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Quantum Simulators, Continuous-Time Automata, and Translationally Invariant Systems

Quantum Simulators, Continuous-Time Automata, and Translationally Invariant Systems

The general problem of finding the ground state energy of lattice Hamiltonians is known to be very hard, even for a quantum computer. We show here that this is the case even for translationally invariant systems in 1D. We also show that a quantum computer can be built in a …