Research group led by Adam Sawicki.
We
are keen on all problems that involve quantum theory and interesting
mathematics. In particular the group members have worked on:
- description of quantum entanglement in many body systems and quantum
marginal problem using symplectic/algebraic geometry and representation
theory
- classification of quantum statistics (anyons) on quantum graphs and quantum networks using algebraic topology
- characterisation of isospectral/isoscattering quantum graphs using representation theory of finite groups
- universality of quantum gates using Lie groups theory and number theory
- efficiency of quantum gates using ideas from the theory of random walks on compact groups
- membership problem for quantum gate-sets
Our
research is funded by the Center for Theoretical Physics PAS and the
National Science Center, Poland through Sonata Bis and Opus grants.
