Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

• Main Authors: Ohya, Masanori (Author), Volovich, I. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2011.
• Series: Theoretical and Mathematical Physics,
• Subjects: Physics.; Bioinformatics.; Applied mathematics.; Engineering mathematics.; Quantum physics.; Quantum Physics.; Applications of Mathematics.

This monograph provides a mathematical foundation  to  the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mec...

Table of Contents:

• 1 Introduction
• 2 Algorithms and Computation
• 3 Basics of Classical Probability
• 4 Basics of Infinite Dimensional Analysis
• 5 Basics of Quantum Mechanics
• 6 Fundamentals of Classical Information Theory
• 7 Fundamentals of Quantum Information
• 8 Locality and Entanglement
• 9 Quantum Capacity and Coding
• 10 Information Dynamics and Adaptive Dynamics
• 11 Mathematical Models of Quantum Computer
• 12 Quantum Algorithms I
• 13 Quantum Algorithms II
• 14 Quantum Algorithms III
• 15 Quantum Error Correction
• 16 Quantum Field Theory
• Locality and Entanglement
• 17 Quantum Cryptography
• 18 Quantum Teleportation
• 19 Physical Nano-Systems
• 20 Miscellaneous in Quantum Theory and Information
• 21 Applications to Life Science.