Topical Papers on Quantum Optics and Quantum Information Science

P. Lambropoulos, David Petrosyan

Jarus W. Quinn

G. S. Agarwal

Samuel J. Lomonaco

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 defence 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.

Qcmc, Stephen Mark Barnett, Erika Andersson +3 more

The papers were peer reviewed.Quantum communications, measurement and computing embodies the fledgling science of quantum information. It applies quantum physics to tackle the challenges of next generation information processing. The conference was the seventh in the series. These proceedings describe papers presented at the meeting and represent the forefront of current research. Topics include: quantum communication, measurement, quantum computation, entanglement, quantum cryptography, sources of quantum states, time, as well as dissipation and decoherence.