Published May 2024 | Published
Journal Article Open

Inner bounding the quantum entropy cone with subadditivity and subsystem coarse grainings

Abstract

We show via explicit construction that all the extreme rays of both the three-party quantum entropy cone and the four-party stabilizer entropy cone can be obtained from subsystem coarse grainings of specific higher-party quantum states, namely, extreme states characterized by saturating a (nontrivial) maximal set of instances of subadditivity. This suggests that the study of the “subadditivity cone,” and the set of its extreme rays realizable in quantum mechanics, provides a powerful tool for deriving inner bounds for the quantum and stabilizer entropy cones, as well as constraints on new inequalities for the von Neumann entropy.

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© 2024 American Physical Society.

Acknowledgement

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Created:
May 7, 2024
Modified:
May 7, 2024