Finite and Profinite Quantum Systems

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.

Mathematical symbols.- 1 Introduction.- 2 Partial orders and Pontryagin duality.- 3 The ring (d).- 4 Quantum systems with variables in (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(p^e).- 9 p-adic numbers and profinite groups.- 10 A quantum system with positions in the profinite group _p.- 11 A quantum system with positions in the profinite group .- Index.

"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 Gonçalves, zbMATH 1379.81004, 2018)

“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 Gonçalves, zbMATH 1379.81004, 2018)