Universal Randomization of Quantum Observables
| Autor: | Roberto Beneduci |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Markov kernel
Physics and Astronomy (miscellaneous) Markov chain 010308 nuclear & particles physics General Mathematics Observable Characterization (mathematics) Space (mathematics) 01 natural sciences 0103 physical sciences Statistical physics 010306 general physics Commutative property Quantum Mathematics |
| Zdroj: | International Journal of Theoretical Physics. 60:558-566 |
| ISSN: | 1572-9575 0020-7748 |
| DOI: | 10.1007/s10773-019-04090-y |
| Popis: | Commutative POVMs are smearing of spectral measures with the smearing realized by a Markov kernel. In the case of POVMs defined on the Borel σ-algebra of the reals, the existence of a universal Markov kernel has been established. Here we show that every weak Markov kernel is functionally subordinated to the universal Markov kernel. Then, we analyze the implications of that result to the characterization of a Markov kernel as a Choquet’s integral on the space of deterministic Markov kernels. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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