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＜電子ブック＞
Quantum Computation and Logic : How Quantum Computers Have Inspired Logical Investigations / by Maria Luisa Dalla Chiara, Roberto Giuntini, Roberto Leporini, Giuseppe Sergioli
(Trends in Logic, Studia Logica Library. ISSN:22127313 ; 48)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
大きさ	XVI, 178 p. 18 illus., 3 illus. in color : online resource
著者標目	*Dalla Chiara, Maria Luisa author Giuntini, Roberto author Leporini, Roberto author Sergioli, Giuseppe author SpringerLink (Online service)
件　名	LCSH:Logic LCSH:Mathematical logic LCSH:Quantum computers FREE:Logic FREE:Mathematical Logic and Foundations FREE:Quantum Computing
一般注記	The mathematical environment of quantum information -- Pieces of quantum information and quantum logical gates -- Quantum entanglement: mystery and resource -- From quantum logical circuits to quantum computational logics -- Individuals, quantifiers and epistemic operators -- From qubits to qudits -- What exactly are quantum computations? Classical and quantum Turing machines -- Ambiguity in natural and artistic languages: a quantum semantic analysis -- Quantum information in the philosophical debates about quantum theory -- Mathematical Appendix 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 HTTP:URL=https://doi.org/10.1007/978-3-030-04471-8

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