Geometric Construction of Optimal Teleportation Witnesses
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913152280559616 |
|---|---|
| author | Jia, Yanning Guo, Fenzhuo Bai, Mengxuan Li, Mengyan Dong, Haifeng Gao, Fei |
| author_facet | Jia, Yanning Guo, Fenzhuo Bai, Mengxuan Li, Mengyan Dong, Haifeng Gao, Fei |
| contents | Not all entangled states are useful for quantum teleportation. We present a geometric method to construct optimal teleportation witnesses, which provide operational necessary and sufficient criteria for identifying the teleportation usefulness of arbitrary two-qudit entangled states. Specifically, by developing a two-layer iterative cutting-plane algorithm to solve the shortest distance problem from the target state $ρ$ to the convex set $S$ of useless states, we obtain the projection point $σ^* \in S$ and then construct the optimal teleportation witness from the projection geometry. Moreover, the shortest distance $D(ρ)$ obtained during this construction also serves as a necessary and sufficient criterion for usefulness. We apply our method to identify the teleportation usefulness of three classes of entangled states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22226 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric Construction of Optimal Teleportation Witnesses Jia, Yanning Guo, Fenzhuo Bai, Mengxuan Li, Mengyan Dong, Haifeng Gao, Fei Quantum Physics Not all entangled states are useful for quantum teleportation. We present a geometric method to construct optimal teleportation witnesses, which provide operational necessary and sufficient criteria for identifying the teleportation usefulness of arbitrary two-qudit entangled states. Specifically, by developing a two-layer iterative cutting-plane algorithm to solve the shortest distance problem from the target state $ρ$ to the convex set $S$ of useless states, we obtain the projection point $σ^* \in S$ and then construct the optimal teleportation witness from the projection geometry. Moreover, the shortest distance $D(ρ)$ obtained during this construction also serves as a necessary and sufficient criterion for usefulness. We apply our method to identify the teleportation usefulness of three classes of entangled states. |
| title | Geometric Construction of Optimal Teleportation Witnesses |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.22226 |