This paper marks the beginning of a new (and hopefully long-lasting) theoretical-experimental collaboration with David Novoa and his outstanding group focused on developing quantum technologies based on the hollow-core optical fiber platform—a field that remains largely unexplored to date.

We propose here the first quantum model of light-matter interaction in gas-filled hollow-core fibers. We show that, in the semi-classical limit, the model recovers the traditional equations, while also enabling the prediction of entanglement dynamics during the Raman transduction process.

The Lloyd-Mohseni-Rebentrost (LMR) protocol allows for implementing matrix exponentiation when copies of a quantum state are available. However, in a realistic scenario, the copies are limited and the noncloning thm prevents one from producing exact copies to increase the accuracy of the protocol.

In this paper, we propose a method to circumvent this limitation by introducing imperfect quantum copies, which significantly improve the performance of the LMR when the eigenvectors are known.