Disorder in domain theory
Quantum logic Programming languages (Electronic computers) Order-disorder models
Morgan & Claypool Publishers
2018
EISBN 9781643272740
1. Essentials.
1.1. Intuition.
1.2. Domains.
1.3. Measurement.
1.4. The postulates of quantum mechanics
2. Majorization.
2.1. The relation to domain theory.
2.2. Ensembles.
2.3. Local operations and classical communication.
2.4. The universal limit
3. The implicative order.
3.1. A continuous domain of classical states.
3.2. Implication.
3.3. Measures of uncertainty.
3.4. Quantum searching
4. The Bayesian and spectral orders.
4.1. The Bayesian order.
4.2. The maximum entropy state.
4.3. The spectral order.
4.4. Qubit channels.
5. Open questions.
Domain theory, a subject that arose as a response to natural concerns in the semantics of computation, studies ordered sets which possess an unusual amount of mathematical structure. This book explores its connection with quantum information science and the concept that relates them: disorder.
1.1. Intuition.
1.2. Domains.
1.3. Measurement.
1.4. The postulates of quantum mechanics
2. Majorization.
2.1. The relation to domain theory.
2.2. Ensembles.
2.3. Local operations and classical communication.
2.4. The universal limit
3. The implicative order.
3.1. A continuous domain of classical states.
3.2. Implication.
3.3. Measures of uncertainty.
3.4. Quantum searching
4. The Bayesian and spectral orders.
4.1. The Bayesian order.
4.2. The maximum entropy state.
4.3. The spectral order.
4.4. Qubit channels.
5. Open questions.
Domain theory, a subject that arose as a response to natural concerns in the semantics of computation, studies ordered sets which possess an unusual amount of mathematical structure. This book explores its connection with quantum information science and the concept that relates them: disorder.
