%A I Reena, H S Karthik, J Prabhu Tej, Sudha, A R Usha Devi, and A K Rajagopal %T Local sum uncertainty relations for angular momentum operators of bipartite permutation symmetric systems %0 Journal Article %D 2022 %J Chin. Phys. B %R 10.1088/1674-1056/ac5fa3 %P 60301-060301 %V 31 %N 6 %U {https://cpb.iphy.ac.cn/CN/abstract/article_124711.shtml} %8 2022-05-17 %X We show that violation of the variance based local sum uncertainty relation (LSUR) for angular momentum operators of a bipartite system, proposed by Hofmann and Takeuchi [Phys. Rev. A 68 032103 (2003)], reflects entanglement in the equal bipartitions of an N-qubit symmetric state with even qubits. We establish the one-to-one connection with the violation of LSUR with negativity of covariance matrix [Phys. Lett. A 364 203 (2007)] of the two-qubit reduced system of a permutation symmetric N-qubit state.