Atomic logic

AUGUST STERN

Arbab Ali Khan, Muhammad Suhail Zubairy

A simple scheme for a universal two-bit quantum logic gate is proposed. The scheme uses well defined atomic center-of-mass momentum states interacting with a resonant cavity field in Bragg regime. The cavity field state controls the atomic momentum state while passing through the cavity. The cavity field state acting as controller logic bit and the atomic momentum state as controlled logic bit together perform as a universal quantum logic gate.

Daniel M. Greenberger, Klaus Hentschel, Friedel Weinert

João Inácio da Silva Filho

Paraquantum Logics (P QL ) has its origins in the fundamental concepts of the Paraconsistent Annotated Logics (PAL) whose main feature is to be capable of treating contradictory information.Based on a class of logics called Paraconsistent Logics with annotations of two values (PAL2v), P QL performs a logical treatment on signals obtained by measurements on physical quantities which are considered Observable Variables in the physical world.In the process of application of the P QL the obtained values are transformed in Evidence Degrees and represented on a Lattice of four Vertices where special equations transform these degrees into Paraquantum logical states ψ which propagate.The propagation of Paraquantum logical states provides us with results which can be interpreted and modeled through phenomena studied in physics.Using the Paraquantum equations, we investigate the effects of balancing of Energies and the quantization and transience properties of the Paraquantum Logical Model in real Physical Systems.As a demonstration of the usage of the Paraquantum equations we perform a numerical comparative study that applies the P QL to the Bohr's model to find the energy levels of the Hydrogen atom.It is verified that the values of energy in each level of the Paraquantum logical model of the Hydrogen atom are close to the values found by the conventional way.The results through the Paraquantum Logic allow considering other important properties of the atom, as the forecast of number of electrons in each layer.

Jakob Reichel, W. Hänsel

Gavin K. Brennen, Carlton M. Caves, Poul Jessen +1 more

We propose a new system for implementing quantum logic gates: neutral atoms trapped in a very far-off-resonance optical lattice. Pairs of atoms are made to occupy the same well by varying the polarization of the trapping lasers, and then a near-resonant electric dipole is induced by an auxiliary laser. A controlled-NOT can be implemented by conditioning the target atomic resonance on a resolvable level shift induced by the control atom. Atoms interact only during logical operations, thereby suppressing decoherence.