  The simulation of open quantum dynamics on quantum circuits has attracted
wide interests recently with a variety of quantum algorithms developed and
demonstrated. Among these, one particular design of a unitary-dilation-based
quantum algorithm is capable of simulating general and complex physical
systems. In this paper, we apply this quantum algorithm to simulating the
dynamics of the radical pair mechanism in the avian compass. This application
is demonstrated on the IBM QASM quantum simulator. This work is the first
application of any quantum algorithm to simulating the radical pair mechanism
in the avian compass, which not only demonstrates the generality of the quantum
algorithm, but also opens new opportunities for studying the avian compass with
quantum computing devices.
