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Author: Fabio Benatti Publisher: Springer Science & Business Media ISBN: 1402093063 Category : Computers Languages : en Pages : 535
Book Description
This book offers a self-contained overview of the entropic approach to quantum dynamical systems. In it, complexity in quantum dynamics is addressed by comparison with the classical ergodic, information, and algorithmic complexity theories.
Author: Fabio Benatti Publisher: Springer Science & Business Media ISBN: 1402093063 Category : Computers Languages : en Pages : 535
Book Description
This book offers a self-contained overview of the entropic approach to quantum dynamical systems. In it, complexity in quantum dynamics is addressed by comparison with the classical ergodic, information, and algorithmic complexity theories.
Author: Takeyuki Hida Publisher: World Scientific ISBN: 9812560475 Category : Science Languages : en Pages : 469
Book Description
"The Winter School and the International Conference on 'Quantum Information and Complexity' was held from 6 to 10 January 2003, at Meijo University, Nagoya"--P. v.
Author: T Hida Publisher: World Scientific ISBN: 9814481750 Category : Science Languages : en Pages : 468
Book Description
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
Author: Thomas Vidick Publisher: Foundations and Trends (R) in Theoretical Computer Science ISBN: 9781680831269 Category : Languages : en Pages : 232
Book Description
Quantum Proofs provides an overview of many of the known results concerning quantum proofs, computational models based on this concept, and properties of the complexity classes they define. In particular, it discusses non-interactive proofs and the complexity class QMA, single-prover quantum interactive proof systems and the complexity class QIP, statistical zero-knowledge quantum interactive proof systems and the complexity class QSZK, and multiprover interactive proof systems and the complexity classes QMIP, QMIP*, and MIP*. Quantum Proofs is mainly intended for non-specialists having a basic background in complexity theory and quantum information. A typical reader may be a student or researcher in either area desiring to learn about the fundamentals of the (actively developing) theory of quantum interactive proofs.
Author: N. David Mermin Publisher: Cambridge University Press ISBN: 9781139466806 Category : Science Languages : en Pages :
Book Description
In the 1990's it was realized that quantum physics has some spectacular applications in computer science. This book is a concise introduction to quantum computation, developing the basic elements of this new branch of computational theory without assuming any background in physics. It begins with an introduction to the quantum theory from a computer-science perspective. It illustrates the quantum-computational approach with several elementary examples of quantum speed-up, before moving to the major applications: Shor's factoring algorithm, Grover's search algorithm, and quantum error correction. The book is intended primarily for computer scientists who know nothing about quantum theory, but will also be of interest to physicists who want to learn the theory of quantum computation, and philosophers of science interested in quantum foundational issues. It evolved during six years of teaching the subject to undergraduates and graduate students in computer science, mathematics, engineering, and physics, at Cornell University.
Author: Burgin Mark Publisher: World Scientific ISBN: 9813109041 Category : Language Arts & Disciplines Languages : en Pages : 412
Book Description
The book is a collection of papers of experts in the fields of information and complexity. Information is a basic structure of the world, while complexity is a fundamental property of systems and processes. There are intrinsic relations between information and complexity. The research in information theory, the theory of complexity and their interrelations is very active. The book will expand knowledge on information, complexity and their relations representing the most recent and advanced studies and achievements in this area. The goal of the book is to present the topic from different perspectives — mathematical, informational, philosophical, methodological, etc.
Author: Alexei Yu. Kitaev Publisher: American Mathematical Soc. ISBN: 0821832298 Category : Computers Languages : en Pages : 274
Book Description
An introduction to a rapidly developing topic: the theory of quantum computing. Following the basics of classical theory of computation, the book provides an exposition of quantum computation theory. In concluding sections, related topics, including parallel quantum computation, are discussed.
Author: Fabio Benatti
Author: Fabio Benatti
Author: Scott Aaronson
Author: Takeyuki Hida
Author: T Hida
Author: Thomas Vidick
Author: Chiara Macchiavello
Author: Mark Wilde
Author: N. David Mermin
Author: Burgin Mark
Author: Alexei Yu. Kitaev