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Irreducible multiqutrit correlations in Greenberger-Horne-Zeilinger-type states

2009/11/30 by Fulin Zhang, Fu-Lin Zhang, Jing-Ling Chen +1
Chemistry · Computer Science · Physics and Astronomy · #Geology #Molecular spectroscopy and chirality #Physics #Quantum Information and Cryptography #Quantum optics and atomic interactions #Type (biology) #quant-ph

paper · pdf · doi:10.1103/physreva.84.062328

published as Physical Review A, 2011, 84(6):062328 · 5p, no fig

openalex publication_date 2011/12/28 · arxiv created 2011/12/30 · arxiv updated 2012/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Following the idea of the continuity approach by D. L. Zhou [Phys. Rev. Lett. 101, 180505 (2008)], we obtain the degrees of irreducible multiparty correlations in two families of n-qutrit Greenberger-Horne-Zeilinger-type states. For the pure states in one of the families, the irreducible 2-party, n-party, and (n\ensuremath-m)-party (0<m<n\ensuremath-2) correlations are nonzero, which is different from the n-qubit case. We also derive the correlation distributions in the n-qutrit maximal slice state, which can be uniquely determined by its (n\ensuremath-1)-qutrit-reduced density matrices among pure states. It is proved that there is no irreducible n-qutrit correlation in the maximal slice state. This enlightens us to give a discussion about how to characterize the pure states with irreducible n-party correlation in arbitrarily high-dimensional systems by the way of the continuity approach.

Citations