Tej and A. R. Usha Devi and A. K. Rajagopal},
journal= {arXiv preprint arXiv:1412.0871},
year = {2015}
}
Comments
6 pages,no figures, typos corrected, improved presentation; To appear in JOSA B feature issue "80 years of Steering and the Einstein-Podolsky-Rosen Paradox"