The diamond norm is a norm defined over the space of quantum transformations. This norm has a natural operational interpretation: it measures how well one can distinguish between two transformations by applying them to a state of arbitrarily large dimension. This interpretation makes this norm useful in the study of quantum interactive proof systems. In this note we exhibit an efficient algorit...

A new and efficient algorithm is presented for the coordinate transformation problem of massively three-dimensional networks formed, e.g., by the atoms of crystal fragments or molecular clusters. The new algorithm is based on a divide-and-conquer technique to perform iterative coordinate transformation, applicable even for three-dimensional networks, with linear scaling memory and near linear s...

Zonal Based motion estimation algorithms have been gaining in popularity in video coding. This is due to their superior performance and reduced complexity versus other conventional algorithms. In this paper we propose a further improvement on these algorithms named the Advanced Predictive Diamond Zonal Search (APDZS). The proposed algorithm introduces the concepts of multiple initial predictor ...

Transformer insulating oil nanofluid is made to improve dielectric and thermal properties of the oil by employing nanoparticles with proper properties. In the current work, nanofluids based on transformer mineral oil were prepared by three procedures using diamond nanoparticles with high thermal conductivity, as well as high dielectric properties. It was tried to consider the impacts of surfact...

Diamond, which has excellent physical properties, is attractive for use in industrial applications. Because diamond is rated the highest for hardness and heat conductivity among all known materials, it is widely used for products such as abrasive grains, cutting tools, and heatsinks. Diamond also exhibits excellent transparency even in the ultraviolet range and can be applied to optical tools. ...