A quantum digital half adder inside a single molecule

Abstract A dinitro[1,3]anthracene molecule is shown to perform an half adder logic function with no resemblance to the topology of an electronic circuit performing the same function. The logic function is obtained by the control of the molecule quantum trajectory in its molecular orbitals electronic quantum state space by changing the conformation of the NO 2 groups, starting from an initial non-stationary state independent of the input configuration. Time dependent quantum interference effects controlled by the relative position and degeneracy of the molecule eigenstates is at the origin of this half adder logic gate.

[1]  Christian Joachim,et al.  Molecular ‘OR’ and ‘AND’ logic gates integrated in a single molecule , 2003 .

[2]  C. Joachim.  Tuning of through-bond electronic coupling by donor and acceptor substitutions in the [(NH3)5Ru—1,4-dicyanobenzene—Ru(NH3)5]5+ complex , 1991 .

[3]  J. Gimzewski,et al.  An electromechanical amplifier using a single molecule , 1997 .

[4]  C. Joachim,et al.  Balancing a four-branch–single-molecule nanoscale Wheatstone bridge , 2003 .

[5]  C. Joachim.  Control of the quantum path-target state distance: bistable-like characteristic in a small tight-binding system , 1987 .

[6]  C Joachim,et al.  Conformational changes of single molecules induced by scanning tunneling microscopy manipulation: a route to molecular switching. , 2001, Physical review letters.

[7]  C. Joachim,et al.  Controlled manipulation of a single molecular wire along a copper atomic nanostructure , 2004 .

[8]  Tutorial: Bonding more atoms together for a single molecule computer , 2002 .

[9]  F. L. Carter.  The molecular device computer: Point of departure for large scale cellular automata , 1984 .

[10]  J.C. Ellenbogen,et al.  Architectures for molecular electronic computers. I. Logic structures and an adder designed from molecular electronic diodes , 2000, Proceedings of the IEEE.

[11]  U. Fano.  Description of States in Quantum Mechanics by Density Matrix and Operator Techniques , 1957 .

[12]  N. Cerf,et al.  Intramolecular Hamiltonian logic gates , 2004 .

[13]  G. Nazin,et al.  Visualization and Spectroscopy of a Metal-Molecule-Metal Bridge , 2003, Science.

[14]  Harvey Cohn,et al.  Almost Periodic Functions , 1947 .

[15]  Christian Joachim,et al.  Integrating logic functions inside a single molecule , 2004 .

[16]  Françoise Remacle,et al.  Towards a molecular logic machine , 2001 .

[17]  Richard Phillips Feynman,et al.  Quantum mechanical computers , 1984, Feynman Lectures on Computation.

[18]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[19]  Christian Joachim,et al.  Probing the different stages in contacting a single molecular wire. , 2003, Physical review letters.

[20]  R. Mosseri,et al.  Geometry of entangled states, Bloch spheres and Hopf fibrations , 2001, quant-ph/0108137.