eBook ISBN:  9780821878958 
Product Code:  CONM/305.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878958 
Product Code:  CONM/305.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 305; 2002; 310 ppMSC: Primary 81; 94; Secondary 68
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 socalled 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 TwentyFirst Century and the Millennium, PSAPM/58, Volume 58 in the Proceedings of Symposia in Applied Mathematics series.
ReadershipGraduate students and research mathematicians interested in quantum computation, quantum information and applications.

Table of Contents

Articles

Paul Benioff — Space searches with a quantum robot [ MR 1947329 ]

G. P. Berman, G. D. Doolen, D. I. Kamenev, G. V. López and V. I. Tsifrinovich — Perturbation theory and numerical modeling of quantum logic operations with a large number of qubits [ MR 1947330 ]

Howard E. Brandt — Inconclusive rate with a positive operator valued measure [ MR 1947331 ]

Gilles Brassard, Peter Høyer, Michele Mosca and Alain Tapp — Quantum amplitude amplification and estimation [ MR 1947332 ]

Lucien Hardy — Manipulating the entanglement of one copy of a twoparticle pure entangled state [ MR 1947333 ]

Timothy F. Havel and Chris J. L. Doran — Geometric algebra in quantum information processing [ MR 1947334 ]

Louis H. Kauffman — Quantum computing and the Jones polynomial [ MR 1947335 ]

Samuel J. Lomonaco, Jr. and Louis H. Kauffman — Quantum hidden subgroup algorithms: a mathematical perspective [ MR 1947336 ]

Elitza N. Maneva and John A. Smolin — Improved twoparty and multiparty purification protocols [ MR 1947337 ]

David A. Meyer — Quantum games and quantum algorithms [ MR 1947338 ]

John M. Myers and F. Hadi Madjid — A proof that measured data and equations of quantum mechanics can be linked only by guesswork [ MR 1947339 ]

Jiannis Pachos — Quantum computation by geometrical means [ MR 1947340 ]

Mary Beth Ruskai — Pauli exchange and quantum error correction [ MR 1947341 ]

Benjamin Schumacher and Michael D. Westmoreland — Relative entropy in quantum information theory [ MR 1947342 ]

Nolan R. Wallach — An unentangled Gleason’s theorem [ MR 1947343 ]

William K. Wootters — Entangled chains [ MR 1947344 ]


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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 socalled 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 TwentyFirst Century and the Millennium, PSAPM/58, Volume 58 in the Proceedings of Symposia in Applied Mathematics series.
Graduate students and research mathematicians interested in quantum computation, quantum information and applications.

Articles

Paul Benioff — Space searches with a quantum robot [ MR 1947329 ]

G. P. Berman, G. D. Doolen, D. I. Kamenev, G. V. López and V. I. Tsifrinovich — Perturbation theory and numerical modeling of quantum logic operations with a large number of qubits [ MR 1947330 ]

Howard E. Brandt — Inconclusive rate with a positive operator valued measure [ MR 1947331 ]

Gilles Brassard, Peter Høyer, Michele Mosca and Alain Tapp — Quantum amplitude amplification and estimation [ MR 1947332 ]

Lucien Hardy — Manipulating the entanglement of one copy of a twoparticle pure entangled state [ MR 1947333 ]

Timothy F. Havel and Chris J. L. Doran — Geometric algebra in quantum information processing [ MR 1947334 ]

Louis H. Kauffman — Quantum computing and the Jones polynomial [ MR 1947335 ]

Samuel J. Lomonaco, Jr. and Louis H. Kauffman — Quantum hidden subgroup algorithms: a mathematical perspective [ MR 1947336 ]

Elitza N. Maneva and John A. Smolin — Improved twoparty and multiparty purification protocols [ MR 1947337 ]

David A. Meyer — Quantum games and quantum algorithms [ MR 1947338 ]

John M. Myers and F. Hadi Madjid — A proof that measured data and equations of quantum mechanics can be linked only by guesswork [ MR 1947339 ]

Jiannis Pachos — Quantum computation by geometrical means [ MR 1947340 ]

Mary Beth Ruskai — Pauli exchange and quantum error correction [ MR 1947341 ]

Benjamin Schumacher and Michael D. Westmoreland — Relative entropy in quantum information theory [ MR 1947342 ]

Nolan R. Wallach — An unentangled Gleason’s theorem [ MR 1947343 ]

William K. Wootters — Entangled chains [ MR 1947344 ]