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Quantum Computation and Logic

2018-12-10 Philosophy
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Release : 2018-12-10
Genre : Philosophy
Kind : eBook
Book Rating : 718/5 ( reviews)

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Book Synopsis Quantum Computation and Logic by : Maria Luisa Dalla Chiara

Download or read book Quantum Computation and Logic written by Maria Luisa Dalla Chiara. This book was released on 2018-12-10. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a general survey of the main concepts, questions and results that have been developed in the recent interactions between quantum information, quantum computation and logic. Divided into 10 chapters, the books starts with an introduction of the main concepts of the quantum-theoretic formalism used in quantum information. It then gives a synthetic presentation of the main “mathematical characters” of the quantum computational game: qubits, quregisters, mixtures of quregisters, quantum logical gates. Next, the book investigates the puzzling entanglement-phenomena and logically analyses the Einstein–Podolsky–Rosen paradox and introduces the reader to quantum computational logics, and new forms of quantum logic. The middle chapters investigate the possibility of a quantum computational semantics for a language that can express sentences like “Alice knows that everybody knows that she is pretty”, explore the mathematical concept of quantum Turing machine, and illustrate some characteristic examples that arise in the framework of musical languages. The book concludes with an analysis of recent discussions, and contains a Mathematical Appendix which is a survey of the definitions of all main mathematical concepts used in the book.

Quantum Logic

1998-09-01 Science
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Release : 1998-09-01
Genre : Science
Kind : eBook
Book Rating : 074/5 ( reviews)

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Book Synopsis Quantum Logic by : Karl Svozil

Download or read book Quantum Logic written by Karl Svozil. This book was released on 1998-09-01. Available in PDF, EPUB and Kindle. Book excerpt: 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 characterization of finite automation. This book has been written with a broad readership in mind. Great care has been given to the motivation of the concepts and to the explicit and detailed discussions of examples.

An Introduction to Hilbert Space and Quantum Logic

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 414/5 ( reviews)

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Book Synopsis An Introduction to Hilbert Space and Quantum Logic by : David W. Cohen

Download or read book An Introduction to Hilbert Space and Quantum Logic written by David W. Cohen. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.

High-Fidelity Quantum Logic in Ca+

2017-10-14 Computers
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Release : 2017-10-14
Genre : Computers
Kind : eBook
Book Rating : 164/5 ( reviews)

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Book Synopsis High-Fidelity Quantum Logic in Ca+ by : Christopher J. Ballance

Download or read book High-Fidelity Quantum Logic in Ca+ written by Christopher J. Ballance. This book was released on 2017-10-14. Available in PDF, EPUB and Kindle. Book excerpt: This thesis describes experimental work in the field of trapped-ion quantum computation. It outlines the theory of Raman interactions, examines the various sources of error in two-qubit gates, and describes in detail experimental explorations of the sources of infidelity in implementations of single- and two-qubit gates. Lastly, it presents an experimental demonstration of a mixed-species entangling gate.

Reasoning in Quantum Theory

2004-03-31 Mathematics
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Release : 2004-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 784/5 ( reviews)

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Book Synopsis Reasoning in Quantum Theory by : Maria Luisa Dalla Chiara

Download or read book Reasoning in Quantum Theory written by Maria Luisa Dalla Chiara. This book was released on 2004-03-31. Available in PDF, EPUB and Kindle. Book excerpt: "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.

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