Supersymmetry and Superstring Theory with Engineering Applications

This book provides an introduction to supersymmetry and its engineering applications, such as quantum unitary gates, bosonic and fermionic noise, superstring theory, and simplified versions of super-Yang-Mills theory. It emphasizes exploiting supersymmetry in designing engineering systems and analyzing the performance of systems in the presence of supersymmetric quantum noise.

Format: Hardback
Length: 188 pages
Publication date: 14 November 2022
Publisher: Taylor & Francis Ltd

Supersymmetry is a vast and intricate subject that encompasses a wide range of theoretical and practical applications. In this book, we delve into the realm of supersymmetry, exploring its fundamental principles and its numerous engineering applications.

One of the key aspects of supersymmetry is its ability to provide a unified framework for understanding both bosonic and fermionic systems. This is achieved through the introduction of supersymmetric actions, which allow for the description of particles and fields that are simultaneously bosonic and fermionic.

One of the most exciting applications of supersymmetry in engineering is in the design of quantum unitary gates. These gates are essential components of quantum computers, and supersymmetry provides a powerful tool for designing them. By leveraging supersymmetric actions, researchers can create complex quantum circuits that can perform complex calculations much faster than traditional computers.

Another area of application of supersymmetry is in the study of bosonic and fermionic noise in quantum systems. Noise is a fundamental limitation of quantum computing, and supersymmetry provides a way to mitigate it. By using the Hudson-Parthasarathy quantum stochastic calculus, researchers can analyze the behavior of quantum systems in the presence of noise and develop strategies for reducing it.

Superstring theory is another area of application of supersymmetry that has significant implications for engineering. Superstring theory is a theoretical framework that describes the fundamental structure of the universe at the smallest scales. By applying superstring theory to the quantum mechanics of neurons, researchers can gain insights into how the brain functions and develop new therapies for neurological disorders.

In addition to these applications, supersymmetry has also been used to develop simplified versions of super-Yang-Mills theory with gauge and gaugino fields. These theories are important in the study of gravity and the early universe, and supersymmetry provides a way to simplify them and make them more accessible to researchers.

Throughout the book, we emphasize the importance of exploiting the supersymmetry existing in the nature of Boson-Fermion exchange in designing engineering systems like quantum computers and analyzing the performance of systems in the presence of supersymmetric quantum noise. Supersymmetry is a powerful tool that has the potential to revolutionize the field of engineering, and this book provides a comprehensive introduction to its applications.

Weight: 414g
Dimension: 161 x 241 x 17 (mm)
ISBN-13: 9781032384115