Quantum Probability and Related Topics

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Probability, Statistics
Cover of the book Quantum Probability and Related Topics by Luigi Accardi, Franco Fagnola, World Scientific Publishing Company
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Author: Luigi Accardi, Franco Fagnola ISBN: 9789814447553
Publisher: World Scientific Publishing Company Publication: November 22, 2012
Imprint: WSPC Language: English
Author: Luigi Accardi, Franco Fagnola
ISBN: 9789814447553
Publisher: World Scientific Publishing Company
Publication: November 22, 2012
Imprint: WSPC
Language: English

This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.

This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.

Tools and techniques presented here will be of great value to researchers.

Contents:

  • Central Extension of Virasoro Type Subalgebras of the Zamolodchikov–w∞ Lie Algebra (L Accardi and A Boukas)
  • Entanglement Protection and Generation Under Continuous Monitoring (A Barchielli and M Gregoratti)
  • Completely Positive Transformations of Quantum Operations (G Chiribella, A Toigo and V Umanità)
  • Invariant Operators in Schrödinger Setting (V K Dobrev)
  • Generation of Semigroups by Degenerate Elliptic Operators Arising in Open Quantum Systems (F Fagnola and L Pantaleón Martínez)
  • Quantum Observables on a Completely Simple Semigroup (Ph. Feinsilver)
  • A Mathematical Treatment for the Contextual Dependent Bio-Systems (T Hara and M Ohya)
  • On the Spectral Gap of the N-Photon Absorption-Emission Process (R Hermida and R Quezada)
  • Some Recent Topics on White Noise Theory (T Hida and Si Si)
  • Quantum Lévy Area as Quantum Martingale Limit (R L Hudson)
  • On Computational Complexity of Quantum Algorithm for Factoring (S Iriyama, M Ohya and I V Volovich)
  • Prequantum Classical Statistical Field Theory: Derivation of Gaussianity of Probability Distributions (A Khrennikov)
  • A Survey on Extensions of Hilbert C*-Modules (B Kolarec)
  • An Isometry Formula for a New Stochastic Integral (H-H Kuo, A Sae-Tang and B Szozda)
  • Infinite Dimensional Laplacians Associated with Derivatives of White Noise (K Saitô)
  • A New Noise Depending on a Space Parameter and Its Transformations (Si Si)
  • Note on Complexities for Gaussian Communication Processes (N Watanabe)

Readership: Researchers in stochastic analysis, quantum probability, quantum information, mathematical modeling, and probability and statistics.
Key Features:

  • Clear and quick information on hot research topics
  • Originality of contributions
  • Leading expects in their field
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.

This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.

Tools and techniques presented here will be of great value to researchers.

Contents:

Readership: Researchers in stochastic analysis, quantum probability, quantum information, mathematical modeling, and probability and statistics.
Key Features:

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