Self-testing composite measurements and bound entangled state in a single quantum network
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916743152140288 |
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| author | Sarkar, Shubhayan Datta, Chandan Halder, Saronath Augusiak, Remigiusz |
| author_facet | Sarkar, Shubhayan Datta, Chandan Halder, Saronath Augusiak, Remigiusz |
| contents | Within the quantum networks scenario we introduce a single scheme allowing to certify three different types of composite projective measurements acting on a three-qubit Hilbert space: one constructed from genuinely entangled GHZ-like states, one constructed from fully product vectors that exhibit the phenomenon of nonlocality without entanglement (NLWE), and a hybrid measurement obtained from an unextendible product basis (UPB). Noticeably, we certify a basis exhibiting NLWE in the smallest dimension capable of supporting this phenomenon. On the other hand, the possibility of certification of a measurement obtained from a UPB has an interesting implication that one can also self-test a bound entangled state in the considered quantum network. Such a possibility does not seem to exist in the standard Bell scenario. Furthermore, we also analyse the robustness of our scheme towards experimental errors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_11409 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Self-testing composite measurements and bound entangled state in a single quantum network Sarkar, Shubhayan Datta, Chandan Halder, Saronath Augusiak, Remigiusz Quantum Physics Within the quantum networks scenario we introduce a single scheme allowing to certify three different types of composite projective measurements acting on a three-qubit Hilbert space: one constructed from genuinely entangled GHZ-like states, one constructed from fully product vectors that exhibit the phenomenon of nonlocality without entanglement (NLWE), and a hybrid measurement obtained from an unextendible product basis (UPB). Noticeably, we certify a basis exhibiting NLWE in the smallest dimension capable of supporting this phenomenon. On the other hand, the possibility of certification of a measurement obtained from a UPB has an interesting implication that one can also self-test a bound entangled state in the considered quantum network. Such a possibility does not seem to exist in the standard Bell scenario. Furthermore, we also analyse the robustness of our scheme towards experimental errors. |
| title | Self-testing composite measurements and bound entangled state in a single quantum network |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2301.11409 |