Self-testing Bell inequalities from the stabiliser formalism and their applications
APA
Baccari, F. (2020). Self-testing Bell inequalities from the stabiliser formalism and their applications. Perimeter Institute. https://pirsa.org/20120017
MLA
Baccari, Flavio. Self-testing Bell inequalities from the stabiliser formalism and their applications. Perimeter Institute, Dec. 11, 2020, https://pirsa.org/20120017
BibTex
@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}} }
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.