Tripartite Correlation Signal from Multipartite Entanglement of Purification
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914586045710336 |
|---|---|
| author | Bao, Ning Furuya, Keiichiro Naskar, Joydeep |
| author_facet | Bao, Ning Furuya, Keiichiro Naskar, Joydeep |
| contents | We propose a signal $Δ^{(3)}_p$ for genuine tripartite entanglement in finite-dimensional quantum systems and $Δ^{(3)}_w$ for holographic systems. We prove that $Δ^{(3)}_p$ is non-negative for any tripartite entangled mixed states. Based on the conjecture, the equality between an entanglement wedge cross section $E_w$ and entanglement of purification $E_p$, i.e., $E_w = E_P$ in the semiclassical limit, we apply the tripartite entanglement measure to study the structures of tripartite entanglement in AdS$_3$/CFT$_2$, especially for pure AdS$_3$. We comment on a generalization to $n$-partite entanglement signals $Δ^{(n)}_p(A_1:\cdots:A_n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tripartite Correlation Signal from Multipartite Entanglement of Purification Bao, Ning Furuya, Keiichiro Naskar, Joydeep High Energy Physics - Theory Quantum Physics We propose a signal $Δ^{(3)}_p$ for genuine tripartite entanglement in finite-dimensional quantum systems and $Δ^{(3)}_w$ for holographic systems. We prove that $Δ^{(3)}_p$ is non-negative for any tripartite entangled mixed states. Based on the conjecture, the equality between an entanglement wedge cross section $E_w$ and entanglement of purification $E_p$, i.e., $E_w = E_P$ in the semiclassical limit, we apply the tripartite entanglement measure to study the structures of tripartite entanglement in AdS$_3$/CFT$_2$, especially for pure AdS$_3$. We comment on a generalization to $n$-partite entanglement signals $Δ^{(n)}_p(A_1:\cdots:A_n)$. |
| title | Tripartite Correlation Signal from Multipartite Entanglement of Purification |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2509.08209 |