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

摘要: We analyze the connection between Bell inequality violations and symmetric extendibility of quantum states. prove that 2-qubit reduced states multiqubit pure do not violate Clauser-Horne-Shimony-Holt (CHSH) inequality. then more general converse any state violates CHSH cannot have a extension. extend our analysis to qudits provide test for 2-qudit show if is monogamous, this does For specific case 2-qutrit states, we use numerical evidence conjecture Collins-Gisin-Linden-Massar-Popescu (CGLMP) monogamous. Hence, violation CGLMP by could be sufficient condition nonexistence its