1. A problem solving system comprising: a quantum processor comprising at least two qubits and at least one coupling device; and a digital computer comprising: a network connection that allows a remote user to remotely access the problem solving system; a receiver that receives a computational problem processing request from the remote user via the network connection and returns a solution to the computational problem processing request to the remote user via the network connection; a quantum processor interface that converts the computational problem processing request into instructions receivable by the quantum processor, initializes and evolves the quantum processor in accordance with the instructions, and reads out a state of at least one qubit in the quantum processor; and an accounting manager that determines a processing cost associated with returning the solution to the computational problem processing request.