Comment on "Multiparty quantum mutual information: An alternative definition"

PHYSICAL REVIEW A(2023)

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摘要
We show that, contrary to the claim by Kumar [Phys. Rev. A 96, 012332 (2017)], the quantum dual total correlation of an n-partite quantum state cannot be represented as the quantum relative entropy between n - 1 copies of the quantum state and the product of n different reduced quantum states for n >= 3. Specifically, we argue that the latter fails to yield a finite value for generalized n-partite Greenberger-Horne-Zeilinger states.
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