Quantum computing is an exciting new area between computer science and quantum physics. The computation is based on quantum mechanics. Quantum computing has the potential to demonstrate that for some problems quantum computation is more efficient than classical computation. Sebastian Dörn presents new quantum algorithms for basic problems from graph and algebra theory. First of all, he introduces several quantum search procedures, like Grover search and quantum walks. Then he presents an overview of recent quantum graph algorithms, for example shortest path and maximum flow algorithms. In the main part of this book, Sebastian Dörn gives new quantum algorithms for matching problems, graph traversal problems and independent set problems. Furthermore quantum complexity bounds for group testing problems and for problems from linear algebra are presented. All quantum algorithms are faster than the best known classical algorithms for the corresponding problems. This book will be of interest to graduate students and researchers in physics, computer science and mathematics with an interest in quantum computing, and may be used in courses on quantum algorithms.
Quantum computing is an exciting new area between computer science and quantum physics. The computation is based on quantum mechanics. Quantum computing has the potential to demonstrate that for some problems quantum computation is more efficient than classical computation. Sebastian Dörn presents new quantum algorithms for basic problems from graph and algebra theory. First of all, he introduces several quantum search procedures, like Grover search and quantum walks. Then he presents an overview of recent quantum graph algorithms, for example shortest path and maximum flow algorithms. In the main part of this book, Sebastian Dörn gives new quantum algorithms for matching problems, graph traversal problems and independent set problems. Furthermore quantum complexity bounds for group testing problems and for problems from linear algebra are presented. All quantum algorithms are faster than the best known classical algorithms for the corresponding problems. This book will be of interest to graduate students and researchers in physics, computer science and mathematics with an interest in quantum computing, and may be used in courses on quantum algorithms.
Popular computer algebra systems such as Maple, Macsyma, Mathematica, and REDUCE are now basic tools on most computers. Efficient algorithms for various algebraic operations underlie all these...
The matching problem is one of the central problems in graph theory as well as in the theory of algorithms and their applications. This book will provide the reader with a comprehensive and...
This IMA Volume in Mathematics and its Applications COMBINATORIAL AND GRAPH-THEORETICAL PROBLEMS IN LINEAR ALGEBRA is based on the proceedings of a workshop that was an integral part of the 1991-92...
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