how quantum computers have inspired logical investigations /
First Statement of Responsibility
Maria Luisa Dalla Chiara, Roberto Giuntini, Roberto Leporini and Giuseppe Sergioli.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
[2018]
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource.
SERIES
Series Title
Trends in logic ;
Volume Designation
volume 48
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
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 EinsteinPodolskyRosen 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.