Symmetry criteria for quantum simulability of effective interactions

Zoltán Zimborás, Robert Zeier, Thomas Schulte-Herbrüggen, Daniel Burgarth

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25 Citations (SciVal)
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Abstract

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.

Original languageEnglish
Article number042309
JournalPhysical Review A
Volume92
Issue number4
DOIs
Publication statusPublished - 08 Oct 2015

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