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Trotter Product Formulae for $$*$$-Automorphisms of Quantum Lattice Systems

Trotter Product Formulae for $$*$$-Automorphisms of Quantum Lattice Systems

We consider the dynamics t↦τt of an infinite quantum lattice system that is generated by a local interaction. If the interaction decomposes into a finite number of terms that are themselves local interactions, we show that τt can be efficiently approximated by a product of n automorphisms, each of them …