Dominant Reaction Pathways by Quantum Computing

Characterizing thermally activated transitions in high-dimensional rugged energy surfaces is avery challenging task for classical computers. Here, we develop a quantum annealing scheme to solvethis problem. First, the task of finding the most probable transition paths in configuration space is reduced to a shortest-path problem defined on a suitable weighted graph. Next, this optimizationproblem is mapped into finding the ground state of a generalized Ising model. A finite-size scalinganalysis suggests this task may be solvable efficiently by a quantum annealing machine. Our approach leverages on the quantized nature of qubits to describe transitions between different system's configurations. Since it does not involve any lattice space discretization, it paves the way towards future biophysical applications of quantum computing based on realistic all-atom models.