Cloning by positive maps in von Neumann algebras
| dc.contributor.author | Łuczak, Andrzej | |
| dc.date.accessioned | 2015-04-11T13:35:36Z | |
| dc.date.available | 2015-04-11T13:35:36Z | |
| dc.date.issued | 2014-06-19 | |
| dc.identifier.issn | 1572-9281 | |
| dc.identifier.uri | http://hdl.handle.net/11089/7865 | |
| dc.description.abstract | We investigate cloning in the general operator algebra framework in arbitrary dimension assuming only positivity instead of strong positivity of the cloning operation, generalizing thus results obtained so far under that stronger assumption. The weaker positivity assumption turns out quite natural when considering cloning in the general C∗-algebra framework. | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Springer Basel | pl_PL |
| dc.relation.ispartofseries | Positivity; | |
| dc.rights | Uznanie autorstwa 3.0 Polska | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
| dc.title | Cloning by positive maps in von Neumann algebras | pl_PL |
| dc.type | Article | pl_PL |
| dc.page.number | 1-16 | pl_PL |
| dc.contributor.authorAffiliation | Łódź University, Faculty of Mathematics and Computer Science | pl_PL |
| dc.references | Barnum, H., Barrett, J., Leifer, M., Wilce, A.: Cloning and broadcasting in generic probability models. | pl_PL |
| dc.references | Barnum, H., Barrett, J., Leifer, M., Wilce, A.: Generalized no-broadcasting theorem. Phys. Rev. Lett. 99, 240501 (2007) | pl_PL |
| dc.references | Barnum, H., Caves, C.M., Fuchs, C.A., Jozsa, R., Schumacher, B.: Noncommuting mixed states cannot be broadcast Phys. Rev. Lett. 76(15), 2818–2821 (1996) | pl_PL |
| dc.references | Bratteli, O., Robinson, D.W.: Operator Algebras and Quantum Statistical Mechnics I. Springer, Berlin (1987) | pl_PL |
| dc.references | Dieks, D.: Communication by EPR devices. Phys. Lett. A 92(6), 271–272 (1982) | pl_PL |
| dc.references | Kaniowski, K., Lubnauer, K., Łuczak, A.: Cloning and broadcasting in von Neumann algebras. preprint | pl_PL |
| dc.references | Kaniowski, K., Lubnauer, K., Łuczak, A.: Cloning in C∗-algebras. preprint | pl_PL |
| dc.references | Lindblad, G.: A general no-cloning theorem. Lett. Math. Phys. 47, 189–196 (1999) | pl_PL |
| dc.references | Łuczak, A.: Ergodic projection for quantum dynamical semigroups. Int. J. Theor. Phys. 34, 1533–1540 (1995) | pl_PL |
| dc.references | Łuczak, A.: Mixing and asymptotic properties of Markov semigroups on von Neumann algebras. Math. Z. 235, 615–626 (2000) | pl_PL |
| dc.references | Størmer, E.: Positive linear maps of operator algebras. Acta Math. 110, 233–278 (1963) | pl_PL |
| dc.references | Takesaki, M.: Theory of Operator Algebras I. Encyclopaedia of Mathematical Sciences, vol. 124. Springer, Berlin (2001) | pl_PL |
| dc.references | Thomsen, K.E.: Invariant states for positive operator semigroups. Stud. Math. 81, 285–291 (1985) | pl_PL |
| dc.references | Wooters, W.K., Zurek, W.H.: A single quantum state cannot be cloned. Nature 299, 802 (1982) | pl_PL |
| dc.contributor.authorEmail | anluczak@math.uni.lodz.pl | pl_PL |
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