We study quantum information under the restrictions on resources that are allowed to be used. Such limitations arise from the difficulty to implement in practice the most general quantum-information protocols. In particular, we are interested in the following research topics:
In our research we use the combination of convex analysis, group theory, high-dimensional analysis and numerical simulations.
A figure presenting schematically extensions of some restricted model of quantum computation (RQC) by adding extra resources (like extra gates for example) represented by the dashed arrow. Some resources, when added, lead to another restricted class of computation (RQC’) that still may not be interesting from the computational perspective. Some resources promote RQC to universal quantum computation UQC, whereas for others one lands in the grey region representing situation when the exact computational power is not known.