Bell's inequality, generalized concurrence and entanglement in qubits

We would like to thank L.-Y. Hung and X. Wen for their insightful discussion. P.-Y. Chang was supported by the Rutgers Center for Materials Theory. S.-K. Chu was supported by the AFOSR, NSF QIS, ARL CDQI, ARO MURI, ARO, and NSF PFC at JQI. C.-T. Ma was supported by the Post-Doctoral International Exchange Program. C.-T. Ma would like to thank N.-P. Ma for his encouragement. We would like to thank the National Tsing Hua University, Tohoku University, Okinawa Institute of Science and Technology Graduate University, Yukawa Institute for Theoretical Physics at the Kyoto University, Istituto Nazionale Di Fisica Nucleare - Sezione di Napoli at the Universita degli Studi di Napoli Federico II, Kadanoff Center for Theoretical Physics at the University of Chicago, Stanford Institute for Theoretical Physics at the Stanford University, Kavli Institute for Theoretical Physics at the University of California, and Israel Institute for Advanced Studies at the Hebrew University of Jerusalem. Discussions during the workshops, "Novel Quantum States in Condensed Matter 2017", "The NCTS workshop on correlated quantum many-body systems: from topology to quantum criticality", "String-Math 2018", "Strings 2018", "New Frontiers in String Theory", "Strings and Fields 2018", "Order from Chaos", "NCTS Annual Theory Meeting 2018: Particles, Cosmology and Strings", and "The 36th Jerusalem Winter School in Theoretical Physics - Recent Progress in Quantum Field/String Theory" were useful to complete this work.