@article{1cfe2581d73b45619684cc448ffc7826,
title = "Hierarchy in temporal quantum correlations",
abstract = "Einstein-Podolsky-Rosen (EPR) steering is an intermediate quantum correlation that lies in between entanglement and Bell nonlocality. Its temporal analog, temporal steering, has recently been shown to have applications in quantum information and open quantum systems. Here we show that there exists a hierarchy among the three temporal quantum correlations: temporal inseparability, temporal steering, and macrorealism. Given that the temporal inseparability can be used to define a measure of quantum causality, similarly the quantification of temporal steering can be viewed as a weaker measure of direct cause and can be used to distinguish between direct cause and common cause in a quantum network.",
author = "Ku, {Huan Yu} and Chen, {Shin Liang} and Neill Lambert and Chen, {Yueh Nan} and Franco Nori",
note = "Funding Information: The authors acknowledge useful discussions with Adam Miranowicz and Roope Uola. H.-Y.K. acknowledges the support of the Graduate Student Study Abroad Program (Grant No. MOST 107-2917-I-006-002). S.-L.C. would like to acknowledge the support from Postdoctoral Research Abroad Program (Grant No. MOST 107-2917-I-564-007). This work is supported partially by the National Center for Theoretical Sciences and Ministry of Science and Technology, Taiwan, Grant No. MOST 103-2112-M-006-017-MY4. F.N. is supported in part by the: MURI Center for Dynamic Magneto-Optics via the Air Force Office of Scientific Research (AFOSR) (FA9550-14-1-0040), Army Research Office (ARO) (Grant No. 73315PH), Asian Office of Aerospace Research and Development (AOARD) (Grant No. FA2386-18-1-4045), Japan Science and Technology Agency (JST) (the ImPACT program and CREST Grant No. JPMJCR1676), and Japan Society for the Promotion of Science (JSPS) (JSPS-RFBR Grant No. 17-52-50023). N.L. and F.N. are supported by the Sir John Templeton Foundation and the RIKEN-AIST Challenge Research Fund. Publisher Copyright: {\textcopyright} 2018 American Physical Society.",
year = "2018",
month = aug,
day = "2",
doi = "10.1103/PhysRevA.98.022104",
language = "English",
volume = "98",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "2",
}