Temporal Steering with Dimension d=4
Huan-Yu Ku1*, Shin-Liang Chen1, Neill Lambert2, Yueh-Nan Chan1,2, Franco Nori2,3
1department of physics, National Cheng Kung University, Tainan, Taiwan
2CEMS, RIKEN, Wado-shi, Japan
3department of physics, The University of Michigan, Ann Arboor, USA
* presenting author:huan_yu ku, email:huan_yu@ncku.edu.tw
Einstein-Podolsky-Rosen (EPR) steering allows Alice has ability to remotely prepare the state in some specific bases for Bob through her choice of measurement. The temporal analog of EPR steering — the temporal steering — also reveals the steerability of a single system to a later time. Some literatures on the temporal steering have been proposed, however, research on the temporal steering with the dimension higher than two is still lacking. Focusing on the 4-dimensional system, we investigate the dynamics of the recent proposed measures — temporal steerable weight and the temporal steering robustness, by using 5 mutually-unbiased bases. As one of the applications, we also examine the quantum behavior the biological radical-pair model using the temporal steering.

Keywords: EPR, Steering, Temporal steering, dimensional, radical-pair