This project lasted 8 months in total.
One publiication that resulted from the work done in this period , 'Quantum network routing and local complementation: Frederik Hahn, Anna Pappa and Jens Eisert, NPJ Quantum Information 5, 76 (2019).'. In this work, we explore different approaches of routing quantum information over a network, by using graph theoretic results and local quantum operations. One other work is also underway, that tries to impement some of the methods proposed in the paper above, using remote quantum servers.
There are also some preliminary results on verification of quantum resources, extending previous research to graph states, and specifically on what is called 'Absolutely Maximally Entangled' states (AME), which have specific types of symmetries. Lack of symmetries in general graph states prohibited a straight-forward generalisation of the techniques that I was planning to use, therefore I have decided to concentrate as a starting point, to states that show some different type of symmetry, and that have not been studied before in such an adversarial verification setting.
Regarding composability, during my stay at Caltech university, I have formed a collaboration with the Quantum Group there, and we are at this point working on extending settings of multiparty delegated computation, to achieving more general adversarial scenarios that are composably secure. This work is still ongoing.
For the duration of the project, I have also coordinated the submission of a review on Quantum Electronic voting, which got substantially extended to include the first formal definitions of security. This work is submitted to the journal AMC TQC.
