This book set introduces "multiple-valued quantum-DNA computing" and "multiple-valued DNA-quantum computing", a noble combination of quantum physics and molecular biology. Multiple-Valued Computing in Quantum Molecular Biology, Two Volume Set, is a blend of quantum physics and theoretical computer science that allows it to be more unique and faster than current silicon-based multiple-valued computing systems. Multiple-valued Quantum computing is an exciting topic for multiple-valued computing systems since it addresses many problematic multiple-valued traditional computer concerns. Volume one, Multiple-Valued Computing in Quantum Molecular Biology: Arithmetic and Combinational Circuits, introduces Multiple-Valued Quantum Computing and DNA Computing. It contains the basic understandings of Multiple-Valued Quantum Computing, Multiple-Valued DNA Computing. Part two reviews heat calculation, speed calculation, heat transfer, data conversion and data management in multivalued quantum, DNA,