TY - JOUR
T1 - Loss-tolerant Einstein-Podolsky-Rosen steering for arbitrary-dimensional states
T2 - Joint measurability and unbounded violations under losses
AU - Skrzypczyk, Paul
AU - Cavalcanti, Daniel
PY - 2015/8/28
Y1 - 2015/8/28
N2 - We show how to construct loss-tolerant linear steering inequalities using a generic set of von Neumann measurements that are violated by d-dimensional states, and that rely only upon a simple property of the set of measurements used (the maximal overlap between measurement directions). Using these inequalities we show that the critical detection efficiency above which n von Neumann measurements can demonstrate steering is 1/n. We show furthermore that using our construction and high-dimensional states allows for steering demonstrations which are also highly robust to depolarizing noise and produce unbounded violations in the presence of loss. Finally, our results provide an explicit means to certify the nonjoint measurability of any set of inefficient von Neuman measurements.
AB - We show how to construct loss-tolerant linear steering inequalities using a generic set of von Neumann measurements that are violated by d-dimensional states, and that rely only upon a simple property of the set of measurements used (the maximal overlap between measurement directions). Using these inequalities we show that the critical detection efficiency above which n von Neumann measurements can demonstrate steering is 1/n. We show furthermore that using our construction and high-dimensional states allows for steering demonstrations which are also highly robust to depolarizing noise and produce unbounded violations in the presence of loss. Finally, our results provide an explicit means to certify the nonjoint measurability of any set of inefficient von Neuman measurements.
UR - http://www.scopus.com/inward/record.url?scp=84940782355&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.92.022354
DO - 10.1103/PhysRevA.92.022354
M3 - Article (Academic Journal)
AN - SCOPUS:84940782355
VL - 92
JO - Physical Review A: Atomic, Molecular and Optical Physics
JF - Physical Review A: Atomic, Molecular and Optical Physics
SN - 1050-2947
IS - 2
M1 - 022354
ER -