@article {13549,
	title = {Sufficient condition for nonexistence of symmetric extension of qudits using Bell inequalities},
	journal = {Phys. Rev. A},
	volume = {96},
	year = {2017},
	pages = {012128},
	abstract = {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 2-qudit Bell inequality is monogamous, then any 2-qudit state that violates this inequality does not have a symmetric extension. For the specific case of 2-qutrit states, we use numerical evidence to conjecture that the Collins-Gisin-Linden-Massar-Popescu (CGLMP) inequality is monogamous. Hence, the violation of the CGLMP inequality by any 2-qutrit state could be a sufficient condition for the nonexistence of its symmetric extension.},
	url = {https://journals.aps.org/pra/abstract/10.1103/PhysRevA.96.012128},
	author = {Meenu Kumari and Shohini Ghose and Robert B. Mann}
}
