TY  - JOUR
A1  - Uola, Roope
A1  - Lever, Fabiano
A1  - Gühne, Otfried
A1  - Pellonpaa, Juha-Pekka
T1  - Unified picture for spatial, temporal, and channel steering
JF  - Physical review : A, Atomic, molecular, and optical physics
N2  - Quantum steering describes how local actions on a quantum system can affect another, spacelike separated, quantum state. Lately, quantum steering has been formulated also for timelike scenarios and for quantum channels. We approach all the three scenarios as one using tools from Stinespring dilations of quantum channels. By applying our technique we link all three steering problems one-to-one with the incompatibility of quantum measurements, a result formerly known only for spatial steering. We exploit this connection by showing how measurement uncertainty relations can be used as tight steering inequalities for all three scenarios. Moreover, we show that certain notions of temporal and spatial steering are fully equivalent and prove a hierarchy between temporal steering and macrorealistic hidden variable models.
Y1  - 2018
U6  - https://doi.org/10.1103/PhysRevA.97.032301
SN  - 2469-9926
SN  - 2469-9934
VL  - 97
IS  - 3
PB  - American Physical Society
CY  - College Park
ER  -