محاسبات کوانتومی و اطلاعات: جلسه ویژه Ams محاسبات کوانتومی و اطلاعات، واشنگتن دی.سی، ۱۹-۲۱ ژانویه ۲۰۰۰ (ریاضیات معاصر)

This book is a collection of papers given by invited speakers at the AMS Special Session on Quantum Computation and Information held at the January 2000 Annual Meeting of the AMS in Washington, DC. The papers in this volume give readers a broad introduction to the many mathematical research challenges posed by the new and emerging field of quantum computation and quantum information. Of particular interest is a long paper by Lomonaco and Kauffman discussing mathematical and computational aspects of the so-called hidden subgroup algorithm.This book is intended to help readers recognize that, as a result of this new field of quantum information science, mathematical research opportunities abound in such diverse mathematical fields as algebraic coding theory, algebraic geometry, algebraic topology, communication theory, control theory, cryptography, differential geometry, differential topology, dynamical systems, game theory, group theory, information theory, number theory, operator theory, robotics, theory of computation, mathematical logic, mathematical physics, and more.It is hoped that this book will act as a catalyst to encourage members of the mathematical community to take advantage of the many mathematical research opportunities arising from the 'grand challenge' of Quantum Information Science. This book is the companion volume to ""Quantum Computation: A Grand Mathematical Challenge for the Twenty-First Century and the Millennium"", PSAPM/58, Volume 58 in the ""Proceedings of Symposia in Applied Mathematics"" series The Papers In This Volume Give Readers A Broad Introduction To The Many Mathematical Research Challenges Posed By The New And Emerging Field Of Quantum Computation And Quantum Information. Of Particular Interest Is A Long Paper By Lomonaco And Kauffman Discussing Mathematical And Computational Aspects Of The So-called Hidden Subgroup Algorithm. This Book Is The Companion Volume To Quantum Computation: A Grand Mathematical Challenge For The Twenty-first Century And The Millennium, Volume 58 In The Proceedings Of Symposia In Applied Mathematics Series.--book Jacket. Gilles Brassard Awarded Pot De Vin Prize -- Space Searches With A Quantum Robot / Paul Benioff -- Perturbation Theory And Numerical Modeling Of Quantum Logic Operations With A Large Number Of Qubits / G. P. Berman, G. D. Doolen, D. I. Kamenev, G. V. Lopez And V. I. Tsifrinovich -- Inconclusive Rate With A Positive Operator Valued Measure / Howard E. Brandt -- Quantum Amplitude Amplification And Estimation / Gilles Brassard, Peter Hoyer, Michele Mosca And Alain Tapp -- Manipulating The Entanglement Of One Copy Of A Two-particle Pure Entangled State / Lucien Hardy -- Geometric Algebra In Quantum Information Processing / Timothy F. Havel And Chris J. L. Doran -- Quantum Computing And The Jones Polynomial / Louis H. Kauffman -- Quantum Hidden Subgroup Algorithms: A Mathematical Perspective / Samuel J. Lomonaco, Jr. And Louis H. Kauffman -- Improved Two-party And Multi-party Purification Protocols / Elitza N. Maneva And John A. Smolin -- Quantum Games And Quantum Algorithms / David A. Meyer -- A Proof That Measured Data And Equations Of Quantum Mechanics Can Be Linked Only By Guesswork / John M. Myers And F. Hadi Madjid -- Quantum Computation By Geometrical Means / Jiannis Pachos -- Pauli Exchange And Quantum Error Correction / Mary Beth Ruskai -- Relative Entropy In Quantum Information Theory / Benjamin Schumacher And Michael D. Westmoreland -- An Unentangled Gleason's Theorem / Nolan R. Wallach -- Entangled Chains / William K. Wootters. Samuel J. Lomonaco, Jr., Howard E. Brandt, Editors. Includes Bibliographical References. This book is a collection of papers given by invited speakers at the first AMS Special Session on Quantum Computation and Information held at the January 2000 Annual Meeting of the AMS in Washington, DC. The papers in this volume give readers a broad introduction to the many mathematical research challenges posed by the new and emerging field of quantum computation and quantum information. Of particular interest is a long paper by Lomonaco and Kauffman discussing mathematical and computational aspects of the so-called hidden subgroup algorithm. This book is the companion volume to Quantum Computation: A Grand Mathematical Challenge for the Twenty-First Century and the Millennium, Volume 58 in the Proceedings of Symposia in Applied Mathematics series. In her early thirties, Louise Dickinson Rich took to the woods of Maine with her husband. They found their livelihood and raised a family in the remote backcountry settlement of Middle Dam, in the Rangeley area. Rich made time after morning chores to write about their lives. We Took to the Woods is an adventure story, written with humor, but it also portrays a cherished dream awakened into full life. First published 1942. [This book] is written for the beginning student pursuing a technical degree in electronics technology. In covering the fundamentals of electricity and electronics, [it] focuses on essential topics for the technician, and the all-important development of testing and troubleshooting skills. It is [an] introduction to basic DC and AC circuits and electronic devices.-Back cover Presents a collection of papers given by invited speakers at the AMS Special Session on Quantum Computation and Information held at the January 2000 Annual Meeting of the AMS in Washington, DC. This book offers an introduction to the many mathematical research challenges posed by the field of quantum computation and quantum information. An anthology of classical and contemporary poems are introduced by everyday people from across the United States, including pieces by such masters as Shakespeare, Keats, and Dickinson and featuring an accompanying video introduction by one of the editors. For Introduction to Meteorology, Introduction to Weather and Climate, and Introduction to the Atmosphere courses in the departments of Geography, Physical Sciences, Meteorology, Earth Sciences, Geology, and Physics Léon Bloy. Includes Bibliographical References.