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PreprintarXiv licencearXiv

Growing Einstein-Rosen Bridge with Multi-partite Entanglement

Abstract

Can quantum entanglement continue to grow even after the entanglement entropies of subsystems have saturated? We address this question using genuine multi-entropy, which probes multi-partite entanglement structure beyond bipartite entanglement. In a two-sided BTZ black hole, this quantity grows linearly with time after every subsystem entropy of a fixed tripartition has saturated, extending the interval in which entanglement detects Einstein-Rosen bridge growth. The result refines the ER=EPR relation by identifying multi-partite structure invisible to ordinary entanglement entropies. Some spin-chain models and the spatially partitioned Sachdev-Ye-Kitaev (SYK) model exhibit distinct transients, while the late-time plateau values in holography, the SYK model, and Haar-random states share a universal behaviour.

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BibTeX
@misc{anegawa2026growing,
  title = {{Growing Einstein-Rosen Bridge with Multi-partite Entanglement}},
  author = {Takanori Anegawa and Akihiro Miyata and Shota Suzuki and Kotaro Tamaoka},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.18225},
  eprint = {2609.18225},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.18225},
}
RIS
TY  - UNPB
TI  - Growing Einstein-Rosen Bridge with Multi-partite Entanglement
AU  - Takanori Anegawa
AU  - Akihiro Miyata
AU  - Shota Suzuki
AU  - Kotaro Tamaoka
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.18225
UR  - https://arxiv.org/abs/2609.18225
AB  - Can quantum entanglement continue to grow even after the entanglement entropies of subsystems have saturated? We address this question using genuine multi-entropy, which probes multi-partite entanglement structure beyond bipartite entanglement. In a two-sided BTZ black hole, this quantity grows linearly with time after every subsystem entropy of a fixed tripartition has saturated, extending the interval in which entanglement detects Einstein-Rosen bridge growth. The result refines the ER=EPR relation by identifying multi-partite structure invisible to ordinary entanglement entropies. Some spin-chain models and the spatially partitioned Sachdev-Ye-Kitaev (SYK) model exhibit distinct transients, while the late-time plateau values in holography, the SYK model, and Haar-random states share a universal behaviour.
ER  -