Non-classical properties and algebraic characteristics of negative binomial states in quantized radiation fields

We study the nonclassical properties and algebraic characteristics of the negative binomial states introduced by Barnett recently. The ladder operator formalism and displacement operator formalism of the negative binomial states are found and the algebra involved turns out to be the SU(1,1) Lie algebra via the generalized Holstein-Primarkoff realization. These states are essentially Peremolov's SU(1,1) coherent states. We reveal their connection with the geometric states and find that they are excited geometric states. As intermediate states, they interpolate between the number states and geometric states. We also point out that they can be recognized as the nonlinear coherent states. Their nonclassical properties, such as sub-Poissonian distribution and squeezing effect are discussed. The quasiprobability distributions in phase space, namely the Q and Wigner functions, are studied in detail. We also propose two methods of generation of the negative binomial states.Comment: 17 pages, 5 figures, Accepted in EPJ

Building quantum neural networks based on swap test

Artificial neural network, consisting of many neurons in different layers, is an important method to simulate humain brain. Usually, one neuron has two operations: one is linear, the other is nonlinear. The linear operation is inner product and the nonlinear operation is represented by an activation function. In this work, we introduce a kind of quantum neuron whose inputs and outputs are quantum states. The inner product and activation operator of the quantum neurons can be realized by quantum circuits. Based on the quantum neuron, we propose a model of quantum neural network in which the weights between neurons are all quantum states. We also construct a quantum circuit to realize this quantum neural network model. A learning algorithm is proposed meanwhile. We show the validity of learning algorithm theoretically and demonstrate the potential of the quantum neural network numerically.Comment: 10 pages, 13 figure

Quantum phase transition of Bose-Einstein condensates on a ring nonlinear lattice

We study the phase transitions in a one dimensional Bose-Einstein condensate on a ring whose atomic scattering length is modulated periodically along the ring. By using a modified Bogoliubov method to treat such a nonlinear lattice in the mean field approximation, we find that the phase transitions are of different orders when the modulation period is 2 and greater than 2. We further perform a full quantum mechanical treatment based on the time-evolving block decimation algorithm which confirms the mean field results and reveals interesting quantum behavior of the system. Our studies yield important knowledge of competing mechanisms behind the phase transitions and the quantum nature of this system.Comment: 12 pages, 7 figure

Original Article 5-Aza-CdR can reverse gefitinib resistance caused by DAPK gene promoter methylation in lung adenocarcinoma cells

Abstract: To explore the relationship between death associated protein kinase (DAPK) gene promoter methylation and gefitinib resistance in Lung adenocarcinoma cell lines. EGFR-mutation lung adenocarcinoma cell lines PC9 and the gefitinib-resistant with T790M Mutation cell lines PC9/GR were chosen as cell models, and PC9/GR were treated with 5-aza-CdR (1 μmol/L). The experiments were divided into three groups: PC9 group, PC9/GR group and PC9/GR with 5-Aza-CdR pretreatment group. Treat three groups cell with different concentrations gefitinib, the cell proliferation was determined by MTT assay. The apoptotic rates were detected by flow cytometry. The methylation of DAPK gene promoter region was examined by methylation-specific PCR (MSP). The expressions of DAPK protein were detected by Western blot. MTT results showed that the half maximal inhibitory concentration (IC50) of PC9 and PC9/GR cell lines increase from 0.12 μmol/L to 8.52 μmol/L. But after treated with 5-aza-CdR, the IC50 of PC9/GR cell lines decrease to 4.35 μmol/L, and the resistance index (RI) decrease from 71 to 36 (P<0.05). Flow cytometry results showed that the apoptosis rate were 24.80%±0.28%, 12.70%±0.31%, 19.8%±0.15% respectively. MSP results showed that DAPK gene promoter region was un-methylated in PC9 cells and methylated in PC9/GR cells, when treated with 5-aza-CdR, DAPK gene promoter region was partly methylated in PC9/GR cells (P<0.05). Western blot results showed that the levels of DAPK protein were reduced significantly in PC9/GR cell lines compared with PC9, and after treated with 5-aza-CdR, the expression levels of DAPK protein in PC9/GR were increased (P<0.05). In conclusion, DAPK gene promoter methylation may contribute to the downregulation of DAPK gene and protein, and consequently affect the sensitivity of gefitinib in lung adenocarcinoma lines, induced gefitinib resistance. But 5-Aza-CdR can reverse gefitinib resistance by demethylation of DAPK gene promoter