Practical Control Laws with Quantum Computation

Quantum computing has been receiving interest in chemical engineering. Chemical engineering involves a broad range of science and engineering problems related for example to transport phenomena, optimization, design and modeling of complex systems. In addition, quantum computing has been receiving engineering attention for applications such as control, where proportional control algorithms implemented on quantum computers were investigated.  In this presentation, we will discuss how an integer program might be developed for attempting to learn an algorithm for quantum chemistry computations for a single qubit, and how the single qubit would not be able to take advantage of all of the properties of quantum computers. We expand the discussion here to present how integer programs might in general be developed for gate selection for specific state measurement/control output relationships to find the gates which can represent a specific action desired by a control law. However, we also will discuss how this does not constitute learning an "algorithm" like the Quantum Fourier Transform-based addition algorithm, because such algorithms are able to adapt a relationship that can be coded to different numbers of total qubits and should correspond to different state/input relationships without the need to "re-code" them.