Mathematics of Quantum Computation

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Ranee K. Brylinski, Goong Chen
CRC Press, 14.02.2002 - 448 Seiten
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.
 

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Inhalt

Chapter 1 Algebraic measures of entanglement
3
Chapter 2 Kinematics of qubit pairs
25
the case of 3 qubits
77
Chapter 4 Universal quantum gates
101
Chapter 5 From coupled pendulums to quantum search
119
continuous time and discrete time
135
general unitary transformations
161
Chapter 8 Counting complexity and quantum computation
171
Chapter 10 Clifford codes
253
Chapter 11 Invariant polynomial functions on k qudits
277
Chapter 12 Z2systolic freedom and quantum codes
287
Chapter13 Quantum teleportation
323
Chapter 14 Communicating with qubit pairs
359
acontribution to the hermeneuticsof the NMR paradigm
405
Index
421
Urheberrecht

Chapter 9 Algorithmic aspects of quantum errorcorrecting codes
223

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Über den Autor (2002)

Texas A&M University

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