Innovative Quantum Computing / Steven Duplij and Raimund Vogl.

Format:

Book

Author/Creator:

Dupliĭ, Stepan, author.

Vogl, Raimund, author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP series in coherent sources, quantum fundamentals, and applications.

IOP ebooks. 2023 collection.

IOP Series in Coherent Sources, Quantum Fundamentals, and Applications Series

Language:

English

Subjects (All):

Quantum computing.

Physical Description:

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

Edition:

First edition.

Place of Publication:

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2023]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Biography/History:

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.

Summary:

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.

Contents:

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. Conclusions

2. 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 gates

3. 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. Innovations

4. Duality quantum computing

4.1. Duality computing and polyadic operations

4.2. Higher duality computing

4.3. Duality quantum mode

5. Measurement-based quantum computing

6. Quantum walks

6.1. Discrete quantum walks.

Notes:

"Version: 20231101"--Title page verso.

Includes bibliographical references.

Title from PDF title page (viewed on December 1, 2023).

Description based on print version record.

ISBN:

9780750352819

0750352817

9780750352802

0750352809

OCLC:

1411184705