Transversal operations are an elegant way to realize fault-tolerant quantum gates. Fault-tolerant quantum computation has been studied in detail over a finite field. In this paper, we derive transversal Clifford operations for CSS codes over nice rings, including Fourier transforms, SUM gates, and phase gates. Transversal operations alone cannot provide a computationally universal set of gates. As an example of a non-transversal gate, we derive fault-tolerant implementations of doubly-controlled Z gates for triorthogonal stabilizer codes over nice rings.
The features of the cultural phenomenon, 'Hybrid Culture,' can be analyzed through the concept of 'Meme,' the cultural gene continuously evolves. The architectural meme also has an effect as the cultural symbol on a space. It can be the solution to the urban problems, lack of contextualization caused by reckless development. Therefore, this study aims to examine the characteristics of the sustainable and effective renewal space by applying the concept of Meme. Theoretical analysis, characteristics of expression, and case study are conducted to analyze the Meme features of the renewal space. Particularly, this study focuses on the Meme features appeared in the Zollverein Coal Mine Industrial Complex in German. The results obtained from this study is as written below. First, Meme renewal space is a design that can solve the contextual deficiency of architecture through the cultural renewal. Second, the true renewal space has the characteristics of meme space that organically changes as if an organism. Third, it is possible to conduct a detailed analysis on the organic characteristics according to the evolving phases-Mimesis, Memeplex, and Metameme. Fourth, the true meaning of sustainable renewal space is the Meme space encompasses the scope of urban. Lastly, the Meme space has a circulation system that each evolving phase, and new and old continuously exchange feedbacks.
<p>The northeast Asia region exhibits complex tectonic settings caused by interactions between Eurasian, Pacific, and Philippine Sea plates. Distributed extensional basins, intraplate volcanoes and other heterogeneous features in the region marked results of the tectonic processes, and their mechanisms related to mantle dynamics can be well understood by estimating radial anisotropy in the lithospherie and asthenospherie. We constructed a three-dimensional radial anisotropy model in northeast Asia using hierarchical and transdimensional Bayesian joint inversion techniques with different types of dispersion data up to the depth of the upper mantle (~ 160 km). Thick and deep layers with positive radial anisotropy (V<sub>SH</sub> > V<sub>SV</sub>) were commonly found at depths between 70 and 150 km beneath the continental regions. On the other hand, depths and sizes of layers with positive radial anisotropy become shallower and thinner (30 ~ 60 km) respectively beneath regions where experienced the Cenozoic extension. These variations in positive radial anisotropy for different tectonic regions can be understood with the context of extensional geodynamic processes in back arc basins within the East Sea (Japan Sea). Interestingly, the most predominant positive radial anisotropy is imaged along areas with large gradient of the litheosphere-asthnosphere boundary beneath intraplate volcanoes. These observations favor the mechanism of edge-driven convection caused by the difference in lithosphere thickness and localized sublithospheric lateral flow from the continental region to back arc basins.</p>
The shelter effect of a porous wind fence on a triangular prism was experimentally investigated in a circulating water channel. A porous fence of porosity .epsilon.=38.5% was installed in front of the prism model. The fence and prism model were embedded in a turbulent boundary layer. The instantaneous velocity fields around the fence and prism model were measured by using the instantaneous velocity fields around the fence and prism model were measured by using the 2-frame PTV(Particle Tracking Velocimetry) system. By installing the fence in front of the prism, the recirculation flow region decreases compared with that of no fence case. The porous fence also decreases the mean velocity, turbulent intensity and turbulent kinetic energy around the prism. Especially, at the top of the prism, the turbulent kinetic energy is about half of that without the fence.
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