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Purely Greenberger-Horne-Zeilinger–like Entanglement is Forbidden in Holography

Year: 2025
Type: article
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.
DOI: 10.1103/g5rw-nvnr
Authors: Vijay Balasubramanian, Monica Jinwoo Kang, Charlie Cummings, Chitraang Murdia, Simon F. Ross
Institutions: Vrije Universiteit Brussel, University of Oxford, International Solvay Institutes, University of Pennsylvania, Texas A&M University, Durham University
Language: English
Open Access status: hybrid
Estimated APC paid: $3,750
Funders: National Science Foundation, U.S. Department of Energy, Texas A and M University, University of Oxford, Science and Technology Facilities Council, Balliol College, University of Oxford, National Science Foundation Graduate Research Fellowship Program
OpenAlex ID: W4417210726
FWCI: 2.367
Cites: 42
Cited by: 5
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