1.

Record Nr.

UNINA9910827547003321

Titolo

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

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, ; 305 , 0271-4132

Disciplina

004.1/4

Soggetti

Quantum computers

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.