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arXiv · 2509.03621

Purely GHZ-like entanglement is forbidden in holography

Vijay Balasubramanian·Monica Jinwoo Kang·Charlie Cummings·Chitraang Murdia·Simon F. Ross
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Abstract

We provide evidence that three-party entanglement signals in holography obey a relation that is not satisfied by generalized Greenberger-Horne-Zeilinger (GHZ) states. Using proposed holographic duals for these entanglement signals, we provide a geometric argument establishing this relation. This is the first known inequality on the structure of pure three-party holographic states, and shows that time-symmetric holographic states can never have purely GHZ-like entanglement. We also discuss similar relations for four parties.

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Vijay Balasubramanian, Monica Jinwoo Kang, Charlie Cummings, Chitraang Murdia, Simon F. Ross. 2026-03-17. Purely GHZ-like entanglement is forbidden in holography. https://doi.org/10.1103/g5rw-nvnr

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