Finite and Profinite Quantum Systems
Author:   Apostolos Vourdas
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
ISBN:  

9783319594941


Pages:   196
Publication Date:   28 July 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Finite and Profinite Quantum Systems


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Author:   Apostolos Vourdas
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Weight:   4.823kg
ISBN:  

9783319594941


ISBN 10:   331959494
Pages:   196
Publication Date:   28 July 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Mathematical symbols.- 1 Introduction.- 2 Partial orders and Pontryagin duality.- 3 The ring ℤ (d).- 4 Quantum systems with variables in ℤ (d).- 5 Finite Geometries and Mutually Unbiased Bases.- 6 Quantum logic of finite quantum systems.- 7 Galois fields.- 8 Quantum systems with variables in GF(pe).- 9 p-adic numbers and profinite groups.- 10 A quantum system with positions in the profinite group ℤp.- 11 A quantum system with positions in the profinite group ℤ.- Index.

Reviews

This book is a fundamental read for anyone working on quantum technologies ... . the book provides for an important reference for both graduate students and researchers working on either finite and profinite quantum systems, specifically, or in quantum technology research. Due to the extensive results and propositions' proofs provided, the book can be used as a reference for building new approaches integrating the theory of finite and profinite quantum system. (Carlos Pedro Goncalves, zbMATH 1379.81004, 2018)


Author Information

Apostolos Vourdas is a Professor of Computing at the University of Bradford, UK, with research interests spanning various aspects of quantum computing (analytic functions in quantum physics; algebraic and group theory methods; finite quantum systems; Galois fields and p-adic numbers in quantum computing; quantum logic and lattice theory).  He has published over 160 refereed journal papers and 8 invited review articles, and has an h-index of 34.

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