Self-testing protocols for graph states

• Grant number: 24/09165-7
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Start date: July 01, 2024
• End date: June 30, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Bárbara Lopes Amaral
• Grantee: Gabriel Moniz Arantes
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 20/06454-7 - Non-locality and contextuality as resources for quantum information, quantum computation and the certification of quantum devices, AP.JP

Abstract

As discovered by John Bell, one of the consequences of entanglement is the existence of quantum non-local correlations, that is, correlations obtained by local measurements on distant parts of a quantum system that are incompatible with local hidden-variable models. Quantum non-locality is a necessary ingredientfor the advantage of quantum systems over their classical counterparts in a myriad of situations. Non-locality is an essential ingredient in several device-independent protocols involving multipartite systems, in measurement-based quantum computation, and in the generation of genuinely random numbers. Another important application of quantum non-locality is the development ofself-testing protocols, which consists of a method to infer the underlying physics of a quantum experiment based exclusively on the probability distributions given by the experiment. It is the strongest form of certification for quantum systems and hence plays a central role in the development of quantum technology. Withthe development of noisy intermediate-scale quantum computers reaching the limit of quantum computational advantage, developing certification methods that guarantee that a quantum device is functioning as expected is an imperative task.In this project we seek the development of robust self-testing protocols that can be applied to graph states in discrete and continuous variables, focusing on the possibility of experimental implementations in collaboration with different groups, specially the group of Coherent Manipulation of Atoms and Light of the Universityof São Paulo.