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Mathematics of Quantum Computation Book

Mathematics of Quantum Computation
Mathematics of Quantum Computation, , Mathematics of Quantum Computation has a rating of 4.5 stars
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Mathematics of Quantum Computation, , Mathematics of Quantum Computation
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  • Mathematics of Quantum Computation
  • Written by author Ranee K. Brylinski K
  • Published by Taylor & Francis, Inc., February 2002
  • 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
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Preface
Quantum Entanglement1
1Algebraic measures of entanglement3
2Kinematics of qubit pairs25
3Invariants for multiple qubits: the case of 3 qubits77
Universality of Quantum Gates99
4Universal quantum gates101
Quantum Search Algorithms117
5From coupled pendulums to quantum search119
6Generalization of Grover's algorithm to multiobject search in quantum computing, Part I: continuous time and discrete time135
7Generalization of Grover's algorithm to multiobject search in quantum computing, Part II: general unitary transformations161
Quantum Computational Complexity169
8Counting complexity and quantum computation171
Quantum Error-Correcting Codes221
9Algorithmic aspects of quantum error-correcting codes223
10Clifford codes253
Quantum Computing Algebraic and Geometric Structures275
11Invariant polynomial functions on k qudits277
12Z[subscript 2]-systolic freedom and quantum codes287
Quantum Teleportation321
13Quantum teleportation323
Quantum Secure Communication and Quantum Cryptography357
14Communicating with qubit pairs359
Commentary on Quantum Computing403
15Transgressing the boundaries of quantum computation: a contribution to the hermeneutics of the NMR paradigm405
Index421


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