Quantum information IV : proceedings of the fourth international conference, Meijo University, Japan, 27 February-1 March 2001 / / edited by T. Hida & K. Saito

• Pubblicazione: River Edge, NJ, : World Scientific, c2002
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (209 p.)
• Disciplina: 530.12
• Soggetto topico: Quantum computers; Computer science
• Altri autori: HidaTakeyuki <1927-2017.> SaitōK <1959-> (Kimiaki)
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: CONTENTS ; Preface ; A Quarter Century of White Noise Theory ; 1. Pre-theory period (white noise without a theory) ; 2. Creation of white noise theory (1975) ; 3. Kubo-Takenaka's construction (1980) ; 4. Characterization theorems of Potthoff-Streit and Lee (1991) ; 5. More spaces of generalized functions (1992-2000) 6. Applications of white noise theory ; 7. References on white noise theory ; References ; Integral Transform and Segal-Bargmann Representation Associated to q-Charlier Polynomials ; 1 Introduction ; 2 q-deformed Charlier Polynomials ; 3 Segal-Bargmann Transform and Hardy Space 4 Main Results ; Appendix ; References ; Notions of Independence in Algebraic Probability Theory and Set Partition Statistics ; 1 Singleton condition and set partition statistics ; 2 Law of large numbers central limit theorems and entangled ergodicity 3 Set partition statistics on discrete groups ; 4 Singleton independence ; 5 A limit theorem on the Haagerup states ; 6 Quantum decomposition in a discrete group ; 7 Interacting Fock spaces associated with a discrete group 8 Applications to limit theorems in algebraic probability theory ; References ; Some Thoughts on the Infinite Dimensional Harmonic Analysis ; 1 Background ; 2 Roles of whiskers ; 3 Conformal group ; 4 Concluding remarks ; References
• Sommario/riassunto: <br><i>Contents: </i><ul><li>A Quarter Century of White Noise Theory <i>(H-H Kuo)</i></li><li>Integral Transform and Segal-Bargmann Representation Associated to <i>q</i>-Charlier Polynomials <i>(N Asai)</i></li><li>Notions of Independence in Algebraic Probability Theory and Set Partition Statistics <i>(Y Hashimoto)</i></li><li>Some Thoughts on the Infinite Dimensional Harmonic Analysis <i>(T Hida</i> & <i>Y Hara-Mimachi)</i></li><li>A Treatment of Quantum Baker's Map by Chaos Degree <i>(K Inoue et al.)</i></li><li>Poisson Noise Analysis Based on the Lévy Laplacian <i>(A Ishikawa et al.)</i><
• Altri titoli varianti: Quantum information 4; Quantum information four; Proceedings of the fourth international conference, quantum information IV, Meijo University, Japan, 27 February-1 March 2001
• Titolo autorizzato: Quantum information IV
• ISBN: 9789812777324; 9812777326
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910968134203321
• Lo trovi qui: Univ. Federico II