Quantum Collections
| Autor: | Andre Kornell |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Computer Science::Information Retrieval
General Mathematics 010102 general mathematics Astrophysics::Instrumentation and Methods for Astrophysics Mathematics - Operator Algebras Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) 16. Peace & justice 01 natural sciences TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES ComputingMethodologies_DOCUMENTANDTEXTPROCESSING FOS: Mathematics Physical Sciences and Mathematics Computer Science::General Literature 0101 mathematics Operator Algebras (math.OA) math.OA ComputingMilieux_MISCELLANEOUS |
| Zdroj: | Kornell, Andre. (2012). Quantum Collections. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/7t40z5w4 |
| Popis: | We develop the viewpoint that the opposite of the category of W*-algebras and unital normal *-homomorphisms is analogous to the category of sets and functions. For each pair of W*-algebras, we construct their free exponential, which in the context of this analogy corresponds to the collection of functions from one of these W*-algebras to the other. We also show that every unital normal completely positive map between W*-algebras arises naturally from a normal state on their free exponential. added an NSF grant number; fixed a typo in the proof of theorem 9.1 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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