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

• URL: http://arxiv.org/abs/2401.00218v1
• Date: Sat, 30 Dec 2023 13:04:11 GMT
• Title: Comment on "Multiparty quantum mutual information: An alternative definition"
• Authors: Jaehak Lee, Gibeom Noh, Changsuk Noh, Jiyong Park
• Abstract summary: We show that, contrary to the claim by Kumar [Phys. Rev. A 96, 012332], the quantum dual total correlation of an $n$-partite quantum state cannot be represented. We argue that the latter fails to yield a finite value for generalized $n$-partite Greenberger-Horne-Zeilinger states.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 $n \geq 3$. Specifically, we argue that the latter fails to yield a finite value for generalized $n$-partite Greenberger-Horne-Zeilinger states.

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