Quantum Walks and Search Algorithms

• Main Author: Portugal, Renato. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Quantum Science and Technology
• Subjects: Physics.; Information theory.; Quantum theory.; Quantum Physics.; Quantum Computing.; Theory of Computation.; Quantum Information Technology, Spintronics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-6336-8

This book addresses an interesting area of quantum computation called quantum walks, which play an important role in building quantum algorithms, in particular search algorithms. Quantum walks are the quantum analogue of classical random walks. It is known that quantum computers have great power for...

Table of Contents:

• Introduction
• The Postulates of Quantum Mechanics
• Introduction to Quantum Walks
• Grover's Algorithm and its Generalization
• Quantum Walks on Infinite Graphs
• Quantum Walks on Finite Graphs
• Limiting Distribution and Mixing Time
• Spatial Algorithms
• Hitting Time
• Appendix: Linear Algebra for Quantum Computation.