Systematically Localizable Operators for Quantum Simulations of Quantum Field Theories

Understand

Correlations and measures of entanglement in ground state wavefunctions of relativistic quantum field theories are spatially localized over length scales set by the mass of the lightest particle.

• We utilize this localization to design digital quantum circuits for preparing the ground states of lattice scalar quantum field theories.
• Controlled rotations that are exponentially localized in their position-space extent are found to provide exponentially convergent wavefunction fidelity.
• These angles scale with the correlation between sites and the classical two-point correlation function, as opposed to the more localized mutual information or the hyper-localized negativity.