Multipartite Markov Gaps and Entanglement Wedge Multiway Cuts
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912635618852864 |
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| author | Iizuka, Norihiro Miyata, Akihiro Nishida, Mitsuhiro |
| author_facet | Iizuka, Norihiro Miyata, Akihiro Nishida, Mitsuhiro |
| contents | The Markov gap, defined as the difference between reflected entropy and mutual information, serves as a diagnostic for quantum recoverability and multipartite entanglement. In holographic settings, it admits a geometric interpretation as the deviation between entanglement wedge cross-sections and RT surfaces. Motivated by this holographic perspective, we propose a generalization of the Markov gap to multipartite systems by using a reflected multi-entropy. The resulting Multipartite Markov gap can capture geometric obstructions to bulk reconstruction. We investigate the properties of this quantity from both information-theoretic and holographic viewpoints, and examine its potential operational significance through candidate recovery maps. We further introduce the genuine reflected multi-entropy, which is designed to vanish for states containing only lower-partite entanglement. Together, these quantities offer complementary probes of recoverability and multipartite structure in holographic quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15262 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multipartite Markov Gaps and Entanglement Wedge Multiway Cuts Iizuka, Norihiro Miyata, Akihiro Nishida, Mitsuhiro High Energy Physics - Theory Quantum Physics The Markov gap, defined as the difference between reflected entropy and mutual information, serves as a diagnostic for quantum recoverability and multipartite entanglement. In holographic settings, it admits a geometric interpretation as the deviation between entanglement wedge cross-sections and RT surfaces. Motivated by this holographic perspective, we propose a generalization of the Markov gap to multipartite systems by using a reflected multi-entropy. The resulting Multipartite Markov gap can capture geometric obstructions to bulk reconstruction. We investigate the properties of this quantity from both information-theoretic and holographic viewpoints, and examine its potential operational significance through candidate recovery maps. We further introduce the genuine reflected multi-entropy, which is designed to vanish for states containing only lower-partite entanglement. Together, these quantities offer complementary probes of recoverability and multipartite structure in holographic quantum systems. |
| title | Multipartite Markov Gaps and Entanglement Wedge Multiway Cuts |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2507.15262 |