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Efficient Conversion of Quantum Information Resources

Periodic Reporting for period 2 - RESOURCE Q (Efficient Conversion of Quantum Information Resources)

Reporting period: 2021-06-01 to 2022-11-30

The project studies the conversion of quantum information resources. In contrast to our usual information resources (e.g. internet, hard drive, router, phone), quantum information resources (built e.g. from single photons and single atoms), are fundamentally different and more powerful. The project explores how these new resources can be used to obtain new communication scenarios (better, faster, more secure) and how they can be used to obtain a better description of larger quantum systems (eg. new materials). The project is theoretical, which means that mathematics is employed to achieve the results. In particular, the theory of matrices and tensors (multidimensional arrays of numbers) plays an important role.
We have shown that one can use quantum particles to better verify the position of a person that pretends to be at a different location (quantum position verification), this could, for instance, be used as an additional security token on the internet. We have also shown how to suppress detrimental noise that quantum particles undergo when being prepared for quantum communication (e.g. via a glas fibre). This work could render advanced quantum mechanical codes more practical. We have also given a new description of the wavefunctions (the famous Psi) believed to be relevant in superconductivity, a still elusive, yet technologically relevant, quantum effect.
The work performed in this project has resulted in new tools as well as results that enhance our understanding of the power of quantum information in communication scenarios. In particular, we have shown hitherto unprecedented security guarantees for the verification of a position of an agent as well as noise-resiliant encoding and decoding of quantum information.

Until the end of the project, we expect to further the understanding of quantum communication theory as well as deepen the connection with tensor research.
Illustration of entanglement-based position verification (by Alex Bols)