Dear Editor,

please find enclosed a manuscript on a combined theoretical/experimental work on a what we believe is a new approach to assess the quantumness of a physical system. While the combination of quantum physics with computer science led to the emergence of many ideas how to possibly do some useful computation using quantum physics, there have been many exciting inspirations to traditional physics as well.

In the combined theoretical and experimental work we present in this
manuscript, we tried to use very elementary computer science concepts like the
compressibility of data sets to evaluate the "quantumness" of a real physical
system. We find that this plan seems to work, at least for  a maximally
entangled bipartite system, in the sense that the equivalent of an entropic
Bell inequality can be tested and found violated with relatively simple
computational tools applied to measured data.

One of the surprising outcomes of this work is that, at least for the
algorithmic approach in assessing the quantumness of a system, we seem not to
need to make an i.i.d. assumption.

To us, this looks like a funny combination of computer science and quantum
physics that may even help to "understand" entanglement not only in a
statistical, but perhaps algorithmic way. As this aspect may have reasonably
far reaching consequences, and we used openly available compression algorithms
for this demonstration, we feel that the New Journal of Physics with a
tradition in also covering topics between computer science and physics may just be a nice platform to present this work to a wide audience of physicists.

We therefore would kindly ask you to consider a publication.

With Best Regards on behalf of all authors,

Dagomir Kaszlikowski and Christian Kurtsiefer