HAMILTONIAN LOGIC GATES: COMPUTING INSIDE A MOLECULE
Using an intramolecular single-electron transfer process, we show how computing inside a quantum system can be performed using the time evolution driven by the preparation of the system in a nonstationary state. The molecule Hamiltonian is separated in three parts: the input, calculation, and output parts. Two optimization procedures are described in order to design an efficient monoelectronics level structure for molecular logic gates. An XOR gate and a half-adder using six electronic quantum levels are presented in a prospect to integrate a full logic gate inside a single molecule without forcing the molecule to have the shape of an electrical circuit. We foresee the merger of molecular electronics with quantum computation at the nanoscale.