This paper is concerned with constructing an optimal controller in the coherent quantum Linear Quadratic Gaussian problem. A coherent quantum controller is itself a quantum system and is required to be physically realizable. The use of coherent control avoids the need for classical measurements, which inherently entail the loss of quantum information. Physical realizability corresponds to the e...

This work grew out of an attempt to generalize the construction of Chern-Simons invariants. In this paper, we associate a geometric invariant to the space of flat connection on a SU(2)-bundle on a compact Riemann surface and relate it to the energy of harmonic functions on the surface. Our set up is as follows. Let G = SU(2) and M be a compact Riemann surface and E ~ M be the trivial G-bundle. ...

In this paper several results of N. Noble concerning closed projections are extended using generalizations of first countable, Frechet, and sequential spaces. We also consider compactness conditions defined by requiring that certain nets have cluster points.

The tensor t-function, a formalism that generalizes the well-known concept of matrix functions to third-order tensors, is introduced in [K. Lund, t-function: definition for Numer. Linear Algebra Appl. 27 (3), e2288]. In this work, we investigate properties Fr\'echet derivative t-function and derive algorithms its efficient numerical computation. Applications condition number estimation nuclear ...

2,3-Dihydroxybenzylic esters with Frechet-type dendritic branches as the alcohol component form, in a hierarchical self-assembly process, disk shaped dendrimers when titanium(IV) and lithium ions are added.

In the present study an effort has been made to find out the best fitting distribution of wind speed data recorded in Islamabad on a daily basis for the years 2001 to 2003. For this purpose two parameter Gamma, Weibull, Lognormal, Rayleigh, three parameter Burr and Frechet distributions are fitted to data and parameters for each distribution are estimated using the Maximum Likelihood (ML) metho...

We study the C-oriented line simplification problem: Given a polygonal chain P represented by an ordered set of vertices PI , ... , pn in the plane, a set of orientations C, and a constant c, we search for a "C-oriented" polygonal chain Q consisting of the minimum number of line segments that has distance at most c to P in the Frechet metric. A polygonal chain is C-oriented if the line segments...