Reducible Correlations in Dicke States

Abstract

We apply a simple observation to show that the generalized Dicke states can be determined from their reduced subsystems. In this framework, it is sufficient to calculate the expression for only the diagonal elements of the reudced density matrices in terms of the state coefficients. We prove that the correlation in generalized Dicke states $|G{D}_N^{(\ell )}>$ can be reduced to $2\ell$-partite level. Application to the Quantum Marginal Problem is also discussed.

12 pages, single column; accepted in J. Phys. A as FTC

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Cited by in corpus (5)

• Majorana representation of symmetric multiqubit states
• Detecting genuine multipartite entanglement of pure states with bipartite correlations
• Optimal reducibility of all Stochastic Local Operation and Classical Communication equivalent W states
• Correlations in excited states of local Hamiltonians
• Determination of stabilizer states