Applications of the generalized bell scenarios

• Grant number: 23/12979-3
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: January 15, 2024
• End date: July 14, 2024
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Marcelo de Oliveira Terra Cunha
• Grantee: Lucas Emanuel Antunes Porto
• Supervisor: Elham Kashefi
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Université Paris-Sorbonne (Paris 4), France
• Associated to the scholarship: 23/04197-5 - Resource Quantification in Bell Generalized Scenarios, BP.MS

Abstract

Bell nonlocality and quantum contextuality stand as two of the most instigating nonclassical phenomena in quantum theory. Notably, they have been shown to yield quantum advantages in a plethora of information processing tasks. Nonlocality, for example, can be used to establish secure cryptographic keys, while contextuality has a profound connection with promising models of quantum computation. Recently, it has been shown that these two resources can be simultanously observed in the framework of the so-called generalized Bell scenarios - Bell scenarios where at least one of the parties is able to perform compatible measurements at each round of the experiment. Thus, considering the application potentials of nonlocality and contextuality, this fact naturally motivates an investigation into how they can be jointly explored for practical applications in such scenarios. This is the main goal of this project. In the first place, we aim at studying how these scenarios can be used in order to improve known protocols based only on either nonlocality or contextuality, such as key distribution or randomness generation protocols. Moreover, we will also explore new kinds of tasks for which these scenarios can provide quantum advantages. In this direction, a prominent first candidate is to explore the usefulness of nonlocality for communication and the usefulness of contextuality for computation to seek connections with the concept of blind quantum computation. (AU)