Handbook Of Quantum Logic And Quantum Structures
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| Author | : Kurt Engesser |
| Publisher | : Elsevier |
| Total Pages | : 727 |
| Release | : 2009-06-16 |
| Genre | : Mathematics |
| ISBN | : 0080931669 |
Download Handbook of Quantum Logic and Quantum Structures Book in PDF, Epub and Kindle
Quantum mechanics is said to be the most successful physical theory ever. It is, in fact, unique in its success when applied to concrete physical problems. On the other hand, however, it raises profound conceptual problems that are equally unprecedented. Quantum logic, the topic of this volume, can be described as an attempt to cast light on the puzzle of quantum mechanics from the point of view of logic. Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled, “The logic of quantum mechanics, quantum logic has undergone an enormous development. Various schools of thought and approaches have emerged, and there are a variety of technical results. The chapters of this volume constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic. Authored by eminent scholars in the field Material presented is of recent origin representing the frontier of the subject Provides the most comprehensive and varied discussion of Quantum Mechanics available
| Author | : Kurt Engesser |
| Publisher | : Elsevier Science Limited |
| Total Pages | : 801 |
| Release | : 2007 |
| Genre | : Computers |
| ISBN | : 9780444528704 |
Download Handbook of Quantum Logic and Book in PDF, Epub and Kindle
Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled “The logic of quantum mechanics? quantum logic, i.e. the logical investigation of quantum mechanics, has undergone an enormous development. Various schools of thought and approaches have emerged and there are a variety of technical results. Quantum logic is a heterogeneous field of research ranging from investigations which may be termed logical in the traditional sense to studies focusing on structures which are on the border between algebra and logic. For the latter structures the term quantum structures is appropriate. The chapters of this Handbook, which are authored by the most eminent scholars in the field, constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic and quantum structures. Much of the material presented is of recent origin representing the frontier of the subject. The present volume focuses on quantum structures. Among the structures studied extensively in this volume are, just to name a few, Hilbert lattices, D-posets, effect algebras MV algebras, partially ordered Abelian groups and those structures underlying quantum probability. - Written by eminent scholars in the field of logic - A comprehensive presentation of the theory, approaches and results in the field of quantum logic - Volume focuses on quantum structures
| Author | : Kurt Engesser |
| Publisher | : Elsevier |
| Total Pages | : 821 |
| Release | : 2011-08-11 |
| Genre | : Mathematics |
| ISBN | : 008055038X |
Download Handbook of Quantum Logic and Quantum Structures Book in PDF, Epub and Kindle
Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled “The logic of quantum mechanics quantum logic, i.e. the logical investigation of quantum mechanics, has undergone an enormous development. Various schools of thought and approaches have emerged and there are a variety of technical results.Quantum logic is a heterogeneous field of research ranging from investigations which may be termed logical in the traditional sense to studies focusing on structures which are on the border between algebra and logic. For the latter structures the term quantum structures is appropriate. The chapters of this Handbook, which are authored by the most eminent scholars in the field, constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic and quantum structures. Much of the material presented is of recent origin representing the frontier of the subject. The present volume focuses on quantum structures. Among the structures studied extensively in this volume are, just to name a few, Hilbert lattices, D-posets, effect algebras MV algebras, partially ordered Abelian groups and those structures underlying quantum probability. - Written by eminent scholars in the field of logic- A comprehensive presentation of the theory, approaches and results in the field of quantum logic- Volume focuses on quantum structures
| Author | : Diederik Aerts |
| Publisher | : Springer |
| Total Pages | : 268 |
| Release | : 1999-08-31 |
| Genre | : Mathematics |
| ISBN | : |
Download Quantum Structures and the Nature of Reality Book in PDF, Epub and Kindle
Quantum Structures and the Nature of Reality is a collection of papers written for an interdisciplinary audience about the quantum structure research within the International Quantum Structures Association. The advent of quantum mechanics has changed our scientific worldview in a fundamental way. Many popular and semi-popular books have been published about the paradoxical aspects of quantum mechanics. Usually, however, these reflections find their origin in the standard views on quantum mechanics, most of all the wave-particle duality picture. Contrary to relativity theory, where the meaning of its revolutionary ideas was linked from the start with deep structural changes in the geometrical nature of our world, the deep structural changes about the nature of our reality that are indicated by quantum mechanics cannot be traced within the standard formulation. The study of the structure of quantum theory, its logical content, its axiomatic foundation, has been motivated primarily by the search for their structural changes. Due to the high mathematical sophistication of this quantum structure research, no books have been published which try to explain the recent results for an interdisciplinary audience. This book tries to fill this gap by collecting contributions from some of the main researchers in the field. They reveal the steps that have been taken towards a deeper structural understanding of quantum theory.
