State Determination and Sufficiency of Observables
| dc.contributor.author | Lubnauer, Katarzyna | |
| dc.contributor.author | Podsędkowska, Hanna | |
| dc.date.accessioned | 2015-04-11T13:49:07Z | |
| dc.date.available | 2015-04-11T13:49:07Z | |
| dc.date.issued | 2013-05-19 | |
| dc.identifier.issn | 1572-9575 | |
| dc.identifier.uri | http://hdl.handle.net/11089/7867 | |
| dc.description.abstract | Informational completeness and the possibility of state distinction and determination are among the more important issues of quantum statistics. We use spectral and semispectral (POV) measures to analyse these questions. For a given W ∗-algebra and a family of normal states on it we investigate the relation between sufficiency in Petz’s sense of a W ∗-subalgebra generated by a spectral measure, and the possibility of determination of these states by means of an observable | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Springer | pl_PL |
| dc.relation.ispartofseries | International Journal of Theoretical Physics;Volume 53, Issue 10 | |
| dc.rights | Uznanie autorstwa 3.0 Polska | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
| dc.title | State Determination and Sufficiency of Observables | pl_PL |
| dc.type | Article | pl_PL |
| dc.page.number | 3262-3272 | pl_PL |
| dc.contributor.authorAffiliation | University of Lodz, Faculty of Mathematics and Computer Sciences | pl_PL |
| dc.references | Bush, P., Lahti, P. (1989) The determination of the past and the future of a physical system in quantum mechanics. Found. Phys. 19: pp. 633-678 | pl_PL |
| dc.references | Heinonen, T. (2005) Optimal measurements in quantum mechanics. Phys. Lett. A 346: pp. 77-86 | pl_PL |
| dc.references | Holevo, A.S. (1982) Probabilistic and Statistical Aspects of Quantum Theory. North-Holland, Amsterdam | pl_PL |
| dc.references | Jenčová, A., Petz, D. (2006) Sufficiency in quantum statistical inference. Commun. Math. Phys. 263: pp. 259-276 | pl_PL |
| dc.references | Kadison, R.V., Ringrose, J.R. (1983) Fundamentals of the Theory of Operator Algebras. Academic Press, New York | pl_PL |
| dc.references | Kadison, R.V., Ringrose, J.R. (1986) Fundamentals of the Theory of Operator Algebras. Academic Press, New York | pl_PL |
| dc.references | Lubnauer, K., Łuczak, A., Podsȩdkowska, H. (2007) Weak sufficiency of quantum statistics. Rep. Math. Phys. 60: pp. 367-380 | pl_PL |
| dc.references | Lubnauer, K., Łuczak, A., Podsȩdkowska, H. (2011) Weakly sufficient quantum statistics. Math. Slovaca 61: pp. 959-978 | pl_PL |
| dc.references | Petz, D. (1986) Sufficient subalgebras and the relative entropy of states of a von Neumann algebra. Commun. Math. Phys. 105: pp. 123-131 | pl_PL |
| dc.references | Petz, D. (1988) Sufficiency of channels over von Neumann algebras. Q. J. Math. 39: pp. 907-1008 | pl_PL |
| dc.references | Umegaki, H. (1959) Conditional expectation in an operator algebra, III. Kodai Math. Semin. Rep. 11: pp. 51 | pl_PL |
| dc.references | Umegaki, H. (1962) Conditional expectation in an operator algebra. IV. Entropy and information). Kodai Math. Semin. Rep. 14: pp. 59 | pl_PL |
| dc.references | Takesaki, M. (1979) Theory of Operator Algebras I. Springer, New York | pl_PL |
| dc.contributor.authorEmail | lubnauer@math.uni.lodz.pl, hpodsedk@math.uni.lodz.pl | pl_PL |
Pliki tej pozycji
Pozycja umieszczona jest w następujących kolekcjach
Poza zaznaczonymi wyjątkami, licencja tej pozycji opisana jest jako Uznanie autorstwa 3.0 Polska