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Translationally Invariant Universal Quantum Hamiltonians in 1D
Abstract Recent work has characterized rigorously what it means for one quantum system to simulate another and demonstrated the existence of universal Hamiltoniansāsimple spin lattice Hamiltonians that can replicate the entire physics of any other quantum many-body system. Previous universality results have required proofs involving complicated āchainsā of perturbative āgadgets.ā ā¦