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

Format:

Book

Conference/Event

Contributor:

Hida, Takeyuki, 1927-2017.

Saitō, K. (Kimiaki), 1959-

Meijō Daigaku.

Conference Name:

International Conference on Quantum Information (4th : 2001 : Meijo University)

Language:

English

Subjects (All):

Quantum computers--Congresses.

Quantum computers.

Computer science--Congresses.

Computer science.

Physical Description:

1 online resource (209 p.)

Edition:

1st ed.

Other Title:

Quantum information 4

Quantum information four

Proceedings of the fourth international conference, quantum information IV, Meijo University, Japan, 27 February-1 March 2001

Place of Publication:

River Edge, NJ : World Scientific, c2002.

Language Note:

English

Summary:

<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><

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9789812777324

9812777326

OCLC:

879024306