TY - JOUR
T1 - Improving Einstein-Podolsky-Rosen steering inequalities with state information
AU - Schneeloch, James
AU - Broadbent, Curtis J.
AU - Howell, John C.
N1 - Funding Information: We gratefully acknowledge support from DARPA DSO under grant numbers W911NR-10-1-0404 and W31P4Q-12-1-0015 . C.J.B. acknowledges support from ARO W911NF-09-1-0385 and NSF PHY-1203931 .
PY - 2014/2/14
Y1 - 2014/2/14
N2 - We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering inequalities. In particular, we discuss how using information about the state of a quantum system affects one's ability to witness EPR-steering. As an example, we consider the recent improvement to the entropic uncertainty relation between pairs of discrete observables (Berta et al., 2010 [10]). By considering the assumptions that enter into the development of a steering inequality, we derive correct steering inequalities from these improved uncertainty relations and find that they are identical to ones already developed (Schneeloch et al., 2013 [9]). In addition, we consider how one can use state information to improve our ability to witness EPR-steering, and develop a new continuous variable symmetric EPR-steering inequality as a result.
AB - We discuss the relationship between entropic Einstein-Podolsky-Rosen (EPR)-steering inequalities and their underlying uncertainty relations along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering inequalities. In particular, we discuss how using information about the state of a quantum system affects one's ability to witness EPR-steering. As an example, we consider the recent improvement to the entropic uncertainty relation between pairs of discrete observables (Berta et al., 2010 [10]). By considering the assumptions that enter into the development of a steering inequality, we derive correct steering inequalities from these improved uncertainty relations and find that they are identical to ones already developed (Schneeloch et al., 2013 [9]). In addition, we consider how one can use state information to improve our ability to witness EPR-steering, and develop a new continuous variable symmetric EPR-steering inequality as a result.
KW - EPR-paradox
KW - EPR-steering
KW - Entanglement
KW - Entropy
KW - Uncertainty relations
UR - http://www.scopus.com/inward/record.url?scp=84893788282&partnerID=8YFLogxK
U2 - https://doi.org/10.1016/j.physleta.2014.01.019
DO - https://doi.org/10.1016/j.physleta.2014.01.019
M3 - Article
SN - 0375-9601
VL - 378
SP - 766
EP - 769
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 10
ER -