Institute for Theoretical Physics
Albert-Einstein Allee 11
D-89081 Ulm, Germany
My Research Interests
Physics is about information. The aim is to have a self-consistent, simple theory that allows to predict as good as possible what happens given the current (or also hypothetical) information. But what is information? It is clear that the amount of information one has, decreases, the more one projects into the future. Not because this is some fundamental law of nature, but simply because the current description, if it is good, should account for possible future behaviours. If one knows that the system will equilibrate at some point and one has no control over the quantum effects, energy conservation is enough to give a clear physical meaning to information gain or loss as work-difference (see http://iopscience.iop.org/article/10.1088/1367-2630/17/7/073001/meta).
But what about quantum information? Is there a difference to the classical one? The fact that quantum computers (once they exist) may perform much better than classical ones, clearly suggests that there is a huge difference. Quantum computers use quantum correlations to enhance performance. But what are quantum corrleations? A good candidate is entanglement, as it is a clear quantum feature and it is about correlations. But one can have a quantum speed-up without having entangelement in some protocols. Another possible candidate is discord, but discord is not convex, which means one can produce it by forgetting which state one prepared. We made some progress in the question of what quantum correlations are, analysing the control of a quantum system, checking what happens if the controlling system is itself quantum and applying the resulting resource theory to a specific protocol (see http://arxiv.org/abs/1512.07486).
A measure of majorization emerging from single-shot statistical mechanics
Egloff, O. C. O. Dahlsten, R. Renner and V. Vedral
New J. Phys. 17 073001
A note on coherence power of N-dimensional unitary operators
García-Díaz, D. Egloff, M.B. Plenio
On the Resource Theory of Control of Quantum Systems
M. Matera, D. Egloff, N. Killoran, M. B. Plenio