Keye Martin earned a degree in computer science from The University of New Orleans and a doctorate in mathematics from Tulane University. He went on to become a research fellow at the University of Oxford. He is currently employed as a research mathematician at the Naval Research Laboratory in Washington DC, where he founded the section on informatic phenomena: a group of mathematicians, physicists and computer scientists interested in using natural systems to process information. He spends his spare time writing, proving theorems and playing music.

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 References