As discussed in the previous chapters, biomolecules and biomolecular processes are meant to apply computational algorithms in DNA computing. Quantum computing involves performing calculations at a scale where quantum mechanical effects are significant. Both of these new computing paradigms have been considered as potential successors to solid-state computers. Both of these qualities could be captured by combining quantum computing and DNA computing. DNA computers could self-assemble quantum logic circuits from DNA strand-attached gates. Furthermore, quantum computers might be built directly from the physical properties of the DNA molecules. This chapter will describe combinational circuits in quantum biology which are known as quantum biocomputing or quantum-DNA computing.