White noise analysis and quantum information

by Accardi, L., (Luigi)

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Title Statements

Full title :White noise analysis and quantum information / editors, Luigi Accardi [et autres].

Summary

"This volume is to pique the interest of many researchers in the fields of infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. These fields are rather wide and are of a strongly interdisciplinary nature. For such a purpose, we strove to bridge among these interdisciplinary fields in our Workshop on IDAQP and their Applications that was held at the Institute for Mathematical Sciences, National University of Singapore from 3-7 March 2014. Readers will find that this volume contains all the exciting contributions by well-known researchers in search of new directions in these fields."--Site de l'éditeur.

Edition Statements

Publication Date:2018.

Publication Statements

Publisher(s):World Scientific Publishing Co Pte Ltd
Place of Publication:Singapore
Language:eng
Publication Date:2018.

Notes

Versement en lot.

The Physical Object

Description:1 ressource en ligne (243 pages) : : illustrations.

Edition Identifiers

ISBN:9789813225466, 9813225467
oclc:on1023724868
LC Classification:QA274.29
Dewey Decimal:519.22

Foreword; Preface; Extensions of Quantum Theory Canonically Associated to Classical Probability Measures; 1. Introduction; 2. The *-Algebra of Polynomial Functions; 2.1. The polynomial filtration; 2.2. The monomial gradation; 2.3. States on P and probability measures on R; 2.4. Connection with random variables; 2.5. The cyclic representation of (P, ., .); 2.6. Real valued random variables as symmetric operators; 3. The -Orthogonal Polynomials; 3.1. The -orthogonal gradation of P; 3.2. The symmetric Jacobi relation; 3.3. Creation and annihilation operators.

2. Representation of Measurement Process2.1. Interaction between System and Apparatus; 2.2. Lifting Map and Decoherence Process; 2.3. Consistency with von Neumann's Scheme; References; On Random White Noise Processes with Memory for Time Series Analysis; 1. Introduction; 2. Random Variables with Memory; 3. Mean Square Displacement with Memory; 3.1. Wiener process; 3.2. Fractional Brownian motion; 3.3. Exponentially-modified Brownian motion; 4. Comparison with Empirical Data; 4.1. Vortex track fluctuations; 4.2. Particle-tracking in microrheology; 5. Conclusion; Acknowledgments; References.

3. Hida Distributions3.1. White noise…

Subjects

Distribution spectrale de l'énergie e-books Livres numériques Processus stochastiques Spectral energy distribution Stochastic Processes Théorie du bruit blanc White noise theory