



@article {2223,
	title = {Parallel Self-Testing of the GHZ State with a Proof by Diagrams},
	journal = {EPTCS },
	volume = {287},
	year = {2019},
	month = {01/29/2019},
	pages = {43-66},
	abstract = {<p>Quantum self-testing addresses the following question: is it possible to verify the existence of a multipartite state even when one\&$\#$39;s measurement devices are completely untrusted? This problem has seen abundant activity in the last few years, particularly with the advent of parallel self-testing (i.e., testing several copies of a state at once), which has applications not only to quantum cryptography but also quantum computing. In this work we give the first error-tolerant parallel self-test in a three-party (rather than two-party) scenario, by showing that an arbitrary number of copies of the GHZ state can be self-tested. In order to handle the additional complexity of a three-party setting, we use a diagrammatic proof based on categorical quantum mechanics, rather than a typical symbolic proof. The diagrammatic approach allows for manipulations of the complicated tensor networks that arise in the proof, and gives a demonstration of the importance of picture-languages in quantum information.</p>},
	doi = {https://doi.org/10.4204/EPTCS.287.3},
	url = {https://arxiv.org/abs/1806.04744},
	author = {Spencer Breiner and Amir Kalev and Carl Miller}
}
