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An efficient approach for preparing ground states in the context of stronglyinteracting local quantum field theories on quantum computers is presented. Thealgorithm belongs to the same class as traditional adiabatic state preparationtechniques and methods based on quantum Zeno effect in that it starts with aground state of an analytically calculable system and evolves the parameters ofthe Hamiltonian to the one of interest while maintaining the ground state alongthe path in parameter space. The approach produces the vacuum state in a timeproportional to the square-root of the volume, which is a square-rootimprovement in speed compared to traditional approaches. The approach exploitsa novel method for traversing the path in parameter space in which theresources scale linearly with a path length suitably defined in parameterspace. Errors due to practical limitations are controlled and do not exhibitsecular growth along the path. The final accuracy can be arbitrarily improvedwith an additive cost, which is independent of the volume and grows slower thanlogarithmically with the overlap between the state produced and the exactground state.

Efficient vacuum state preparation for quantum simulation of strongly interacting local quantum field theories