Quantum information and computing : [... international conference on "Quantum Information 2003" held in Tokyo University of Science/Tokyo (Japan) from 1 to 3 November 2003, in International Institute for Advanced Studies/Kyoto (Japan) from 5 to 7 November

Accardi, Ohya, Watanabe. (eds.) Quantum information and computing (WS, 2006)(ISBN 9812566147)(O)(398s)\_CsQc\_ Preface -- Coherent quantum control of [symbol]-atoms through the stochastic limit / L. Accardi, S. V. Kozyrev and A. N. Pechen -- Recent advances in quantum white noise calculus / L. Accardi and A. Boukas -- Control of quantum states by decoherence / L. Accardi and K. Imafuku -- Logical operations realized on the Ising chain of N qubits / M. Asano, N. Tateda and C. Ishii -- Joint extension of states of fermion subsystems / H. Araki -- Quantum filtering and optimal feedback control of a Gaussian quantum free particle / S. C. Edwards and V. P. Belavkin -- On existence of quantum zeno dynamics / P. Exner and T. Ichinose -- Invariant subspaces and control of decoherence / P. Facchi, V. L. Lepore and S. Pascazio -- Clauser-Horner inequality for electron counting statistics in multiterminal mesoscopic conductors / L. Faoro, F. Taddei and R. Fazio -- Fidelity of quantum teleportation model using beam splittings / K.-H. Fichtner, T. Miyadera and M. Ohya -- Quantum logical gates realized by beam splittings / W. Freudenberg ... [et al.] -- Information divergence for quantum channels / S. J. Hammersley and V. P. Belavkin -- On the uniqueness theorem in quantum information geometry / H. Hasegawa -- Noncanonical representations of a multi-dimensional Brownian motion / Y. Hibino -- Some of future directions of white noise theory / T. Hida -- Information, innovation and elemental random field / T. Hida -- Generalized quantum turing machine and its application to the SAT chaos algorithm / S. Iriyama, M. Ohya and I. Volovich -- A Stroboscopic approach to quantum tomography / A. Jamiolkowski -- Positive maps and separable states in matrix algebras / A. Kossakowski -- Simulating open quantum systems with trapped ions / S. Maniscalco -- A purification scheme and entanglement distillations / H. Nakazato, M. Unoki and K. Yuasa -- Generalized sectors and adjunctions to control micro-macro transitions / I. Ojima -- Saturation of an entropy bound and quantum Markov states / D. Petz -- An infinite dimensional Laplacian acting on some class of Lévy white noise functionals / K. Saitô -- Structure of linear processes / Si Si and Win Win Htay -- Group theory of dynamical maps / E. C. G. Sudarshan -- On quantum analysis, quantum transfer-matrix method, and effective information entropy / M. Suzuki -- Nonequilibrium steady states for a harmonic oscillator interacting with two bose fields-stochastic limit approach and C* algebraic approach / S. Tasaki and L. Accardi -- Control of decoherence with multipulse application / C. Uchiyama -- Quantum entanglement, purification, and linear-optics quantum gates with photonic qubits / P. Walther and A. Zeilinger -- On quantum mutual type measures and capacity / N. Watanabe The Main Purpose Of This Volume Is To Emphasize The Multidisciplinary Aspects Of This Very Active New Line Of Research In Which Concrete Technological And Industrial Realizations Require The Combined Efforts Of Experimental And Theoretical Physicists, Mathematicians And Engineers. Contents: Coherent Quantum Control Of -atoms Through The Stochastic Limit (l Accardi); Information, Innovation And Elemental Random Field (t Hida); Joint Extension Of States Of Fermion Subsystems (h Araki); Emergence Of White Noise Equations From Classical Quantum Mechanics (a Boukas); Saturation Of An Entropy Bound And Quantum Markov States (d Petz); Quantum Entanglement, Purification, And Linear-optics Quantum Gates With Photonic Qubits (p Walther & A Zeilinger); Group Theory Of Dynamical Maps (e C G Sudarshan); Quantum Logical Gates Realized By Beam Splittings (w Freudenberg Et Al.); Generalized Sectors