Quantum Probability And Related Topics - Proceedings Of The 30th Conference

Quantum Probability And Related Topics - Proceedings Of The 30th Conference PDF Author: Rolando Rebolledo
Publisher: World Scientific
ISBN: 9814462179
Category : Mathematics
Languages : en
Pages : 339

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Book Description
This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.

Quantum Probability And Related Topics - Proceedings Of The 30th Conference

Quantum Probability And Related Topics - Proceedings Of The 30th Conference PDF Author: Rolando Rebolledo
Publisher: World Scientific
ISBN: 9814462179
Category : Mathematics
Languages : en
Pages : 339

Get Book Here

Book Description
This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.

Quantum Probability And Related Topics - Proceedings Of The 32nd Conference

Quantum Probability And Related Topics - Proceedings Of The 32nd Conference PDF Author: Franco Fagnola
Publisher: World Scientific
ISBN: 9814447552
Category : Mathematics
Languages : en
Pages : 280

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Book Description
This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.Tools and techniques presented here will be of great value to researchers.

Quantum Probability and Related Topics

Quantum Probability and Related Topics PDF Author: Rolando Rebolledo
Publisher: World Scientific
ISBN: 9814338737
Category : Mathematics
Languages : en
Pages : 339

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Book Description
This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.

Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference

Infinite Dimensional Analysis, Quantum Probability And Related Topics, Qp38 - Proceedings Of The International Conference PDF Author: Noboru Watanabe
Publisher: World Scientific
ISBN: 9811276005
Category : Mathematics
Languages : en
Pages : 306

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Book Description
This volume aims to return to the starting point of the fields of infinite dimensional analysis and quantum probability, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics including classical probability and to different branches of physics, in particular, research for new paradigms for information science on the basis of quantum theory.

Quantum Information And Complexity - Proceedings Of The Meijo Winter School 2003

Quantum Information And Complexity - Proceedings Of The Meijo Winter School 2003 PDF Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9814481750
Category : Science
Languages : en
Pages : 469

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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.

Quantum Information II

Quantum Information II PDF Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9789810243173
Category : Science
Languages : en
Pages : 244

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Book Description
http://www.worldscientific.com/worldscibooks/10.1142/4433

Applications of Quantum Mechanical Techniques to Areas Outside of Quantum Mechanics. 2nd Edition

Applications of Quantum Mechanical Techniques to Areas Outside of Quantum Mechanics. 2nd Edition PDF Author: Emmanuel Haven
Publisher: Frontiers Media SA
ISBN: 2889631508
Category :
Languages : en
Pages : 164

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Book Description
This book deals with applications of quantum mechanical techniques to areas outside of quantum mechanics, so-called quantum-like modeling. Research in this area has grown over the last 15 years. But even already more than 50 years ago, the interaction between Physics Nobelist Pauli and the psychologist Carl Jung in the 1950’s on seeking to find analogous uses of the complementarity principle from quantum mechanics in psychology needs noting. This book does NOT want to advance that society is quantum mechanical! The macroscopic world is manifestly not quantum mechanical. But this rules not out that one can use concepts and the mathematical apparatus from quantum physics in a macroscopic environment. A mainstay ingredient of quantum mechanics, is ‘quantum probability’ and this tool has been proven to be useful in the mathematical modelling of decision making. In the most basic experiment of quantum physics, the double slit experiment, it is known (from the works of A. Khrennikov) that the law of total probability is violated. It is now well documented that several decision making paradoxes in psychology and economics (such as the Ellsberg paradox) do exhibit this violation of the law of total probability. When data is collected with experiments which test ‘non-rational’ decision making behaviour, one can observe that such data often exhibits a complex non-commutative structure, which may be even more complex than if one considers the structure allied to the basic two slit experiment. The community exploring quantum-like models has tried to address how quantum probability can help in better explaining those paradoxes. Research has now been published in very high standing journals on resolving some of the paradoxes with the mathematics of quantum physics. The aim of this book is to collect the contributions of world’s leading experts in quantum like modeling in decision making, psychology, cognition, economics, and finance.

Quantum Information and Complexity

Quantum Information and Complexity PDF Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9789812702449
Category : Computers
Languages : en
Pages : 476

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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.

Exploring Quantum Foundations with Single Photons

Exploring Quantum Foundations with Single Photons PDF Author: Martin Ringbauer
Publisher: Springer
ISBN: 3319649884
Category : Science
Languages : en
Pages : 223

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Book Description
This thesis uses high-precision single-photon experiments to shed new light on the role of reality, causality, and uncertainty in quantum mechanics. It provides a comprehensive introduction to the current understanding of quantum foundations and details three influential experiments that significantly advance our understanding of three core aspects of this problem. The first experiment demonstrates that the quantum wavefunction is part of objective reality, if there is any such reality in our world. The second experiment shows that quantum correlations cannot be explained in terms of cause and effect, even when considering superluminal influences between measurement outcomes. The final experiment in this thesis demonstrates a novel uncertainty relation for joint quantum measurements, where the textbook relation does not apply.

Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces

Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces PDF Author: Volkmar Liebscher
Publisher: American Mathematical Soc.
ISBN: 0821843184
Category : Mathematics
Languages : en
Pages : 124

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Book Description
In a series of papers Tsirelson constructed from measure types of random sets or (generalised) random processes a new range of examples for continuous tensor product systems of Hilbert spaces introduced by Arveson for classifying $E_0$-semigroups upto cocycle conjugacy. This paper starts from establishing the converse. So the author connects each continuous tensor product system of Hilbert spaces with measure types of distributions of random (closed) sets in $[0,1]$ or $\mathbb R_+$. These measure types are stationary and factorise over disjoint intervals. In a special case of this construction, the corresponding measure type is an invariant of the product system. This shows, completing in a more systematic way the Tsirelson examples, that the classification scheme for product systems into types $\mathrm{I}_n$, $\mathrm{II}_n$ and $\mathrm{III}$ is not complete. Moreover, based on a detailed study of this kind of measure types, the author constructs for each stationary factorising measure type a continuous tensor product system of Hilbert spaces such that this measure type arises as the before mentioned invariant.