Coarse-grained self-testing
| Autor: | Frérot, Irénée, Acín, Antonio |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 127, 240401 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.127.240401 |
| Popis: | Self-testing is a device-independent method that usually amounts to show that the maximal quantum violation of a Bell's inequality certifies a unique quantum state, up to some symmetries inherent to the device-independent framework. In this work, we enlarge this approach and show how a coarse-grained version of self-testing is possible in which physically relevant properties of a many-body system are certified. For that we study a Bell scenario consisting of an arbitrary number of parties and show that the membership to a set of (entangled) quantum states whose size grows exponentially with the number of particles can be self-tested. Specifically, we prove that a many-body generalization of the chained Bell inequality is maximally violated if and only if the underlying quantum state is equal, up to local isometries, to a many-body singlet. The maximal violation of the inequality therefore certifies any statistical mixture of the exponentially-many orthogonal pures states spanning the singlet manifold. Comment: Published version |
| Databáze: | arXiv |
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