Non-unitary Evolution of Quantum Logics
| Autor: | Federico Holik, Leonardo Vanni, Sebastian Fortin |
|---|---|
| Přispěvatelé: | Centre Leo Apostel |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
010308 nuclear & particles physics Categorical quantum mechanics 01 natural sciences Algebra Open quantum system Quantum probability Quantum process 0103 physical sciences Quantum operation Quantum information 010306 general physics Quantum information science Relational quantum mechanics Mathematics |
| Zdroj: | Springer Proceedings in Physics ISBN: 9783319313542 |
| Popis: | In this work we present a dynamical approach to quantum logics. By changing the standard formalism of quantum mechanics to allow non-Hermitian operators as generators of time evolution, we address the question of how can logics evolve in time. In this way, we describe formally how a non-Boolean algebra may become a Boolean one under certain conditions. We present some simple models which illustrate this transition and develop a new quantum logical formalism based in complex spectral resolutions, a notion that we introduce in order to cope with the temporal aspect of the logical structure of quantum theory. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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