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List of open problems
This page contains information taken directly from Reinhard Werner's webpage.
On this page we collect problems in Quantum Information Theory we or our contributors find worthy of attention. The list is ordered by "last submission on top". Numbering is kept stable, so you can refer to the problems by number. Click on the title to find the statement of the problem and some information on known partial results. This information will be updated whenever significant progress is brought to our attention.
To make this page interesting we obviously need input from the community, so please contribute good problems. By this we mean problems in Quantum Information Theory, which are stated in a self-contained way in the current terminology of the field, are open to the best of your knowledge, and pose an interesting challenge to other researchers. We will make an effort to publish all good problems quickly, but may reject contributions we find less suitable.
Send contributions by email to <r.werner@tu-bs.de>. The format of contributions is free. Text written in simple LaTeX, and divided into sections such as Problem/ Background/ Partial Results/ Remarks/ Literature creates the smallest workload for us.
Suggested further problems
We, the administrators of the Braunschweig open problem pages, will periodically check these contributions and move the ones we find most interesting to the main list.
Please leave your contact information so we can add it as in the list above.
Below is a very short sample problem with the main sections.
Maximal rate function for estimation
Problem
Show that there is no state estimation procedure whose large deviation rate function is equal to the relative entropy.
Background
It is known from hypothesis testing that the relative entropy is an upper bound to the rate function.
Literature
- M. Keyl, Quantum state estimation and large deviations, quant-ph/0412053
