4 papers · 1 filter
Numerical study of computational cost of maintaining adiabaticity for long paths
Thomas D. Cohen, Hyunwoo Oh, Veronica Wang
Recent work argued that the scaling of a dimensionless quantity with path length is a better proxy for quantifying the scaling of the computational cost of maintaining adiaba…
Practical limitations of the switching theorem for adiabatic state preparation
Thomas D. Cohen, Andrew Li, Hyunwoo Oh +1
The viability of adiabatic quantum computation depends on the slow evolution of the Hamiltonian. The adiabatic switching theorem provides an asymptotic series for error estimates i…
Asymptotic errors in adiabatic evolution
Thomas D. Cohen, Hyunwoo Oh
The adiabatic theorem in quantum mechanics implies that if a system is in a discrete eigenstate of a Hamiltonian and the Hamiltonian evolves in time arbitrarily slowly, the system…
Corrections to adiabatic behavior for long paths
Thomas D. Cohen, Hyunwoo Oh
The cost and the error of the adiabatic theorem for preparing the final eigenstate are discussed in terms of path length. Previous studies in terms of the norm of the Hamiltonian a…