And Adjunctions (i Ojima); Note On Quantum Mutual Type Measures And Capacity (n Watanabe); Structure Of Linear Processes (s Si); An Infinite Dimensional Laplacian Acting On Some Class Of Levy White Noise Functionals (k Saito); Fidelity Of Quantum Teleportation Model Using Beam Splittings (k-h Fichtner Et Al.); Noncanonical Representations Of A Multi-dimensional Brownian Motion (y Hibino); And Other Papers. Readership: Researchers In Quantum Physics And Theoretical Physics. Quantum Filtering and Optimal Feedback Control of a Gaussian Quantum Free Particle1 Inroduction; 2 The Model; 3 Quantum Filtering; 4 Control; 5 Discussion; References; On Existence of Quantum Zeno Dynamics; 1 Introduction and the result; 2 Proof sketch of Theorems 1.1 and 1.2; 3 An example; References; Invariant Subspaces and Control of Decoherence; 1 Introduction; 2 Generalities and notation; 3 Control procedures; 4 The Zeno subspaces; 5 Summary and concluding remarks; References; Clauser-Horne Inequality for Electron Counting Statistics in Multiterminal Mesoscopic Conductors; 1 Introduction The main purpose of this volume is to emphasize the multidisciplinary aspects of this very active new line of research in which concrete technological and industrial realizations require the combined efforts of experimental and theoretical physicists, mathematicians and engineers. Contents: Coherent Quantum Control of?-Atoms through the Stochastic Limit (L Accardi et al.); Recent Advances in Quantum White Noise Calculus (L Accardi & A Boukas); Joint Extension of States of Fermion Subsystems (H Araki); Fidelity of Quantum Teleportation Model Using Beam Splittings (K-H Fichtner et al.); Quantum 2 CH inequality for the full counting statistics3 Results; 4 Conclusions; References; Fidelity of Quantum Teleportation Model Using Beam Splittings; 1 Introduction; 2 Basic Notions and Notations; 3 Teleportation scheme with tests 4; 4 Teleportation and fidelity; References; Quantum Logical Gates Realized by Beam Splittings; 1 Introduction; 2 The Boson Fock Space; 3 A General Beam Splitting Model; 4 The Splitting Procedures; 5 Splitting Functions fulfilling the Truth Table; References; Information Divergence for Quantum Channels; 1 Introduction; 2 Axiomatic Properties of Relative Information 3 Examples of Relative Information for States4 Relative Information for Channels; References; On the Uniqueness Theorem in Quantum Information Geometry; 0 Introduction; 1 Extended Chentsov Theorem for noncommutative (finite-dimensional matrix) manifolds; 2 Derivation and Frechet differentiation; 3 Classical and quantum a-divergence; 4 Proof of the uniqueness for matrix manifolds-Main theorem in the nonparametric version; 5 Parametrization of the matrix manifold; 6 A Concluding Remark-on Tsallis statistics; References; Noncanonical Representations of a Multi-dimensional Brownian Motion 4 Appplications to quantum stochastic controlReferences; Control of Quantum States by Decoherence; 1 Introduction; 2 A master equation driving to a pre-assigned state; 3 A microscopic model; 4 The Master equation; 5 Assimilation of the state; 6 Purification; 7 Example: Entangled state with Spin-Boson model; References; Logical Operations Realized on the Ising Chain of N Qubits; Joint Extension of States of Fermion Subsystems; 1 Introduction; 2 Notation for Fermion Systems; 3 Product Extension; 4 A Pair of Pure and General States for Two Subsystems; 5 Examples; References Preface; Contents; Coherent Quantum Control of A-Atoms through the Stochastic Limit; 1 Introduction; 2 An atom in a laser field; 3 The stochastic limit; 4 The quantum master equation; 5 Stationary states for a two-level atom; 6 Stationary states for a three-level atom; 7 Three-level lambda-atom; 8 Two-level 3-times degenerate atom; 9 Conclusions; References; Recent Advances in Quantum White Noise Calculus; 1 Emergence of white noise equations from classical quantum mechanics; 2 Quantum white noise unitary evolutions; 3 Higher powers of white noise