PIRSA:20120017

Self-testing Bell inequalities from the stabiliser formalism and their applications

Baccari, F. (2020). Self-testing Bell inequalities from the stabiliser formalism and their applications. Perimeter Institute. https://pirsa.org/20120017

Baccari, Flavio. Self-testing Bell inequalities from the stabiliser formalism and their applications. Perimeter Institute, Dec. 11, 2020, https://pirsa.org/20120017 

          @misc{ pirsa_PIRSA:20120017,
            doi = {10.48660/20120017},
            url = {https://pirsa.org/20120017},
            author = {Baccari, Flavio},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Self-testing Bell inequalities from the stabiliser formalism and their applications},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {dec},
            note = {PIRSA:20120017 see, \url{https://pirsa.org}}
          }

Flavio Baccari Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)

DOI 10.48660/20120017
Collection
Talk Type Scientific Series
Subject

Abstract

I will introduce a tool to construct self-testing Bell inequalities from the stabiliser formalism and present two applications in the framework of device-independent certification protocols. Firstly, I will show how the method allows to derive Bell inequalities maximally violated by the family of multi-qubit graph states and suited for their robust self-testing. Secondly, I will present how the same method allows to introduce the first examples of subspace self-testing, a form of certification that the measured quantum state belongs to a given quantum error correction code subspace, which remarkably includes also mixed states.