Irreducible MultiQutrit Correlations in Greenberger-Horne-Zeilinger Type States

Details Irreducible MultiQutrit Correlations in Greenberger-Horne-Zeilinger Type States Irreducible MultiQutrit Correlations in Greenberger-Horne-Zeilinger Type States

2009-11-26

arxiv.org/abs/0911.5006v3

Physical Review A, 2011, 84(6):062328

Physics

Quantum Physics

5p, no fig

Scientific paper

10.1103/PhysRevA.84.062328

Following the idea of the continuity approach in [D. L. Zhou, Phys. Rev. Lett. 101, 180505 (2008)], we obtain the degrees of irreducible multi-party 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 $(n-m)$-party ($0< m < n-2$) 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 $(n-1)$-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.

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