Nowadays, it is very important to explore the qualitative characteristics of autonomous mobility systems in automobiles, especially disruptive technology like Vehicle to Vehicle (V2V) and Infrastructure to Vehicle (I2V), in order to comprehend how the next generation of automobiles will be developed. In this sense, this research covers a general review about active safety in automobiles where V2V and I2V systems have been implemented; identifying the more realistic possibilities related to V2V and I2V technology and analyzing the current applications, some systems in development process and some future conceptual proposals. Mainly, it is notorious the potential development of mixing V2V and I2V systems pointing to increase the driver's attention; therefore, a configuration between these two technologies and some augmented reality system for automobiles (Head-Up Display and Head-Down Display) is proposed. There is a huge potential of implementation for this kind of configuration once the normative and the roadmap for its development can be widely established.
The main goal of this paper is to apply the Yang-Baxter-Rowell equation in topological quantum
computation, using the symbolic computational software Maple. Initially, using Maple, I reproduced the Dye
classification of the 4x4 unitary solutions of the Yang-Baxter equation. Then, also using Maple, I reproduced
the solutions given by Rebecca Chen to the Yang-Baxter-Rowell equation. Finally, the obtained solutions
were applied to the problem of topological quantum categorification of the chromatic polynomial for graphs.
It was claimed that the Yang-Baxter-Rowell operators, considered as quantum gates, can be incorporated in
quantum circuit models and quantum games, such as the Grover algorithm and the game Battle of the Sexes.
It is expected that a future investigation can provide a more complete classification of the solution to the
Yang-Baxter-Rowell equation and its possible applications on topological quantum computation.