Application of the Gradient Projection Method to an Optimal Control Problem in Quantum Biology
Quantum biology is an emerging field which seeks to understand and analyze the effects of quantum mechanical phenomena on biological systems. One such phenomenon is the formation of radical pairs, compounds which exist in a quantum superposition of two states until they collapse into one or the other. The probability of the collapse into a preferred state can be calculated from the Schrödinger equation, and is in fact dependent on external magnetic fields. This project utilizes principles of mathematical optimal control and quantum biology to determine the precise sequence of magnetic field pulses that maximize the probability of achieving the desired end state of the radical pair.