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

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

Unsupervised feature selection for outlier detection by modelling hierarchical value-feature couplings

© 2016 IEEE. Proper feature selection for unsupervised outlier detection can improve detection performance but is very challenging due to complex feature interactions, the mixture of relevant features with noisy/redundant features in imbalanced data, and the unavailability of class labels. Little work has been done on this challenge. This paper proposes a novel Coupled Unsupervised Feature Selection framework (CUFS for short) to filter out noisy or redundant features for subsequent outlier detection in categorical data. CUFS quantifies the outlierness (or relevance) of features by learning and integrating both the feature value couplings and feature couplings. Such value-To-feature couplings capture intrinsic data characteristics and distinguish relevant features from those noisy/redundant features. CUFS is further instantiated into a parameter-free Dense Subgraph-based Feature Selection method, called DSFS. We prove that DSFS retains a 2-Approximation feature subset to the optimal subset. Extensive evaluation results on 15 real-world data sets show that DSFS obtains an average 48% feature reduction rate, and enables three different types of pattern-based outlier detection methods to achieve substantially better AUC improvements and/or perform orders of magnitude faster than on the original feature set. Compared to its feature selection contender, on average, all three DSFS-based detectors achieve more than 20% AUC improvement

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

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