Nanodot-Cavity Electrodynamics and Photon Entanglement

Quantum electrodynamics of excitons in a cavity is shown to be relevant to quantum operations. We present a theory of an integrable solid-state quantum controlled-phase gate for generating entanglement of two photons using a coupled nanodot-microcavity-fiber structure. A conditional phase shift of $O(\pi/10)$ is calculated to be the consequence of the giant optical nonlinearity keyed by the excitons in the cavities. Structural design and active control, such as electromagnetic induced transparency and pulse shaping, optimize the quantum efficiency of the gate operation.Comment: 4 pages 3 figure

A Hybrid Quantum Encoding Algorithm of Vector Quantization for Image Compression

Many classical encoding algorithms of Vector Quantization (VQ) of image compression that can obtain global optimal solution have computational complexity O(N). A pure quantum VQ encoding algorithm with probability of success near 100% has been proposed, that performs operations 45sqrt(N) times approximately. In this paper, a hybrid quantum VQ encoding algorithm between classical method and quantum algorithm is presented. The number of its operations is less than sqrt(N) for most images, and it is more efficient than the pure quantum algorithm. Key Words: Vector Quantization, Grover's Algorithm, Image Compression, Quantum AlgorithmComment: Modify on June 21. 10pages, 3 figure

Photoluminescence properties of the red phosphor YInGe2O7:Eu3+

Eu3+-doped YInGe2O7 phosphors were prepared via a solid-state reaction with metal oxides and their excitation and emission spectra were measured at room temperature. The results showed that pure-phase YInGe2O7 could be obtained after firing at 1250 °C. The maximum photoluminescence intensity of YInGe2O7:Eu3+ phosphor was achieved when doped with 40 mol% Eu3+ ions. Compared with Y2O2S:0.05Eu3+, the Y0.60InGe2O7:Eu3+0.40 phosphor obtained showed intense red-emission lines at 616 nm, corresponding to forced electric dipole 5D0 → 7F2 transitions of Eu3+ under 394 nm light excitation. The International Commission on Illumination chromaticity coordinates of the phosphors (x = 0.644, y = 0.356) of Y0.60InGe2O7:Eu3+0.40 were close to National Television Standard Committee standard values. As such, the synthesized phosphors may find applications in near ultraviolet InGaN chip-based white light-emitting diodes. KEY WORDS: Optical materials, X-Ray diffraction, Luminescence, Solid state reaction Bull. Chem. Soc. Ethiop. 2013, 27(2), 315-319.DOI: http://dx.doi.org/10.4314/bcse.v27i2.1

Normal families and fixed points of iterates

Let F be a family of holomorphic functions and let K be a constant less than 4. Suppose that for all f in F the second iterate of f does not have fixed points for which the modulus of the multiplier is greater than K. We show that then F is normal. This is deduced from a result about the multipliers of iterated polynomials.Comment: 5 page

Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions

The microscopic description of heavy-ion reactions at low beam energies is achieved within hadronic transport approaches. In this article a new approach SMASH (Simulating Many Accelerated Strongly-interacting Hadrons) is introduced and applied to study the production of non-strange particles in heavy-ion reactions at $E_{\rm kin}=0.4-2A$ GeV. First, the model is described including details about the collision criterion, the initial conditions and the resonance formation and decays. To validate the approach, equilibrium properties such as detailed balance are presented and the results are compared to experimental data for elementary cross sections. Finally results for pion and proton production in C+C and Au+Au collisions is confronted with HADES and FOPI data. Predictions for particle production in $\pi+A$ collisions are made.Comment: 30 pages, 30 figures, replaced with published version; only minor change