Glued magic games self-test maximally entangled states
Abstract
Self-testing results allow us to infer the underlying quantum mechanical description of states and measurements from classical outputs produced by non-communicating parties. The standard definition of self-testing does not apply in situations when there are two or more inequivalent optimal strategies. To address this, we introduce the notion of self-testing convex combinations of reference strategies, which is a generalisation of self-testing to multiple strategies. We show that the Glued Magic Square game [Quantum 4 (2020), p. 346] self-tests a convex combination of two inequivalent strategies. As a corollary, we obtain that the Glued Magic square game self-tests two EPR pairs thus answering an open question from [Quantum 4 (2020), p. 346]. Our self-test is robust and extends to natural generalisations of the Glued Magic Square game.
Keywords
Cite
@article{arxiv.2105.10658,
title = {Glued magic games self-test maximally entangled states},
author = {Laura Mančinska and Thor Gabelgaard Nielsen and Jitendra Prakash},
journal= {arXiv preprint arXiv:2105.10658},
year = {2021}
}
Comments
20 pages, 2 figures. The bounds in Lemmas A.4 and A.5 have been made explicit, with appropriately modified proofs, including fixed typos. The main results remain the same. Parts of this paper have been submitted as a Master's thesis at the University of Copenhagen by the second author