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- W3139659870 abstract "We show that violation of 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)], is necessary and sufficient for entanglement in two-qubit permutation symmetric state. Moreover, we also establish its one-to-one connection with negativity of covariance matrix [Phys. Lett. A 364, 203 (2007)] of the two-qubit reduced system of a permutation symmetric N-qubit state. Consequently, it is seen that the violation of the angular momentum LSUR serves as a necessary condition for pairwise entanglement in $N$-qubit system, obeying exchange symmetry. We illustrate physical examples of entangled permutation symmetric N-qubit systems, where violation of the local sum uncertainty relation manifests itself as a signature of pairwise entanglement." @default.
- W3139659870 created "2021-04-13" @default.
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- W3139659870 date "2021-03-29" @default.
- W3139659870 modified "2023-09-27" @default.
- W3139659870 title "Entanglement detection in permutation symmetric states based on violation of local sum uncertainty relation" @default.
- W3139659870 hasPublicationYear "2021" @default.
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