Self-testing of quantum states using symmetric local hidden state model
We introduce a symmetric local hidden state $(slhs)$ model in a scenario,
where two spacially separated parties receive quantum states from an unknown
source. We derive an inequality based on the model. A completely new form of
nonlocality emerges from the resource theoretic point of view. The inequality
singles out a larger set of quantum correlated states in the higher dimensional
scenarios $(d> 2 $ X $2)$ than what is predicted by the existing $lhs$ model,
opening a new front for the experimentalists to test the accuracy of the
prediction. We propose an experiment to show the experimental violation of the
inequality in the two qubit scenario and perform the experiment on the IBM
quantum computer. However, the experimental method adopted for the two-qubit
scenario does not naturally generalize in the higher dimensional scenarios and
leaves the experimental verification of the claim open. We also show that the
maximal violation of the inequality can be used to self-test the Bell state and
measurement bases, leading to complete device-independence.
Debasis Mondal Dagomir Kaszlikowski