Journal
PHYSICAL REVIEW A
Volume 92, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.92.042309
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Funding
- British Engineering and Physical Sciences Research Council (EPSRC)
- Deutsche Forschungsgemeinschaft (DFG) in the collaborative research center [SFB 631, GL 203/7-1, GL 203/7-2]
- EU
- Bavarian network of excellence ExQM
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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. Several physical examples are illustrated, including entanglement invariants, the relation to unitary gate membership problems, as well as the central-spin model.
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