On a mixed-state extension of the holographic signal inequality
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910263315267584 |
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| author | Naskar, Joydeep |
| author_facet | Naskar, Joydeep |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_26617 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a mixed-state extension of the holographic signal inequality Naskar, Joydeep High Energy Physics - Theory Quantum Physics 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. |
| title | On a mixed-state extension of the holographic signal inequality |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2605.26617 |