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Reducible Correlations in Dicke States

Quantum Physics 2014-09-23 v1

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 GDN()>|GD_N^{(\ell)}> can be reduced to 22\ell-partite level. Application to the Quantum Marginal Problem is also discussed.

Keywords

Cite

@article{arxiv.0910.1422,
  title  = {Reducible Correlations in Dicke States},
  author = {Preeti Parashar and Swapan Rana},
  journal= {arXiv preprint arXiv:0910.1422},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T13:55:36.824Z