A Logical Proof of Quantum Correlations Requiring Entanglement Measurements
Quantum Physics
2019-08-21 v1
Abstract
We present a logical type of proof of contextuality for a two-qubit state. We formulate a paradox that cannot be verified by a two-qubit system with local measurements while it is possible by using entanglement measurements. With our scheme we achieve , which is the highest probability obtained for a system of similar dimension. Our approach uses graph theory and the global exclusivity principle to give an interpretation of logical type of proofs of quantum correlations. We review the Hardy paradox and find connection to the KCBS inequality. We apply the same method to build a paradox based the CHSH inequality.
Keywords
Cite
@article{arxiv.1903.12350,
title = {A Logical Proof of Quantum Correlations Requiring Entanglement Measurements},
author = {Adel Sohbi and Jaewan Kim},
journal= {arXiv preprint arXiv:1903.12350},
year = {2019}
}