Coding Theory and Quantum Computing.
Evans, David.
Coding Theory and Quantum Computing. - 1st ed. - 1 online resource (166 pages) - Contemporary Mathematics ; v.381 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- List of Participants -- Coding Theory -- Gröbner bases, Padé approximation, and decoding of linear codes -- Some computational tools for estimating the parameters of algebraic geometry codes -- An introduction to algebraic coding theory -- Recent results on p-ranks and Smith normal forms of some 2 - (v, k, λ) designs -- Quantum Computing -- Quantum walks on graphs and quantum scattering theory -- A continuous variable Shor algorithm -- 1. Introduction -- 2. Mathematical Machinery -- 3. Fourier Analysis on the Real Line R -- 4. The Algorithm for Finding Integer Periods -- 5. The Observable O -- 6. The Algorithm for Finding Rational Periods -- 7. Finding Irrational Periods -- 8. Conclusion -- 9. Appendix: Number-Theoretic Probabilities -- References -- Entangled states of light -- Entanglement beyond subsystems -- Generalized GHZ states and distributed quantum computing.
9780821879719
Quantum theory -- Mathematics -- Congresses.
Coding theory -- Mathematics -- Congresses.
Quantum computers -- Mathematics -- Congresses.
Cryptography -- Mathematics -- Congresses.
Electronic books.
QC173.96 -- .I53 2003eb
530.12
Coding Theory and Quantum Computing. - 1st ed. - 1 online resource (166 pages) - Contemporary Mathematics ; v.381 . - Contemporary Mathematics .
Intro -- Contents -- Preface -- List of Participants -- Coding Theory -- Gröbner bases, Padé approximation, and decoding of linear codes -- Some computational tools for estimating the parameters of algebraic geometry codes -- An introduction to algebraic coding theory -- Recent results on p-ranks and Smith normal forms of some 2 - (v, k, λ) designs -- Quantum Computing -- Quantum walks on graphs and quantum scattering theory -- A continuous variable Shor algorithm -- 1. Introduction -- 2. Mathematical Machinery -- 3. Fourier Analysis on the Real Line R -- 4. The Algorithm for Finding Integer Periods -- 5. The Observable O -- 6. The Algorithm for Finding Rational Periods -- 7. Finding Irrational Periods -- 8. Conclusion -- 9. Appendix: Number-Theoretic Probabilities -- References -- Entangled states of light -- Entanglement beyond subsystems -- Generalized GHZ states and distributed quantum computing.
9780821879719
Quantum theory -- Mathematics -- Congresses.
Coding theory -- Mathematics -- Congresses.
Quantum computers -- Mathematics -- Congresses.
Cryptography -- Mathematics -- Congresses.
Electronic books.
QC173.96 -- .I53 2003eb
530.12