Pub. Date:
World Scientific Publishing Company, Incorporated
Quantum Stochastics and Information: Statistics, Filtering and Control

Quantum Stochastics and Information: Statistics, Filtering and Control

by Viacheslav P Belavkin, Madalin Guta


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Quantum stochastic calculus has become an indispensable tool in modern quantum physics, its effectiveness being illustrated by recent developments in quantum control which place the calculus at the heart of the theory. Quantum statistics is rapidly taking shape as an intrinsically quantum counterpart to classical statistics, motivated by advances in quantum engineering and the need for better statistical inference tools for quantum systems.This volume contains a selection of regular research articles and reviews by leading researchers in quantum control, quantum statistics, quantum probability and quantum information. The selection offers a unified view of recent trends in quantum stochastics, highlighting the common mathematical language of Hilbert space operators, and the deep connections between classical and quantum stochastic phenomena.

Product Details

ISBN-13: 9789812832955
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 08/01/2008
Pages: 412
Product dimensions: 6.10(w) x 9.10(h) x 1.10(d)

Table of Contents

Preface v

Organizing Committees vii

Part A Quantum Probability and Analysis 1

Approximation via Toy Fock Space - The Vacuum-Adapted Viewpoint A. C. R. Belton 3

Regular Solutions of Quantum Stochastic Differential Equations F. Fagnola 23

From Algebraic to Analytic Double Product Integrals R. Hudson 34

Product Systems; a Survey with Commutants in View M. Skeide 47

Clifford Algebras, Random Graphs, and Quantum Random Variables R. Schott G. S. Staples 87

The Set of Density Operators Modelled on an Orlicz Space R. F. Streater 99

Quantum Extensions of the Classical Domination Principle V. Umanità 110

Analysis in Operator Spaces B. Zegarliński 121

Part B Quantum Statistics, Filtering and Control 141

Quantum Filtering and Optimal Control V. P. Belavkin S. Edwards 143

On the Separation Principle in Quantum Control L. Bouten R. van Handel 206

Conciliation of Bayes and Pointwise Quantum State Estimation R. D. Gill 239

Optimal Quantum Feedback for Canonical Observables J. Gough 262

Feedback Control of Quantum Systems M. James 280

Local Asymptotic Normality and Optimal Estimation for d-Dimensional Quantum Systems J. Kahn M. Gujă 300

Part C Quantum Measurements and Information 323

Information Gain in Quantum Continual Measurements A. Barchielli G. Lupieri 325

Noisy Qutrit Channels A.Ch&ecedil;cińska & K. Wódkiewicz

Additivity of Entangled Channel Capacity Given Quantum Input States V. P. Belavkin X. Dai 357

Classical Coding and the Cauchy-Schwarz Inequality B. Janssens 375

Note on Information Transmission in Quantum Systems N. Watanabe 383

Author Index 397

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