Reducible Correlations in Dicke States

Details Reducible Correlations in Dicke States Reducible Correlations in Dicke States

2009-10-08

arxiv.org/abs/0910.1422v1

Physics

Quantum Physics

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

Scientific paper

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 $|GD_N^{(\ell)}>$ can be reduced to $2\ell$-partite level. Application to the Quantum Marginal Problem is also discussed.

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