Quantum information is a developing multi-disciplinary field, with many exciting links to white noise theory. This connection is explored and presented in this work, which effectively bridges the gap between quantum information theory and complex systems. Arising from the Meijo Winter School and International Conference, the lecture notes and research papers published in this timely volume will have a significant impact on the future development of the theories of quantum information and complexity. This book will be of interest to mathematicians, physicists, computer scientists as well as electrical engineers working in this field. Contents:Quantum Information, Quantum Communication and Innovation (L Accardi)On the Quantum Liouville Space (I Antoniou & Z Suchanecki)L1-Theory for the Kolmogorov Operators of Stochstic Generalized Burgers Equations (M Röckner & Z Sobol)Homogenization of Infinite Dimensional Diffusion Processes with Periodic Drift Coefficients (S Albeverio et al.)Some Topics on White Noise Analysis (T Hida & Si Si)On a Design of Transition Probabilities and Estimates of Cover Times (S Ikeda et al.)Recent Progress on the White Noise Approach to the Lévy Laplacian (H-H Kuo)An Infinite Dimensional Stochastic Process and the Lévy Laplacian Acting on WND-Valued Functions (K Nishi & K Saitô)Note on Poisson Noise (Si Si)Note on Linear Process (Win Win Htay)and other papers Readership: Researchers in probability and statistics and quantum information. Keywords:Quantum Information;Complexity;White Noise Theory;Levy Laplacian;Infinite Dimensional Stochastic Processes
This work explores the scope and flexibility afforded by integrated quantum photonics, both in terms of practical problem-solving, and for the pursuit of fundamental science. The author demonstrates and fully characterizes a two-qubit quantum photonic chip, capable of arbitrary two-qubit state preparation. Making use of the unprecedented degree of reconfigurability afforded by this device, a novel variation on Wheeler’s delayed choice experiment is implemented, and a new technique to obtain nonlocal statistics without a shared reference frame is tested. Also presented is a new algorithm for quantum chemistry, simulating the helium hydride ion. Finally, multiphoton quantum interference in a large Hilbert space is demonstrated, and its implications for computational complexity are examined.
Release on 2005-12-17 | by Vladimir M. Akulin,A. Sarfati,G. Kurizki,S. Pellegrin
Proceedings of the NATO ARW on Decoherence, Entanglement and Information Protection in Complex Quantum Systems, Les Houches, France, from 26 to 30 April 2004.
Author: Vladimir M. Akulin,A. Sarfati,G. Kurizki,S. Pellegrin
Pubpsher: Springer Science & Business Media
This book is a collection of articles on the contemporary status of quantum mechanics, dedicated to the fundamental issues of entanglement, decoherence, irreversibility, information processing, and control of quantum evolution, with a view of possible applications. It has multidisciplinary character and is addressed at a broad readership in physics, computer science, chemistry, and electrical engineering. It is written by the world-leading experts in pertinent fields such as quantum computing, atomic, molecular and optical physics, condensed matter physics, and statistical physics.