# Sufficient condition for nonexistence of symmetric extension of qudits using Bell inequalities

@inproceedings{Kumari2017SufficientCF, title={Sufficient condition for nonexistence of symmetric extension of qudits using Bell inequalities}, author={Meenu Kumari and Shohini Ghose and Robert B. Mann}, year={2017} }

- Published 2017
DOI:10.1103/PhysRevA.96.012128

We analyze the connection between Bell inequality violations and symmetric extendibility of quantum states. We prove that 2-qubit reduced states of multiqubit symmetric pure states do not violate the Bell Clauser-Horne-Shimony-Holt (CHSH) inequality. We then prove the more general converse that any 2-qubit state that violates the CHSH inequality cannot have a symmetric extension. We extend our analysis to qudits and provide a test for symmetric extendibility of 2-qudit states. We show that if a… CONTINUE READING