By performing a Majorana transformation on the total molecular Hamiltonian op-erator for electrons adiabatically following nuclear motion, the electrons in a hydrogen bond in DNA can be treated as a chain of quasiparticles resulting in a Kitaevchain with a delocalized fermion state. Delocalized fermions define Majorana qubitswhich can give rise to entanglement and form the foundation of molecular quantuminformation processes. During transcription and replication of DNA hydrogen bondsare severed. This process can be investigated by employing the soliton model for DNA proposed by Peyrard and Bishop. The effects of solitons in the DNA doublehelix are studied and, in particular, their effects on decoherence.