The Functional Analysis of Quantum Information Theory by Ved Prakash Gupta
The Functional Analysis of Quantum Information Theory - Table of Contents
1. Operator Spaces
2. Entanglement in Bipartite Quantum States
3. Operator Systems
4. Quantum Information Theory
What You Will Learn in The Functional Analysis of Quantum Information Theory
"The Functional Analysis of Quantum Information Theory" by "Ved Prakash Gupta, Prabha Mandayam, and V. S. Sunder" is an advanced textbook that explores the intersection of "functional analysis", "operator theory", and "quantum information theory". It introduces key mathematical concepts used to study quantum systems, including operator algebras, operator spaces, and completely positive maps. The book starts with fundamental definitions and theorems, such as Stinespring’s dilation theorem and Kirchberg’s theorem, providing a rigorous foundation for understanding quantum channels and quantum states.
This text emphasizes the application of functional analytic tools to practical problems in quantum information. Topics include "entanglement quantification", zero-error communication over quantum channels, quantum entropy, and norms on quantum states and channels. It bridges the gap between abstract mathematics and real-world quantum problems, showing how operator theory underpins many modern quantum information techniques.
Designed for graduate students, researchers, and professionals, the book collects lectures from leading experts, making complex material accessible and structured. With detailed examples, proofs, and exercises, it is an essential resource for anyone seeking a deep understanding of quantum information through the lens of rigorous mathematics. This book is particularly valuable for those working in "quantum computing", functional analysis, and advanced quantum theory.
Book Details & Specifications
Title:
The Functional Analysis of Quantum Information Theory by Ved Prakash Gupta
Publisher:
arXiv.org
Year:
2015
Pages:
150
Type:
PDF
Language:
English
ISBN-10 #:
3319167170
ISBN-13 #:
978-3319167176
License:
arXiv.org License
Amazon:
Amazon
About the Author: Ved Prakash Gupta, Prabha Mandayam and V. S. Sunder
The author Ved Prakash Gupta, Prabha Mandayam and V. S. Sunder
are leading experts in "functional analysis", "operator theory", and "quantum information theory". Gupta specializes in operator algebras and mathematical structures underlying quantum systems. Mandayam focuses on quantum computing, entanglement, and quantum communication. V. S. Sunder brings extensive experience in operator algebras and mathematical physics. Together, they combine rigorous mathematics with practical quantum applications, making complex concepts accessible. Their collaborative work bridges abstract theory and real-world quantum problems, providing an essential resource for students, researchers, and professionals working in "quantum computing", functional analysis, and advanced quantum theory.
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