Monogamous nature of Dicke-class of states with two distinct Majorana spinors

Sudha and Akhilesh, K. S. and Divyamani, B. G. and Usha Devi, A. R. and Mallesh, K. S. (2020) Monogamous nature of Dicke-class of states with two distinct Majorana spinors. Quantum Information Processing, 19 (1).

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Monogamy relations place restrictions on the shareability of quantum correlations in multipartite states. Being an intrinsic quantum feature, monogamy property throws light on residual entanglement, an entanglement which is not accounted for by the pairwise entanglement in the state. Expressed in terms of suitable pairwise entanglement measures such as concurrence, the monogamy inequality leads to the evaluation of tangle, a measure of residual entanglement. In this work, we explore monogamy relations in pure symmetric multiqubit states constituted by two distinct spinors, the so-called Dicke-class of states. Pure symmetric N-qubit states constituted by permutation of two orthogonal qubits form the well-known Dicke states. Those N-qubit pure symmetric states constructed by permutations of two non-orthogonal qubits are a one-parameter class of generalized Dicke states. With the help of Majorana geometric representation and angular momentum algebra, we analyze the bounds on monogamy inequality, expressed in terms of squared concurrence/squared negativity of partial transpose. We show that the states with equal distribution of the two spinors are more monogamous and hence possess larger residual entanglement when compared to other inequivalent classes with different degeneracy configurations.

Item Type: Article
Uncontrolled Keywords: Monogamy of quantum entanglement; Majorana representation of symmetric multiqubit states; Dicke-class of states; Residual entanglement; Concurrence tangle; Negativity tangle; Bound on monogamy inequality
Subjects: D Physical Science > Physics
Divisions: Department of > Physics
Depositing User: Mr Umendra uom
Date Deposited: 02 Feb 2021 05:32
Last Modified: 27 May 2022 10:06

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