Quantum Information Science and Its Contributions to Mathematics (Proceedings of Symposia in Applied Mathematics) - Hardcover

Samuel J. Lomonaco Jr.

Hardcover

ISBN 10: 0821848283 ISBN 13: 9780821848289

Publisher: American Mathematical Society, 2010

Synopsis

This volume is based on lectures delivered at the 2009 AMS Short Course on Quantum Computation and Quantum Information, held January 3-4, 2009, in Washington, D.C. Part I of this volume consists of two papers giving introductory surveys of many of the important topics in the newly emerging field of quantum computation and quantum information, i.e., quantum information science (QIS). The first paper discusses many of the fundamental concepts in QIS and ends with the curious and counter-intuitive phenomenon of entanglement concentration. The second gives an introductory survey of quantum error correction and fault tolerance, QIS's first line of defense against quantum decoherence. Part II consists of four papers illustrating how QIS research is currently contributing to the development of new research directions in mathematics. The first paper illustrates how differential geometry can be a fundamental research tool for the development of compilers for quantum computers. The second paper gives a survey of many of the connections between quantum topology and quantum computation. The last two papers give an overview of the new and emerging field of quantum knot theory, an interdisciplinary research field connecting quantum computation and knot theory. These two papers illustrate surprising connections with a number of other fields of mathematics. In the appendix, an introductory survey article is also provided for those readers unfamiliar with quantum mechanics.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2010
• ISBN 10: 0821848283
• ISBN 13: 9780821848289
• Binding: Hardcover
• Language: English
• Number of pages: 348