Published May 2024
| Published
Journal Article
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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.
Copyright and License
© 2024 American Physical Society.
Acknowledgement
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PhysRevA.109.052407.pdf
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Additional details
- ISSN
- 2469-9934
- Heising-Simons Foundation
- 2021-2817
- United States Department of Energy
- DE-SC0011632
- United States Department of Energy
- DE-SC0009999
- University of California System
- Caltech groups
- Walter Burke Institute for Theoretical Physics