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This book presents new and prospective approaches to quantum computing. It introduces the many possibilities to further develop the mathematical methods of quantum computation and its applications to future functioning and operational quantum computers.
In this book, various extensions of the qubit concept, starting from obscure qubits, superqubits and other fundamental generalizations, are considered. New gates, known as higher braiding gates, are introduced. These new gates are implemented as an additional stage of computation for topological quantum computations and unconventional computing when computational complexity is affected by its environment. Other generalizations are considered and explained in a widely accessible and easy-to-understand way.
Presented in a book for the first time, these new mathematical methods will increase the efficiency and speed of quantum computing.
Key Features
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Provides new mathematical methods for quantum computing
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Presents material in a widely accessible way
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Contains methods for unconventional computing where there is computational complexity
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Provides methods to increase speed and efficiency
Steven Duplij (Stepan Douplii) is a Principal Scientific Researcher, IT Center, University of Münster, (Germany) and a Doctor of Physical and Mathematical Sciences (the prestigious Habitation doctorate). He works in Theoretical Physics, has several monographs and more than a hundred scientific publications. Editor-compiler of the "Concise Encyclopaedia of Supersymmetry" (Springer), he has received grants from the Humboldt and Fulbright Foundations.
Raimund Vogl is the CIO of the University of Münster (Germany) and is the director of the University IT centre since 2007. He holds a PhD in elementary particle physics from University of Innsbruck (Austria). After completing his PhD studies in 1995, he joined Innsbruck University Hospital as IT manager for medical image data solutions and moved on to be deputy head of IT. He is board member and past president of EUNIS (European University Information Systems Organisation) and a member of GMDS and AIS.
1. Obscure qubits and membership amplitudes. 2. Higher braid quantum gates and applications. 3. Unconventional computing methods. 4. Mathematics of non-standard computation.