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Local sum uncertainty relations for angular momentum operators of bipartite permutation symmetric systems |
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| Authors: | I Reena H S Karthik J Prabhu Tej Sudha A R Usha Devi A K Rajagopal |
| Institution: | 1.Department of Physics, Jnanabharathi, Bangalore University, Bangalore-560056, India;2.International Centre for Theory of Quantum Technologies, University of Gdansk, Gdansk, 80-308, Poland;3.Department of Physics, Ramaiah University of Applied Sciences, Bangalore-560054, India;4.Department of Physics, Kuvempu University, Shankaraghatta, Shimoga-577 451, India;5.Inspire Institute Inc., Alexandria, Virginia, 22303, USA |
| Abstract: | 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. |
| Keywords: | sum uncertainty relations permutation symmetry rotational invariance |
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