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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.13266 |
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| _version_ | 1866929636206706688 |
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| author | Balanzó-Juandó, Maria Coladangelo, Andrea Augusiak, Remigiusz Acín, Antonio Šupić, Ivan |
| author_facet | Balanzó-Juandó, Maria Coladangelo, Andrea Augusiak, Remigiusz Acín, Antonio Šupić, Ivan |
| contents | Self-testing refers to the certification of quantum states and measurements based entirely on the correlations exhibited by measurements on separate subsystems. In the bipartite case, self-testing of states has been completely characterized, up to local isometries, as there exist protocols that self-test arbitrary pure states of any local dimension. Much less is known in the multipartite case, where an important difference with respect to the bipartite case appears: there exist multipartite states that are not equivalent, up to local isometries, to their complex conjugate. Thus, any self-testing characterization must in general be complete up to not only local unitaries, but also complex conjugation. Under these premises, in this work, we give a complete characterization of self-testing in the multipartite qubit case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13266 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | All pure multipartite entangled states of qubits can be self-tested up to complex conjugation Balanzó-Juandó, Maria Coladangelo, Andrea Augusiak, Remigiusz Acín, Antonio Šupić, Ivan Quantum Physics Self-testing refers to the certification of quantum states and measurements based entirely on the correlations exhibited by measurements on separate subsystems. In the bipartite case, self-testing of states has been completely characterized, up to local isometries, as there exist protocols that self-test arbitrary pure states of any local dimension. Much less is known in the multipartite case, where an important difference with respect to the bipartite case appears: there exist multipartite states that are not equivalent, up to local isometries, to their complex conjugate. Thus, any self-testing characterization must in general be complete up to not only local unitaries, but also complex conjugation. Under these premises, in this work, we give a complete characterization of self-testing in the multipartite qubit case. |
| title | All pure multipartite entangled states of qubits can be self-tested up to complex conjugation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.13266 |