Quantum Error Correction Group

Leader: Felix Huber

The research of this group chiefly focus on the interplay between quantum error correction with entanglement, many-body systems, mathematical physics, and non-commutative algebra. We develop experimentally feasible implementations of quantum codes in higher spin systems and investigate the nonlocal properties of quantum codes. Furthermore, we study new way to detect entanglement by developing non-linear and dimension-free entanglement witnesses. In mathematical physics and non-commutative optimization, we work on tensor polynomial identities as well as on the use of semidefinite programming hierarchies for problems like the spectral quantum marginal problem.
Extended research agenda