Handbook of Quantum Logic and Quantum Structures: Quantum Structures PDF ePub

Handbook of Quantum Logic and Quantum Structures ~ 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 .

Handbook of Quantum Logic and Quantum Structures - 1st Edition ~ 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 .

Handbook of Quantum Logic and Quantum Structures ~ 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 .

Handbook of Quantum Logic and Quantum Structures - 1st Edition ~ Purchase Handbook of Quantum Logic and Quantum Structures - 1st Edition. Print Book & E-Book. ISBN 9780444528698, 9780080931661

Quantum Logic / SpringerLink ~ Abstract. Quantum logic represents a singular point in the class of non-classical logics. Created in the Thirties by Birkhoff and von Neumann [1936] in strict connection with the mathematical formalism of quantum theory, it has been considered for a long time as a kind of ‘fictious logic’, a mere extrapolation from the algebraic structure of the set of all closed subspaces in a Hilbert .

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Quantum Logic (Discrete Mathematics and Theoretical ~ Quantum Logic deals with the foundations of quantum mechanics and, related to it, the behaviour of finite, discrete deterministic systems. The quantum logical approach is particulalry suitable for the investigation and exclusion of certain hidden parameter models of quantum mechanics. Conversely, it can be used to embed quantum universes into classical ones. It is also highly relevant for the .

DYNAMIC QUANTUM LOGIC FOR QUANTUM PROGRAMS / International ~ We present a way to apply quantum logic to the study of quantum programs. This is made possible by using an extension of the usual propositional language in order to make transformations performed on the system appear explicitly. This way, the evolution of the system becomes part of the logical study. We show how both unitary operations and two .

Logic and algebraic structures quantum computing / Logic ~ 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 .

Diederik Aerts - Wikipedia ~ Quantum structure in psychology. The Geneva-Brussels operational axiomatic approach to quantum theory is founded on very general notions, such as `yes-no experiment', 'property', 'state', 'measurement'. The generality of this approach aided very much in the identification and investigation of quantum structures in the non-microscopic realm.

Categorical quantum mechanics : Samson Abramsky : Free ~ This invited chapter in the Handbook of Quantum Logic and Quantum Structures consists of two parts: 1. A substantially updated version of quant-ph/0402130 by the same authors, which initiated the area of categorical quantum mechanics, but had not yet been published in full length; 2.

Quantum (Un)speakables - Download online book PDF ~ Download online book PDF. Quantum (Un)speakables. Book Title :Quantum (Un)speakables. This outstanding collection of essays in commemoration of John S. Bell is the result of the "Quantum (Un)speakables" conference organised by the University of Vienna.

Quantenstruktur – Wikipedia ~ Als Quantenstruktur bezeichnet man in der theoretischen Quantenphysik und in der Wissenschaftstheorie eine spezielle Sichtweise. Sie umfasst losgelöst von der konkreten Anwendung die Beschreibung der zu Grunde liegenden mathematischen Theorie und ihrer Logik.Durch die Abstraktion zu Quantenstrukturen können strukturelle Gemeinsamkeiten zwischen verschiedenen Teilgebieten, z. B. Algebra .

Quantum Models of Cognition and Decision by Jerome R ~ This innovative book by Jerome R. Busemeyer and Peter D. Bruza argues that, actually, the underlying mathematical structures from quantum theory provide a much better account of human thinking than traditional models. They introduce the foundations for modeling probabilistic-dynamic systems using two aspects of quantum theory. The first, 'contextuality', is a way to understand interference .

A New Approach to Quantum Logic Studies in Logic ~ This monograph is an investigation into certain new logical structures implicit in the formalism of quantum mechanics. Its message rests on two pillars. The first pillar is the dynamic view of propositions. Propositions are viewed as acting on states of the world and changing them rather than just being true or false in them. The second pillar is a logical enquiry into the nature of the states .

Non-unitary Evolution of Quantum Logics / SpringerLink ~ In this work we present a dynamical approach to quantum logics. By changing the standard formalism of quantum mechanics to allow non-Hermitian operators as generators of time evolution, we address the question of how can logics evolve in time. In this way, we describe formally how a non-Boolean algebra may become a Boolean one under certain .

The diagonalization method in quantum recursion theory ~ Kochen, S., Specker, E.P.: Logical structures arising in quantum theory. In: Symposium on the Theory of Models. Proceedings of the 1963 International Symposium at Berkeley, pp. 177–189, reprinted in [52, pp. 209–221] (1965) Google Scholar

A Logic for Formal Verification of Quantum Programs ~ While the usual Hoare logic helps us to verify classical deterministic programs, our logic supports quantum probabilistic programs. Our target programming language is QPL defined by Selinger, and our logic is an extension of the probabilistic Hoare-style logic defined by den Hartog. In this paper, we demonstrate how the quantum Hoare-style logic proves properties of well-known algorithms.

Quantum from Principles / SpringerLink ~ Acknowledgments. The work is supported by the Templeton Foundation under the project ID# 43796 A Quantum-Digital Universe, by the Foundational Questions Institute through the large grant The fundamental principles of information dynamics (FQXi-RFP3-1325), by the 1000 Youth Fellowship Program of China, and by the National Natural Science Foundation of China through Grants 11450110096 and .

LOGICS FROM QUANTUM COMPUTATION / International Journal of ~ The theory of logical gates in quantum computation has suggested new forms of quantum logic, called quantum computational logics.The basic semantic idea is the following: the meaning of a sentence is identified with a quregister (a system of qubits) or, more generally, with a mixture of quregisters (called qumix).In this framework, any sentence α of the language gives rise to a quantum tree .

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