A Witness of GHZ Entanglement Using Only Collective Spin Measurements
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910394632634368 |
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| author | Zaw, Lin Htoo Huynh-Vu, Khoi-Nguyen Scarani, Valerio |
| author_facet | Zaw, Lin Htoo Huynh-Vu, Khoi-Nguyen Scarani, Valerio |
| contents | Of existing entanglement witnesses that utilize only collective measurements of a spin ensemble, not all can detect genuine multipartite entanglement (GME), and none can detect Greenberger-Horne-Zeilinger (GHZ) states beyond the tripartite case. We fill this gap by introducing an entanglement witness that detects GME of spin ensembles, whose total spin is half-integer, using only collective spin measurements. Our witness is based on a nonclassicality test introduced by Tsirelson, and solely requires the measurement of total angular momentum along different directions. States detected by our witness are close to a family of GHZ-like states, which includes GHZ states of an odd number of spin-half particles. We also study the robustness of our witness under depolarizing noise, and derive exact noise bounds for detecting noisy GHZ states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00805 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Witness of GHZ Entanglement Using Only Collective Spin Measurements Zaw, Lin Htoo Huynh-Vu, Khoi-Nguyen Scarani, Valerio Quantum Physics Of existing entanglement witnesses that utilize only collective measurements of a spin ensemble, not all can detect genuine multipartite entanglement (GME), and none can detect Greenberger-Horne-Zeilinger (GHZ) states beyond the tripartite case. We fill this gap by introducing an entanglement witness that detects GME of spin ensembles, whose total spin is half-integer, using only collective spin measurements. Our witness is based on a nonclassicality test introduced by Tsirelson, and solely requires the measurement of total angular momentum along different directions. States detected by our witness are close to a family of GHZ-like states, which includes GHZ states of an odd number of spin-half particles. We also study the robustness of our witness under depolarizing noise, and derive exact noise bounds for detecting noisy GHZ states. |
| title | A Witness of GHZ Entanglement Using Only Collective Spin Measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2311.00805 |