The Korepin Festschrift: From Statistical Mechanics to Quantum Information Science:A Collection of Articles Written in Honor of the 60th Birthday of Vladimir Korepin
V. E. Korepin, L. C. Kwek, Simone Severini B, Haibin Su
Cancellation of Ultra-Violet Infinities in One Loop Gravity (V E Korepin) Quantum Discord in a Spin System with Symmetry Breaking (B Tomasello, D Rossini, A Hamma and L Amico) Entanglement from the Dynamics of an Ideal Bose Gas in a Lattice (S Bose) Aspects of the Riemannian Geometry of Quantum Computation (H E Brandt) Quantum Mechanics and the Role of Time: Are Quantum Systems Markovian? (T Durt) Explicit Formula of the Separability Criterion for Continuous Variables Systems (K Fujikawa) Yang - Baxter Equations in Quantum Information (M-L Ge and K Xue) Nondistillable Entanglement Guarantees Distillable Entanglement (L Chen and M Hayashi) Reduced Density Matrix and Entanglement Entropy of Permutationally Invariant Quantum Many-Body Systems (V Popkov and M Salerno) Solitons Experience for Black Hole Production in Ultrarelativistic Particle Collisions (I Ya Aref'Eva) Sine - Gordon Theory in the Repulsive Regime, Thermodynamic Bethe Ansatz and Minimal Models (H Itoyama) On Some Algebraic and Combinatorial Properties of Dunkl Elements (A N Kirillov) Finite Projective Spaces, Geometric Spreads of Lines and Multi-Qubits (M Saniga) Monogamy of Entanglement, N-Representability Problems and Ground States (T-C Wei).
Cancellation of Ultra-Violet Infinities in One Loop Gravity (V E Korepin) Quantum Discord in a Spin System with Symmetry Breaking (B Tomasello, D Rossini, A Hamma and L Amico) Entanglement from the Dynamics of an Ideal Bose Gas in a Lattice (S Bose) Aspects of the Riemannian Geometry of Quantum Computation (H E Brandt) Quantum Mechanics and the Role of Time: Are Quantum Systems Markovian? (T Durt) Explicit Formula of the Separability Criterion for Continuous Variables Systems (K Fujikawa) Yang - Baxter Equations in Quantum Information (M-L Ge and K Xue) Nondistillable Entanglement Guarantees Distillable Entanglement (L Chen and M Hayashi) Reduced Density Matrix and Entanglement Entropy of Permutationally Invariant Quantum Many-Body Systems (V Popkov and M Salerno) Solitons Experience for Black Hole Production in Ultrarelativistic Particle Collisions (I Ya Aref'Eva) Sine - Gordon Theory in the Repulsive Regime, Thermodynamic Bethe Ansatz and Minimal Models (H Itoyama) On Some Algebraic and Combinatorial Properties of Dunkl Elements (A N Kirillov) Finite Projective Spaces, Geometric Spreads of Lines and Multi-Qubits (M Saniga) Monogamy of Entanglement, N-Representability Problems and Ground States (T-C Wei).
Part 1 Satellite meeting of Statphys-19: quantum domains in ferromagnetic anisotropic Heisenberg chains, F.C. Alcaraz et al algebraic solution of the coincidence problem for crystals and quasi crystals, M. Baake reflection equations and surface critical phenomena, M.T. Batchelor quantum field theories in terms of group-valued local fields - an overview, L.L. Chau U(1)-invariant local and integrable lattice formulation of the massive Thirring model, C. Destri dilute algebras and solvable lattice models, U. Grimm quantum group and the Hofstadter problem, Y. Hatsugai et al domain walls in the spin-S quantum Ising chain, M. Henkel mutual exclusion statistics in the exactly solvable model of the Mott metal-insulator transition, M. Kohmoto et al boundary Yang-Baxter in the RSOS/SOS representation, W.M. Koo and C. Ahn probability of phase separation and two point temperature correlation functions for the Bose gas with delta interaction, V.E. Korepin and A.R. Its the generalized chiral clock model and its phase diagram, H. Au-Yang and J.H.H. Perk stochastic reaction-diffusion processes, operator algebras and integrable quantum spin chains, G.M. Schutz vertex-face correspondence in elliptic solutions of the Yang-Baxter equation, Y. Shibukawa logarithmic anomalies of susceptibility for solvable models, M. Takahashi on chiral Hubbard model at strong interaction, D.F. Wang soluble free-fermion models in d dimensions, F.Y. Wu bosonization based on Bethe Ansatz equations and proof of the conformal conjecture, Y.S. Wu and Y Yu. Part 3 The seventh Nankai workshop: one dimensional lattice models of electrons with r2 hopping and exchange, Ch. Gruber and D.F. Wang symmetry group invariants for spontaneous magnetization, J.-M. Maillard Zamolodchikov-Faddeev algebra vertex models, H.-P. Eckle scaling properties of the Ising model in a field, U. Grimm and B. Nienhuis experimental realizations of integrable reaction-diffusion processes in biological and chemical systems, G.M. Schutz and other papers. (Part contents).