| Author | : Jennifer Chubb |
| Publisher | : Cambridge University Press |
| Total Pages | : 355 |
| Release | : 2016-02-26 |
| Genre | : Mathematics |
| ISBN | : 1316654060 |
Download Logic and Algebraic Structures in Quantum Computing Book in PDF, Epub and Kindle
Arising from a special session held at the 2010 North American Annual Meeting of the Association for Symbolic Logic, this volume is an international cross-disciplinary collaboration with contributions from leading experts exploring connections across their respective fields. Themes range from philosophical examination of the foundations of physics and quantum logic, to exploitations of the methods and structures of operator theory, category theory, and knot theory in an effort to gain insight into the fundamental questions in quantum theory and logic. The book will appeal to researchers and students working in related fields, including logicians, mathematicians, computer scientists, and physicists. A brief introduction provides essential background on quantum mechanics and category theory, which, together with a thematic selection of articles, may also serve as the basic material for a graduate course or seminar.
| Author | : Jennifer Chubb |
| Publisher | : Cambridge University Press |
| Total Pages | : 355 |
| Release | : 2016-02-26 |
| Genre | : Computers |
| ISBN | : 110703339X |
Download Logic and Algebraic Structures in Quantum Computing Book in PDF, Epub and Kindle
Experts in the field explore the connections across physics, quantum logic, and quantum computing.
| Author | : Maria Luisa Dalla Chiara |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 301 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 9401705267 |
Download Reasoning in Quantum Theory Book in PDF, Epub and Kindle
"Is quantum logic really logic?" This book argues for a positive answer to this question once and for all. There are many quantum logics and their structures are delightfully varied. The most radical aspect of quantum reasoning is reflected in unsharp quantum logics, a special heterodox branch of fuzzy thinking. For the first time, the whole story of Quantum Logic is told; from its beginnings to the most recent logical investigations of various types of quantum phenomena, including quantum computation. Reasoning in Quantum Theory is designed for logicians, yet amenable to advanced graduate students and researchers of other disciplines.
| Author | : Jarosław Pykacz |
| Publisher | : Springer |
| Total Pages | : 71 |
| Release | : 2015-06-20 |
| Genre | : Science |
| ISBN | : 3319193848 |
Download Quantum Physics, Fuzzy Sets and Logic Book in PDF, Epub and Kindle
This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Łukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and previous attempts to apply them for the description of quantum phenomena. The prospective many-valued interpretation of quantum mechanics is soundly based on a theorem concerning the isomorphic representation of Birkhoff-von Neumann quantum logic in the form of a special Łukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions.
| Author | : D. Michael Miller |
| Publisher | : Springer Nature |
| Total Pages | : 135 |
| Release | : 2022-05-31 |
| Genre | : Technology & Engineering |
| ISBN | : 3031797795 |
Download Multiple-Valued Logic Book in PDF, Epub and Kindle
Multiple Valued Logic: Concepts and Representations begins with a survey of the use ofmultiple-valued logic in several modern application areas including electronic design automation algorithms and circuit design. The mathematical basis and concepts of various algebras and systems of multiple valued logic are provided including comparisons among various systems and examples of their application. The book also provides an examination of alternative representations of multiple-valued logic suitable for implementation as data structures in automated computer applications. Decision diagram structures for multiple valued applications are described in detail with particular emphasis on the recently developed quantum multiple valued decision diagram. Table of Contents: Multiple Valued Logic Applications / MVL Concepts and Algebra / Functional Representations / Reversible andQuantum Circuits / Quantum Multiple-Valued Decision Diagrams / Summary / Bibliography
| Author | : Jaroslaw Miszczak |
| Publisher | : Springer Nature |
| Total Pages | : 113 |
| Release | : 2022-05-31 |
| Genre | : Mathematics |
| ISBN | : 3031025164 |
Download High Level Structures for Quantum Computing Book in PDF, Epub and Kindle
This book is concerned with the models of quantum computation. Information processing based on the rules of quantum mechanics provides us with new opportunities for developing more efficient algorithms and protocols. However, to harness the power offered by quantum information processing it is essential to control the behavior of quantum mechanical objects in a precise manner. As this seems to be conceptually difficult at the level of quantum states and unitary gates, high-level quantum programming languages have been proposed for this purpose. The aim of this book is to provide an introduction to abstract models of computation used in quantum information theory. Starting from the abstract models of Turing machine and finite automata, we introduce the models of Boolean circuits and Random Access Machine and use them to present quantum programming techniques and quantum programming languages. Table of Contents: Introduction / Turing machines / Quantum Finite State Automata / Computational Circuits / Random Access Machines / Quantum Programming Environment / Quantum Programming Languages / Imperative quantum programming / Functional Quantum Programming / Outlook
