PIRSA:20120017 Scientific Series Quantum Foundations

DOI10.48660/20120017

Series: Quantum Foundations

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}}
}

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.

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