Certifying quantumness beyond steering and nonlocality and its implications on quantum information processing
arXiv:1912.01270 · doi:10.26421/QIC23.5-6-2
Abstract
Superunsteerability is a particular kind of spatial quantum correlation that can be observed in a steering scenario in the presence of limited shared randomness. In this work, we define an experimentally measurable quantity in a steering scenario to certify superunsteerability. In the context of certification of randomness with this scenario, we demonstrate that such certification of superunsteerability provides a bound on the amount of genuine randomness generation. On the other hand, superlocality is another kind of spatial quantum correlation that can be observed in a Bell scenario in the presence of limited shared randomness. We identify inequalities to certify superlocality in the Bell scenarios that can be adopted to implement -to- and -to- random-access codes. We observe that such certification of superlocality acts as resource for the random-access codes in the presence of limited shared randomness. As a by-product of our certification of superunsteerability and superlocality, we identify a new classification of separable states having quantumness.
v1: 11 pages, 5 figures, Comments are welcome; v2: Substantially revised version, modified title, v3: Accepted for publication in Quantum Information & Computation
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