Polynomial time algorithms for estimating spectra of adiabatic Hamiltonians
Jacob Bringewatt, W. Dorland, Stephen P. Jordan · Physical Review A · 2019
Addressing the computational power of adiabatic quantum algorithms is a big challenge and simplified symmetric systems are often used to advance in this arena. Here, a more realistic and less symmetrical system is analyzed using a tight-binding approach, and a toy model is constructed to provide insight into two traditional problems: adiabatic search in an unstructured environment and adiabatic simulation of ground states.