| Abstract | In any known description of nature, two physical systems are
considered independent of each other if any action on one of the systems
does not change the other system. From our classical intuitions about the
world, we further conclude that these two systems are not affecting each
other in any possible way, and thus these two systems are causally
disconnected or they do not influence each other. Building on this idea, we
show that in quantum theory such a notion of classical independence is not
satisfied, that is, two quantum systems can still influence each other even
if any operation on one of the systems does not create an observable effect
on the other. For our purpose, we consider the framework of quantum
networks and construct a linear witness utilizing the
Clauser-Horne-Shimony-Holt inequality. We also discuss one of the
interesting applications resulting from the maximal violation of classical
independence towards device-independent certification of quantum states and
measurements.
For more details, please refer to arXiv:2309.06488v2
<arxiv.org/abs/2309.06488v2> .
Google Meet link of the talk: meet.google.com/zum-bmpj-anv |