Graph Theory: Adiabatic Quantum Computing Methods
N.B. Singh
This audiobook is narrated by a digital voice.
"Graph Theory: Adiabatic Quantum Computing Methods" explores the convergence of quantum computing and graph theory, offering a comprehensive examination of how quantum algorithms can tackle fundamental graph problems. From foundational concepts to advanced applications in fields like cryptography, machine learning, and network analysis, this book provides a clear pathway into the evolving landscape of quantum-enhanced graph algorithms. Designed for researchers, students, and professionals alike, it bridges theoretical insights with practical implementations, paving the way for innovative solutions in computational graph theory.
Duration - 8h 27m.
Author - N.B. Singh.
Narrator - Digital Voice Mary G.
Published Date - Monday, 20 January 2025.
Copyright - © 2024 N.B. Singh ©.
Location:
United States
Description:
This audiobook is narrated by a digital voice. "Graph Theory: Adiabatic Quantum Computing Methods" explores the convergence of quantum computing and graph theory, offering a comprehensive examination of how quantum algorithms can tackle fundamental graph problems. From foundational concepts to advanced applications in fields like cryptography, machine learning, and network analysis, this book provides a clear pathway into the evolving landscape of quantum-enhanced graph algorithms. Designed for researchers, students, and professionals alike, it bridges theoretical insights with practical implementations, paving the way for innovative solutions in computational graph theory. Duration - 8h 27m. Author - N.B. Singh. Narrator - Digital Voice Mary G. Published Date - Monday, 20 January 2025. Copyright - © 2024 N.B. Singh ©.
Language:
English
Preface
Duration:00:00:31
Introduction to Graph Theory
Duration:00:00:59
Definitions and Basic Concepts
Duration:00:04:40
Types of Graphs
Duration:00:05:05
Graph Connectivity
Duration:00:04:52
Graph Algorithms
Duration:00:04:13
Graph Representations
Duration:00:04:19
Graph Applications
Duration:00:04:06
Introduction to Quantum Computing
Duration:00:00:59
Qubits and Quantum States
Duration:00:04:00
Quantum Gates
Duration:00:04:23
Quantum Circuits
Duration:00:03:45
Quantum Entanglement
Duration:00:03:50
Quantum Measurement
Duration:00:03:45
Quantum Algorithms
Duration:00:04:02
Basics of Adiabatic Quantum Computing
Duration:00:01:11
Principles of Adiabatic Quantum Computing
Duration:00:05:23
Hamiltonians and Quantum States
Duration:00:05:35
Adiabatic Theorem
Duration:00:05:06
Quantum Annealing
Duration:00:05:47
Comparison with Gate-Based Quantum Computing
Duration:00:08:07
Implementation Challenges
Duration:00:12:20
Adjacency Matrices
Duration:00:09:27
Incidence Matrices
Duration:00:09:03
Edge Lists
Duration:00:08:43
Adjacency Lists
Duration:00:05:23
Graph Drawing
Duration:00:05:21
Graph Storage Formats
Duration:00:06:12
Graph Isomorphism
Duration:00:01:02
Isomorphism Testing Algorithms
Duration:00:06:18
Applications of Graph Isomorphism
Duration:00:07:26
Graph Invariants
Duration:00:06:06
Complexity of Graph Isomorphism
Duration:00:05:02
Recent Advances
Duration:00:05:09
Graph Coloring
Duration:00:01:02
Coloring Algorithms
Duration:00:09:00
Applications of Graph Coloring
Duration:00:08:28
Chromatic Number
Duration:00:07:23
Complexity of Graph Coloring
Duration:00:07:15
Special Types of Coloring
Duration:00:10:08
Graph Partitioning
Duration:00:01:04
Partitioning Algorithms
Duration:00:11:49
Applications of Graph Partitioning
Duration:00:09:52
Complexity of Graph Partitioning
Duration:00:11:09
Graph Clustering
Duration:00:09:38
Spectral Partitioning
Duration:00:07:18
Optimization Problems in Graph Theory
Duration:00:01:20
Shortest Path Problems
Duration:00:07:42
Maximum Flow Problems
Duration:00:07:16
Minimum Spanning Trees
Duration:00:06:52
Traveling Salesman Problem
Duration:00:07:40
Vertex Cover Problem
Duration:00:07:25
Graph Matching Problems
Duration:00:07:22
Quantum Annealing and Graph Problems
Duration:00:00:56
Introduction to Quantum Annealing
Duration:00:06:45
Formulating Graph Problems for Quantum Annealing
Duration:00:07:47
Solving Optimization Problems
Duration:00:05:22
Quantum Annealing Hardware
Duration:00:05:06
Experimental Results
Duration:00:04:24
Challenges and Limitations
Duration:00:06:03
Adiabatic Quantum Algorithms for Graph Theory
Duration:00:01:12
Formulating Graph Algorithms
Duration:00:05:53
Quantum Walks on Graphs
Duration:00:05:45
Quantum Search Algorithms
Duration:00:05:47
Quantum Approximation Algorithms
Duration:00:05:58
Quantum Sampling Algorithms
Duration:00:05:56
Performance Analysis
Duration:00:05:49
Applications of Adiabatic Quantum Computing
Duration:00:01:10
Applications in Cryptography
Duration:00:07:46
Applications in Network Analysis
Duration:00:08:14
Applications in Machine Learning
Duration:00:08:32
Applications in Logistics and Planning
Duration:00:09:09
Applications in Bioinformatics
Duration:00:11:45
Case Studies
Duration:00:10:17
Future Directions and Challenges
Duration:00:01:02
Open Problems in Graph Theory
Duration:00:09:33
Advances in Quantum Hardware
Duration:00:06:51
Scalability Issues
Duration:00:05:47
Algorithmic Improvements
Duration:00:07:41
Interdisciplinary Research
Duration:00:07:12
Ethical and Societal Implications
Duration:00:07:58