Mathematics of Quantum Computation

Ranee K Brylinski, Goong Chen

430 pages, parution le 05/04/2002

Ajouter à une liste

Indisponible

Résumé

Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science.

Mathematics of Quantum Computation brings together leading computer scientists, mathematicians, and physicists to provide the first interdisciplinary but mathematically focused exploration of the field's foundations and state of the art. Each section of the book addresses an area of major research, and does so with introductory material that brings newcomers quickly up to speed. Chapters that are more advanced include recent developments not yet published in the open literature

.Information technology will inevitably enter into the realm of quantum mechanics, and, more than all the atomic, molecular, optical, and nanotechnology advances, it is the device-independent mathematics that is the foundation of quantum computer and information science. Mathematics of Quantum Computation offers the first up-to-date coverage that has the technical depth and breadth needed by those interested in the challenges being confronted at the frontiers of research.

Contents

Preface

Part I : Quantum Entanglement
1. Algebraic measures of entenglement
2. Kinematics of qubit pairs
3. Invariants for multiple qubits : the case of 3 qubits

Part II : Universality of Quantum Gates
4. Universal quantum gates
5. From coupled pendulums to quantum search
6. Generalization of Grover's algorithm to multiobject search in quantum computing, part one : continuous time and discrete time
7. Generalization of Grover's algorithm to multiobject search in quantum computing, part two : general uttility tranformations

Part III : Quantum Computational Complexity
8. Counting complexity and quantum computation

Part IV : Quantum Error-Correcting Codes
9. Algorithmic aspects of quantum error-correcting codes
10. Clifford codes

Part V : Quantum Computing Algebraic and Geometric Structures
11. Invariant polynomial functions on K qudits
12. Z2-systolic freedom quantum codes

Part VI : Quantum Teleportation
13. Quantum teleprotation

Part VII : Quantum Secure Communication and Quantum Cryoptography
14. Communicating with qubits pairs

Part VIII : Commentary on Quantum Computing
15. Transgressing the boundaries of quantum computation : a contribution to the hermeneutics of the NMR paradigm405

Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Ranee K Brylinski, Goong Chen
Parution	05/04/2002
Nb. de pages	430
Format	16 x 24
Couverture	Relié
Poids	793g
Intérieur	Noir et Blanc
EAN13	9781584882824
ISBN13	978-1-58488-282-4