The coherence resource theory needs to study the operational value and efficiency which can be broadly formulated as question: when one coherent state converted into another under incoherent operations. We answer this question completely for one-mode continuous-variable systems by characterizing conversion of Gaussian states operations in terms their first second moments. no-go theorem purifica...

We have investigated new Pauli Fibonacci and Lucas quaternions by taking the components of these as Gaussian numbers, respectively. calculated some basic identities for quaternions. Later, generating functions Binet formulas are obtained Furthermore, Honsberger’s identity, Catalan’s Cassini’s been given

We study the problem of estimating temperature Gaussian systems with feasible measurements, namely and photo-detection-like measurements. For we develop a general method to identify optimal measurement numerically, derive analytical solutions in some relevant cases. class single-mode states that includes thermal ones, is either Heterodyne or Homodyne, depending on regime. This contrast setting,...

  Stochastic models such as mixture models, graphical models, Markov random fields and hidden Markov models have key role in probabilistic data analysis. In this paper, we have learned Gaussian mixture model to the pixels of an image. The parameters of the model have estimated by EM-algorithm.   In addition pixel labeling corresponded to each pixel of true image is made by Bayes rule. In fact, ...

This paper presents a novel adaptive neuro-fuzzy inference system based on interval Gaussian type-2 fuzzy sets in the antecedent part and Gaussian type-1 fuzzy sets as coefficients of linear combination of input variables in the consequent part. The capability of the proposed ANFIS2 for function approximation and dynamical system identification is remarkable. The structure of ANFIS2 is very sim...

An adaptive neuro fuzzy inference system based on interval Gaussian type-2 fuzzy sets in the antecedent part and Gaussian type-1 fuzzy sets as coefficients of linear combination of input variables in the consequent part is presented in this paper. The capability of the proposed method (we named ANFIS2) for function approximation and dynamical system identification is remarkable. The structure o...