On a mixed-state extension of the holographic signal inequality

• URL: http://arxiv.org/abs/2605.26617v1
• Date: Tue, 26 May 2026 06:54:13 GMT
• Title: On a mixed-state extension of the holographic signal inequality
• Abstract summary: A novel inequality was proposed in citeBalasubramanian:2025hxg for tripartite holographic states.<n>We generalize this inequality to mixed states by canonical purification.<n>We conjecture a new inequality for tripartite holographic states.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A novel inequality was proposed in \cite{Balasubramanian:2025hxg} for tripartite holographic states, using which it was argued, that purely GHZ-like tripartite entanglement is not allowed in holography. In this short note, we generalize this inequality to mixed states by canonical purification following \cite{Yuan:2024yfg} and exhibit a class of holographic geometries that violate this generalized inequality. We argue that the analogous mixed-state extension for four parties fails for the same reason. Finally, we conjecture a new inequality for tripartite holographic states and give supporting evidence.

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