Artículo
Certifying sets of quantum observables with any full-rank state
Autor/es | Xu, Zhen-Peng
Saha, Debashis Bharti, Kishor Cabello Quintero, Adán |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada II |
Fecha de publicación | 2024-04-03 |
Fecha de depósito | 2024-04-24 |
Publicado en |
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Resumen | We show that some sets of quantum observables are unique up to an isometry and have a contextuality witness that attains the same value for any initial state. We prove that these two properties make it possible to certify ... We show that some sets of quantum observables are unique up to an isometry and have a contextuality witness that attains the same value for any initial state. We prove that these two properties make it possible to certify any of these sets by looking at the statistics of experiments with sequential measurements and using any initial state of full rank, including thermal and maximally mixed states. We prove that this “certification with any full-rank state” (CFR) is possible for any quantum system of finite dimension d ≥ 3 and is robust and experimentally useful in dimensions 3 and 4. In addition, we prove that complete Kochen-Specker sets can be Bell self-tested if and only if they enable CFR. This establishes a fundamental connection between these two methods of certification, shows that both methods can be combined in the same experiment, and opens new possibilities for certifying quantum devices. |
Agencias financiadoras | Ministerio de Ciencia, Innovación y Universidades (MICINN). España Agencia Estatal de Investigación. España National Natural Science Foundation of China Anhui Provincial Natural Science Foundation Alexander von Humboldt Foundation |
Identificador del proyecto | PID2020-113738 GB-I00
12305007 2308085QA29 |
Cita | Xu, Z., Saha, D., Bharti, K. y Cabello Quintero, A. (2024). Certifying sets of quantum observables with any full-rank state. Physical Review Letters, 132(14) (140201), 140201-1-140201-6. https://doi.org/10.1103/PhysRevLett.132.140201. |
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