Innovative quantum computing /

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"Version: 20231101"--Title page verso.Includes bibliographical references.1. Obscure qubits and membership amplitudes -- 1.1. Preliminaries -- 1.2. Membership amplitudes -- 1.3. Transformations of obscure qubits -- 1.4. Kronecker obscure qubits -- 1.5. Obscure-quantum measurement -- 1.6. Kronecker obscure-quantum gates -- 1.7. Double entanglement -- 1.8. Conclusions2. Higher braid quantum gates -- 2.1. Yang-Baxter operators -- 2.2. Polyadic braid operators and higher braid equations -- 2.3. Solutions to the ternary braid equations -- 2.4. Invertible and noninvertible quantum gates -- 2.5. Binary braiding quantum gates -- 2.6. Higher braiding quantum gates -- 2.7. Entangling braiding gates3. Supersymmetry and quantum computing -- 3.1. Superspaces and supermatrices -- 3.2. Super Hilbert spaces and operators -- 3.3. Qubits and superqubits -- 3.4. Multi-(super)qubit states -- 3.5. Innovations4. Duality quantum computing -- 4.1. Duality computing and polyadic operations -- 4.2. Higher duality computing -- 4.3. Duality quantum mode5. Measurement-based quantum computing -- 6. Quantum walks -- 6.1. Discrete quantum walks.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. Part of IPEM-IOP Series in Coherent Sources, Quantum Fundamentals, and Applications.Quantum computer engineers and scientists.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Steven Duplij (Stepan Douplii) is a Principal Scientific Researcher, IT Center, University of M?unster, (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 M?unster (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.Title from PDF title page (viewed on December 1, 2023).

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: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750352819

Classification

006.3843

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Subject(s)

SCIENCE / Physics / Quantum Theory.
Quantum computing.

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Statement of Responsibility

Steven Duplij, Raimund Vogl.

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