Symmetry criteria for quantum simulability of effective interactions

Understand

What can one do with a given tunable quantum device? We provide complete symmetry criteria deciding whether some effective target interaction(s) can be simulated by a set of given interactions.

• Symmetries lead to a better understanding of simulation and permit a reasoning beyond the limitations of the usual explicit Lie closure.
• Conserved quantities induced by symmetries pave the way to a resource theory for simulability.
• On a general level, one can now decide equality for any pair of compact Lie algebras just given by their generators without determining the algebras explicitly.