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Non-locality and contextuality as resources for quantum information, quantum computation and the certification of quantum devices

Abstract

For over fifty years, non-locality and contextuality have played a central role in foundations of quantum physics. More recently, with the development of quantum information science, these intrinsic quantum features have also been identified as resources for numerous practical applications, an observation that raised the interest in a unified operational treatment of non-locality and contextuality. In this project, we pursue a deeper comprehension of these non-classical phenomena as resources for quantum information, quantum computation, and the certification of quantum devices, a key step in science and technology, especially with the development of intermediate scale systems operating on the quantum computational supremacy regime. We expect to derive a complete characterization of different resource theories for contextuality and to use these tools to pin down the role of contextuality and non-locality in applications such as the generation of random numbers, measurement-based quantum computation, and distillation of magic states. In a second stage of the project, our goal is to explore these results to extend the connection of non-locality and self-testing to contextuality scenarios, providing new valuable schemes for certification of quantum devices in protocols that do not necessarily rely on multipartite quantum systems. From the institutional point of view, this project is essential for the consolidation of the Group of Quantum Information and Quantum Foundations of the Institute of Physics of the University of São Paulo, and for the consolidation of our collaboration with some of the most prolific groups working with applications of quantum phenomena to the development and certification of new protocols for information and computation, with important contributions to other areas such as quantum thermodynamics, quantum foundations, quantum optics and many-body physics, from which current and future students will benefit. (AU)

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