Man'ko, V. I. ; Marmo, G. ; Sudarshan, E. C. G. ; Zaccaria, F. (2004) Positive maps of density matrix and a tomographic criterion of entanglement Physics Letters A, 327 (5-6). pp. 353-364. ISSN 0375-9601
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.physleta.2004.05.007
Abstract
The positive and not completely positive maps of density matrices are discussed. Probability representation of spin states (spin tomography) is reviewed and U(N)-tomogram of spin states is presented. Unitary U(∞)-group tomogram of photon state in Fock basis is constructed. Notion of tomographic purity of spin states is introduced. An entanglement criterion for multipartite spin-system is given in terms of a function depending on unitary group parameters and semigroup of positive map parameters. Some two-qubit and two-qutrit states are considered as examples of entangled states using depolarizing map semigroup.
Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |
Keywords: | Unitary Group; Entanglement; Tomogram; Positive Map; Probability |
ID Code: | 51014 |
Deposited On: | 27 Jul 2011 13:02 |
Last Modified: | 27 Jul 2011 13:02 |
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