Enabling computation of correlation bounds for finite-dimensional quantum systems via symmetrisation

Understand

We present a technique for reducing the computational requirements by several orders of magnitude in the evaluation of semidefinite relaxations for bounding the set of quantum correlations arising from finite-dimensional Hilbert spaces.

• The technique, which we make publicly available through a user-friendly software package, relies on the exploitation of symmetries present in the optimisation problem to reduce the number of variables and the block sizes in semidefinite relaxations.
• It is widely applicable in problems encountered in quantum information theory and enables computations that were previously too demanding.
• We demonstrate its advantages and general applicability in several physical problems.