This volume includes the proceedings of the Fifth Conference on Quantum Information held at Meijo University, Japan.
Author(s): T. Hida, K. Saito
Edition: illustrated edition
Publisher: World Scientific Pub Co (
Language: English
Pages: 228
CONTENTS ......Page 8
1 Introduction ......Page 11
2 Basic Notions ......Page 14
3 Entangled States ......Page 17
4 Channels ......Page 20
5 The State of the Memory after Recognition ......Page 22
References ......Page 26
1 Introduction ......Page 29
2 Quantum Probability and Quantum Field Theory ......Page 33
3 Local Observations and Modified Bell's Equations ......Page 35
4 Noncommutative Spectral Theory and Quantum Theory ......Page 41
6 Conclusions ......Page 42
References ......Page 43
2 Gel'fand Triple in Terms of Boson Fock Space ......Page 45
3 Gel'fand Triples in Terms of Multiple Wiener-Ito Integrals Associated with Gaussian and Poisson Measures ......Page 49
4 On Gaussian and Poisson White Noises ......Page 51
Appendix ......Page 54
References ......Page 55
1. GAUSSIAN MEASURE AND HERMITE POLYNOMIALS ......Page 59
2. POISSON MEASURE AND CHARLIER POLYNOMIALS ......Page 60
3. GENERAL CASE ......Page 61
REFERENCES ......Page 64
1 Introduction ......Page 67
2 Market Maker's Optimal Filtering ......Page 69
3 Informed Trader's Optimal Trading ......Page 75
4 Further Directions of Research ......Page 83
5 Appendices ......Page 84
References ......Page 86
1. Introduction ......Page 87
2. The Colombeau algebra of generalized functions ......Page 89
3. Existence uniqueness and consistency results ......Page 91
4. Dependency of generalized solutions on diffusion coefficients and initial data ......Page 93
References ......Page 96
1. Quantum channels ......Page 99
2. Quantum channel for Fredkin-Toffoli-Milburn gate ......Page 102
3. Quantum logical gate on symmetric Fock space ......Page 106
References ......Page 111
1. Introduction ......Page 113
2. Background ......Page 114
3. Gaussian systems ......Page 116
4. Functionals of Poisson noise ......Page 122
5. Concluding remarks ......Page 127
References ......Page 128
1 Introduction ......Page 131
2 Preliminaries ......Page 134
3 New Examples ......Page 138
4 Remarks on Conditions (A1)-(A5) ......Page 142
5 Proof of Theorem 1.1 ......Page 147
References ......Page 153
1 Gaussian Channels ......Page 155
2 Large Deviation Theorem ......Page 159
3 Proof of Main Results ......Page 163
Appendix Proof of Proposition 2 ......Page 165
References ......Page 168
l Introduction ......Page 169
2 A Gel'fand triple on the classical Wiener space ......Page 170
3 The test and generalized Wiener functionals ......Page 173
4 Examples of generalized Wiener functionals ......Page 177
5 Calculus of generalized Wiener functionals ......Page 181
6 The white noise integration ......Page 184
References ......Page 189
1. Introduction ......Page 191
2. Preliminaries ......Page 192
3. Self-adjointness of the Levy Laplacian ......Page 194
4. A relationship between the Levy Laplacian and the number operator ......Page 196
5. An infinite dimensional fractional Brownian motion and the Levy Laplacian ......Page 198
References ......Page 199
1. Introduction ......Page 203
2. Background ......Page 204
3. Stable process and jump finding ......Page 207
4. Poisson noise : path-wise theory ......Page 208
References ......Page 210
1 Introduction ......Page 213
2 Model and Nonequilibrium Steady States ......Page 215
3 Relative Entropy and Its Change ......Page 218
4 Thermodynamic Assessment of Relative Entropy Production ......Page 223
5 Summary ......Page 225
References ......Page 226
