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The Korepin Festschrift : from Statistical Mechanics to Quantum Information Science.
This volume mainly summarizes the invited talks presented at the 5th Asia-Pacific Workshop on Quantum Information Science (APWQIS) in conjunction with a Festschrift in honor of Professor Vladimir Korepin's 60th birthday. In this Festschrift, we have assembled a medley of interesting articles fr...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2013.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; CONTENTS; Organizing Committee; List of Speakers; Photos; Chapter 1: Cancellation of Ultra-Violet Infinities in One Loop Gravity V.E. Korepin; 1. Introduction; 2. Covariant Quantization; 3. Cancelation of Infinities in one Loop Approximation; 4. Finite Part of the Generating Functional of the Scattering Matrix; 5. One Loop Diagram with Two Vertices; References; Chapter 2: Quantum Discord in a Spin System with Symmetry Breaking B. Tomasello, D. Rossini, A. Hamma and L. Amico; 1. Introduction; 2. Quantum, Classical, and Total Correlations; 3. The XY Model in Transverse Field.
- 3.1. The Phase Diagram4. Classical and Quantum Correlations in the Model; 5. Analysis of Quantum Discord at T = 0; 6. Quantum Discord at Finite Temperature; 7. Discussions; Acknowledgments; References; Chapter 3: Entanglement from the Dynamics of an Ideal Bose Gas in a Lattice S. Bose; 1. Introduction; Acknowledgment; References; Chapter 4: Aspects of the Riemannian Geometry of Quantum Computation H.E. Brandt; 1. Introduction; 2. Riemannian Geometry of SU(2n); 3. Summary; Acknowledgment; References; Chapter 5: Quantum Mechanics and the Role of Time: Are Quantum Systems Markovian? T. Durt.
- 1. Introduction2. Do Quantum Dice Remember?
- Experimental Tests; 2.1. Bohm-Bub's model and the Papaliolos experiment; 2.2. Buonomano's model and the Summhammer experiment; 2.3. Hidden measurement approach and the Paris-Nord experiment; 2.3.1. The Poissonian paradigm; 2.3.2. Departures from the Poissonian paradigm; 2.3.3. Recent results; 2.4. Shnoll's hypotheses and the Brussels experiment; 3. Sheldrake and Smolin's Models, and a Related Experimental Proposal; 3.1. Sheldrake's model; 3.2. Smolin's model; 3.3. Unfalsifiability of Sheldrake and Smolin's models
- New experimental proposals.
- 4. ConclusionsAcknowledgments; References; Chapter 6: Explicit Formula of the Separability Criterion for Continuous Variables Systems K. Fujikawa; 1. Introduction and Summary; 2. Details of Analyses; 2.1. Simon's criterion; 2.2. Gaussian states and P-representation; 2.3. Duan-Giedke-Chirac-Zoller criterion; 2.4. Hierarchy of separability criterions; 3. Discussion and Related References; References; Chapter 7: Yang-Baxter Equations in Quantum Information M.-L. Ge and K. Xue; 1. Introduction; 2. Two Types of Braiding Matrices. Yang-Baxter Equation and Temperley-Lieb Algebra.
- 3. 2-D Topological Basis of Braiding Matrices4. Unified Form for Both Type-1 and Type-2 BRM's; 5. Two Types of BRM in Physics and Extremization of l1-Norm; 5.1. Motivation of l1-norm involution; 5.2. Extremization of D-function and l1-norm; 6. Bogoliubov's Hamiltonian Induced from Dirac's Hamiltonian via Braid Matrix; 7. Optical Simulation of YBE; 8. Topological Basis for BWA; 8.1. Matrix form of E12, E23, S12 and S23 for S = S; 8.2. Application to the "standard" q-deformed spin-1 model; 9. Conclusion; Acknowledgments; References.