Quantum computation and information : AMS Special Session Quantum Computation and Information, January 19-21, 2000, Washington, D.C. / / Samuel J. Lomonaco, Jr., Howard E. Brandt, editors

• Record Nr.: UNINA9910479981503321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2002]; ©2002
• ISBN: 0-8218-7895-6; 0-8218-2140-7
• Descrizione fisica: 1 online resource (322 p.)
• Collana: Contemporary mathematics ; ; volume 305
• Disciplina: 004.1/4
• Soggetti: Quantum computers; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Preface""; ""Gilles Brassard Awarded Pot de Vin Prize""; ""List of Participants""; ""Space searches with a quantum robot""; ""Perturbation theory and numerical modeling of quantum logic operations with a large number of qubits""; ""Inconclusive rate with a positive operator valued measure""; ""1. Introduction""; ""2. Inconclusive rates comparison""; ""3. Disturbed inconclusive rate""; ""4. Consistency""; ""5. Conclusion""; ""6. Acknowledgements""; ""References""; ""Quantum amplitude amplification and estimation""; ""Manipulating the entanglement of one copy of a two-particle pure entangled state""""Geometric algebra in quantum information processing""; ""Quantum computing and the Jones polynomial""; ""1. Introduction""; ""2. Dirac Brackets""; ""3. Braiding, Projectors and the Temperley Lieb Algebra""; ""4. The Bracket Polynomial""; ""5. Knot Amplitudes""; ""6. Quantum Computing""; ""7. Summary""; ""References""; ""Quantum hidden subgroup algorithms: A mathematical perspective""; ""Part 1. Preamble""; ""1. Introduction""; ""2. An example of Shor's quantum factoring algorithm""; ""3. Definition of the hidden subgroup problem (HSP) and hidden subgroup algorithms (HSAs)""""Part 2. Algebraic Preliminaries""; ""4. The Character Group""; ""5. Fourier analysis on a finite abelian group""; ""6. ; Implementation issues: Group algebras as Hilbert spaces""; ""Part 3. QRandÏ?(): The Progenitor of All QHSAs""; ""7. Implementing ProbÏ? (X) with quantum subroutine QRANDÏ?()""; ""Part 4. Vintage Simon Algorithms""; ""8. Properties of the probability distribution ProbÏ? (X) when Ï? has a hidden subgroup""; ""9. A Markov process MÏ? induced by ProbÏ?""; ""A proof that measured data and equations of quantum mechanics can be linked only by guesswork""