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Certification of local entangled states

Grant number: 21/13798-7
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): May 01, 2022
Effective date (End): July 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Rafael Luiz da Silva Rabelo
Grantee:Gabriela Ruiz
Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:18/07258-7 - Entanglement, bell nonlocality, and physical principles for quantum theory, AP.JP


Entanglement and Bell nonlocality are two distinct manifestations, despite intrinsically correlated, of the nonclassicality of composite quantum systems. It is well known that entanglement is necessary for nonlocality, however, and surprisingly, there are entangled states of composite quantum systems that are incapable of showing nonlocality. Such states do not have a closed description and little is known about them, even in simple systems, such as two-qubit systems. The objective of this project is to investigate local entangled states by means of the implementation and development of two numerical methods to certify their locality: (I) one method based on convex optimization, already implemented and studied in a rather rudimentary way, with broad margins for improvements, and (II) one method based on machine learning, trained by means of the examples obtained from the previous method. (AU)

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