Preface. Part I: Contributed Articles. RVB Redux: A Synergistic Theory of High Tc Cuprates P.W. Anderson. Doing 1D Physics with Deng: How the vision goes on P. Coleman. Kondo-Lattice Models with Infinite Range Hopping C. Gruber. The One-dimensional t-J Model with Long Range Interaction J.T. Liu. Stability and Symmetry Breaking in Metal Nanowires C.A. Stafford. From Magnetic Flux and Incommensurability to NMR and Oil Wells D.E. Freed. Geometry, Quantum Field Theory and NMR S. Axelrod. Black Holes, String Theory and Fundamental Physics R.R. Khuri. Design of a Low Power Passive Sigma Delta Modulator F. Chen. Labeling the Nervous System with a Ballistic Approach W.-B. Gan. Part II: Reprinted Articles. Spectrum and Thermodynamics D.F. Wang, et al. Gutzwiller-Jastrow wave functions for the 1/r Hubbard Model D.F. Wang, et al. Solutions to the Multiple-Component 1/r Hubbard Model D.F. Wang. Invariants of the 1/r2 supersymmetric t-J models D.F. Wang, C. Gruber. Exact results of the one-dimensional C. Gruber, D.F. Wang. Quantum duality and Bethe-Ansatz C.-A. Piguet, et al. Exactly Solvable Extended Hubbard Model D.F. Wang. Integrabilities of the Long-Range t-J Models J.T. Liu, D.F. Wang. SU(m/n) Supersymmetric Calogero-Sutherland Model C.-A. Piguet, et al. 1/r2t-J model in a magnetic field J.T. Liu, D.F. Wang. Interaction-Induced Enhancement and Oscillations C.A. Stafford, D.F. Wang. Generalizing Merton's approach of pricing risky debt D.F. Wang.
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 from some of his friends, well-wishers and collaborators. Comprising both reviews of the state-of-the-art and the latest results, this book covers various aspects of quantum information science, including topics like quantum discord, quantum computing, quantum entanglement, etc.
Probability Measures in Terms of Creation, Annihilation and Neutral Operators (L Accardi et al.) Generating Function Methods for Orthogonal Polynomials and Jacobi-Szego Parameters (N Asai et al.) Multiquantum Markov Semigroups, Interacting Branching Processes and Nonlinear Kinetic Equations. Finite Dimensional Case (V Belavkin & C Williams) A Note on Vacuum-Adapted Semimartingales and Monotone Independence (A Belton) Regular Quantum Stochastic Cocycles have Exponential Product Systems (B V R Bhat & M Lindsay) Quantum Mechanics on the Circle Through Hopf q-Deformations of the Kinematical Algebra with Possible Applications to Levy Processes (V K Dobrev et al.) On Algebraic and Quantum Random Walks (D Ellinas) Dual Representations for the Schrodinger Algebra (P H Feinsilver & R Schott) A Limit Theorem for Conditionally Independent Beam Splittings (K H Fichtner et al.) On Quantum Logical Gates on a General Fock Space (W Feudenberg et al.) On an Argument of David Deutsch (R Gill) The Method of Double Product Integrals in Quantization of Lie Bialgebras (R Hudson) Asymptotics of Large Truncated Haar Unitary Matrices (J Reffy) Three Ways to Representations of Ba(E) (M Skeide) On Topological Entropy of Quotients and Extensions (J Zacharias) and other papers.
Feynman functional integrals and the stochastic limit, L. Accardi dynamical programming, filtering and control of quantum Markov processes, V.P. Belavkin quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrodinger equation, A.M. Chebotarev on phase transitions, M. Corgini existence of attractors for dissipative Schrodinger equation in R, M.A. Astaburuaga and V.H. Cortes reduction of noise by squeezed vacuum, F. Fagnola et al outgoing states and resonant behaviour, C. Fernandez stochastic Dyson series and the solution to associated stochastic evolution equations, G.W. Johnson and G. Kallianpur norm estimates for a class of semigroups of Schrodinger type, H. Prado on the recurrence of quantum dynamical semigroups, R. Rebolledo collective interactions in CQED, C. Saavedra T-product and Wiener Measure, D.P. Sankovich from Feynman-Kac formulae to Feynman-Kac semigroups, J.A. van Casteren completely positive quantum stochastic flows with infinite degrees of freedom, J. Lindsay and S.J. Wills characterization of continuous operators on infinite dimension distribution spaces, S.-L. Luo and J.-A. Yan a special time-dependent quantum invariant and a general theorem on quantum symmetries, J.-G. Zambrini.