## Local controllability of quantum systems

In the case when the interaction of subsystems is given by a graph or more generally by a hypergraph the controllability can be deduced using criteria introduced in~\cite{puchala2012local}.

The notion of hypergraphs is also useful to assure controllability of multipartite quantum systems~\cite{puchala2012local}.

A hypergraph is a concept that generalizes the concept of a graph by allowing edges to connect more than two nodes at once. Based on this, the notion of hypergraphs was proven to be useful to assure controllability of multipartite quantum systems~\cite{puchala2012local}.

@article{puchala2012local, title = {Local controllability of quantum systems}, issn = {1570-0755}, url = {http://www.springerlink.com/content/q3v875t786h28x41/abstract/}, doi = {10.1007/s11128-012-0391-x}, journal = {Quantum Information Processing}, author = {Puchała, Zbigniew}, keywords = {Physics and Astronomy}, pages = {1--8}, year = {2012} }

## Quantum Prisoner's Dilemma game on hypergraph networks

The notion of hypergraphs is also useful to model multiplayer quantum games~\cite{pawela_quantum_2012}.

Another interesting application of the concept of hypergraphs are multiplayer quantum games~\cite{pawela_quantum_2012}.

@article{pawela_quantum_2012, title = {Quantum Prisoner's Dilemma game on hypergraph networks}, url = {http://arxiv.org/abs/1202.5934}, journal = {{arXiv:1202.5934}}, author = {Pawela, Ł and Sładkowski, J.}, month = feb, year = {2012}, keywords = {Physics - Physics and Society, Quantum Physics} }