In this paper we first establish a lower bound and an upper bound for the `p norms of the Khatri-Rao product of Cauchy-Hankel matrices of the form Hn=[1/ (g + (i + j)h)] n i,j=1 for g = 1/2 and h = 1 partitioned as Hn = ( H (11) n H (12) n

For decoherence processes induced by weak interactions with the environment, a general quantum channel with one noise parameter has been formulated. This channel is called low-noise channel and very useful for investigating the parameter estimation in the leading order. In this paper, we formulate the low-noise channel with multiple unknown parameters in order to address the simultaneous achiev...

In this paper, new methodology – direct approach – for the determination of the attainable CR type bound of the pure state model, is proposed and successfully applied to the wide variety of pure state models, for example, the 2-dimensional arbitrary model, the coherent model with arbitrary dimension. When the weight matrix is SLD Fisher information, the bound is determined for arbitrary pure st...

Optimal performance of delay tracking loops in a binary linearly-modulated system is investigated, which is compared with the Cramer-Rao lower bound and the performance of a tracking loop suggested by the maximumlikelihood timing estimation.

In the paper, by virtue of convolution theorem for Laplace transforms and analytic techniques, author finds necessary sufficient conditions complete monotonicity, inequalities several functions involving polygamma functions. By these results, derives a lower bound function related to sectional curvature Fisher–Rao manifold beta distributions.

SU(1,1) interferometers, based on the usage of nonlinear elements, are superior to passive interferometers in phase sensitivity. However, interferometer cannot make full use photons carrying information as second element annihilates some inside. Here, we focus improving sensitivity and propose a new protocol modified interferometer, where is replaced by beam splitter. We utilize two coherent st...

BACKGROUND Recurrent airway obstruction (RAO), an asthma-like disease, is 1 of the most common allergic diseases in horses in the northern hemisphere. Hypersensitivity reactions to environmental antigens cause an allergic inflammatory response in the equine airways. Cytosine-phosphate-guanosine-oligodeoxynucleotides (CpG-ODN) are known to direct the immune system toward a Th1-pathway, and away ...