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Bibframe Work

Title
Quantum Computation and Logic
Type
Text
Monograph
Contribution
Dalla Chiara, Maria Luisa (author)
Giuntini, Roberto (author)
Leporini, Roberto (author)
Sergioli, Giuseppe (author)
Classification
DDC: 160 full (Source: 23)
Content
text (txt)
Summary
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
Table Of Contents
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.
Authorized Access Point
Dalla Chiara, Maria Luisa Quantum Computation and Logic