On the Lattice Structure of Probability Spaces in Quantum Mechanics
Let C be the set of all possible quantum states. We study the convex subsets of C with attention focused on the lattice theoretical structure of these convex subsets and, as a result, find a framework capable of unifying several aspects of quantum mechanics, including entanglement and Jaynes’ Max-En...
| Autores principales: | , , , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
2012
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/129639 |
| Aporte de: |
| id |
I19-R120-10915-129639 |
|---|---|
| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Física entanglement-quantum information convex sets MaxEnt approach |
| spellingShingle |
Física entanglement-quantum information convex sets MaxEnt approach Holik, Federico Hernán Massri, César Zuberman, Leandro Plastino, Ángel Luis On the Lattice Structure of Probability Spaces in Quantum Mechanics |
| topic_facet |
Física entanglement-quantum information convex sets MaxEnt approach |
| description |
Let C be the set of all possible quantum states. We study the convex subsets of C with attention focused on the lattice theoretical structure of these convex subsets and, as a result, find a framework capable of unifying several aspects of quantum mechanics, including entanglement and Jaynes’ Max-Ent principle. We also encounter links with entanglement witnesses, which leads to a new separability criteria expressed in lattice language. We also provide an extension of a separability criteria based on convex polytopes to the infinite dimensional case and show that it reveals interesting facets concerning the geometrical structure of the convex subsets. It is seen that the above mentioned framework is also capable of generalization to any statistical theory via the so-called convex operational models’ approach. In particular, we show how to extend the geometrical structure underlying entanglement to any statistical model, an extension which may be useful for studying correlations in different generalizations of quantum mechanics. |
| format |
Articulo Preprint |
| author |
Holik, Federico Hernán Massri, César Zuberman, Leandro Plastino, Ángel Luis |
| author_facet |
Holik, Federico Hernán Massri, César Zuberman, Leandro Plastino, Ángel Luis |
| author_sort |
Holik, Federico Hernán |
| title |
On the Lattice Structure of Probability Spaces in Quantum Mechanics |
| title_short |
On the Lattice Structure of Probability Spaces in Quantum Mechanics |
| title_full |
On the Lattice Structure of Probability Spaces in Quantum Mechanics |
| title_fullStr |
On the Lattice Structure of Probability Spaces in Quantum Mechanics |
| title_full_unstemmed |
On the Lattice Structure of Probability Spaces in Quantum Mechanics |
| title_sort |
on the lattice structure of probability spaces in quantum mechanics |
| publishDate |
2012 |
| url |
http://sedici.unlp.edu.ar/handle/10915/129639 |
| work_keys_str_mv |
AT holikfedericohernan onthelatticestructureofprobabilityspacesinquantummechanics AT massricesar onthelatticestructureofprobabilityspacesinquantummechanics AT zubermanleandro onthelatticestructureofprobabilityspacesinquantummechanics AT plastinoangelluis onthelatticestructureofprobabilityspacesinquantummechanics |
| bdutipo_str |
Repositorios |
| _version_ |
1764820454655131649 |