The power and limitations of self-testing - David Rasmussen Lolck | TQC 2023
Channel: Squid: Schools for Quantum Information Development
Date: 22/08/2023

David Rasmussen Lolck
The power and limitations of self-testing 

https://github.com/Derzeed/Strengths-and-limitations-of-Self-Testing/blob/main/Strengths-and-limitations.pdf
Self-testing results allow us to characterize measurements and states in a quantum device from classical output probabilities in a nonlocal game. However, there is some variation in how the individual self-testing statements are stated and proven, including whether they apply robustly or assume purity of the state or protectiveness of the measurements.

We investigate these differences, and as one of our main results show that if the reference strategy of a given game has full Schmidt rank, the notions of self-testing strategies using either mixed or pure states coincide. Additionally, we show by example that not all types of self-testing statements are equivalent: We both provide an example of a nonlocal game which is an exact, but not a robust, self-test, and an example of another game which does not self-test any state. 

July 24, 2023
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TQC 2023 | 24-28 July 2023, University of Aveiro, Portugal
http://tqc-conference.org

18th Conference on the  Theory of Quantum Computation, Communication and Cryptography.

TQC is a leading annual international conference for students and researchers working in the theoretical aspects of quantum information science. The scientific objective is to bring together the theoretical quantum information science community to present and discuss the latest advances in the field.


Organisation:
Squids - Schools for Quantum Information Development  
Universidade de Aveiro: Departamento de Matemática, CIDMA & Fábrica


Sponsors:
Phasecraft, UK
Google Quantum AI, USA
QuSoft, The Netherlands
Quantum for Life Centre, Denmark
Technology Innovation Institute, UAE
ML4Q, Germany
Dulwich Quantum