In this research from the whispering gallery modes generated by micro PANDA ring resonator the reduced trapping harmonics potential in the short range regime where the interaction was represented by a coupling between ions – electric field were established and analyzed. It was found that the deep potential well was proportional to electric intensity and the damping polarized transition rate of the dipole. The application of this trapping potential in quantum information engineering was showed many good evidences such as quantum CNOT gate for both single and two qubits as well.

This research presents a study about extrudate swell properties of high density polyethylene melts in annular die extruded in a capillary rheometer through 3 types of annular die: normal annular die convergent annular die and divergent annular die. Each type of die had a die gap of 1mm 1.5 mm and 2 mm respectively. Results of the experiment showed that extrudate swell of high density polyethylene melts occurred in both diameter swell and thickness swell ratio. The swell measured in all 3 types of die tended to be higher with the increase of shear rate and the decrease of 2 mm 1.5 mm to 1 mm die gap by an average of 12%. This occurrence could be explained from measurement of flow properties in all 3 types of die which had increasing shear stress due to the decrease of die gap by an average of 10%. Moreover it was also found that the thickness swell ratio was higher than the diameter swell by an average of 45% in all sizes of die gap. This could be explained from the Stress distribution which was more dense at the mandrels surface when the die gap of annular die decreased.

The stochastic process and the squeezed state representation of photons was applied to study the propagation of the entangled photons produced in a nonlinear micro PANDA ring resonator. The four-wave mixing process for generating entangled photon is also analyzed to get the stochastic equation of motion of the entangled photon states. The external spectrum correlation for entangled photon generation is also achieved in analytic form. The results are appropriate to be a quantum processing device to use in quantum computer.

The propagation of photon states in a nonlinear micro - PANDA ring resonator are studied and analyzed. The squeezed state representation of photon can be achieved via four – wave mixing process in the micro-ring resonator. The effect of thermal noise is also studied to optimum the validity of the next application in the CPU of quantum computer.