A Simple Protocol for Certifying Graph States and Applications in Quantum Networks
Damian Markham,
Alexandra Krause
Affiliations
Damian Markham
Laboratoire d’Informatique de Paris 6, Centre National de la Recherche Scientifique (CNRS), Université Pierre et Marie Curie (UPMC)-Sorbonne Universites, 75005 Paris, France
Alexandra Krause
Laboratoire d’Informatique de Paris 6, Centre National de la Recherche Scientifique (CNRS), Université Pierre et Marie Curie (UPMC)-Sorbonne Universites, 75005 Paris, France
We present a simple protocol for certifying graph states in quantum networks using stabiliser measurements. The certification statements can easily be applied to different protocols using graph states. We see, for example, how it can be used for measurement based verified quantum computation, certified sampling of random unitaries, quantum metrology and sharing quantum secrets over untrusted channels.