Quantum Computation and Logic - How Quantum Computers Have Inspired Logical Investigations (Hardcover, 1st ed. 2018)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Trends in Logic, 48
Release date:	December 2018
First published:	2018
Authors:	Maria Luisa Dalla Chiara • Roberto Giuntini • Roberto Leporini • Giuseppe Sergioli
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	178
Edition:	1st ed. 2018
ISBN-13:	978-3-03-004470-1
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Philosophy > Topics in philosophy > Logic
LSN:	3-03-004470-X
Barcode:	9783030044701

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