Dynamics of initially entangled open quantum systems

Jordan, Thomas F. ; Shaji, Anil ; Sudarshan, E. C. G. (2004) Dynamics of initially entangled open quantum systems Physical Review A, 70 (5). 052110_1-052110_14. ISSN 1050-2947

PDF - Publisher Version

Official URL: http://pra.aps.org/abstract/PRA/v70/i5/e052110

Related URL: http://dx.doi.org/10.1103/PhysRevA.70.052110


Linear maps of matrices describing the evolution of density matrices for a quantum system initially entangled with another are identified and found to be not always completely positive. They can even map a positive matrix to a matrix that is not positive, unless we restrict the domain on which the map acts. Nevertheless, their form is similar to that of completely positive maps. Only some minus signs are inserted in the operator-sum representation. Each map is the difference of two completely positive maps. The maps are first obtained as maps of mean values and then as maps of basis matrices. These forms also prove to be useful. An example for two entangled qubits is worked out in detail. The relation to earlier work is discussed.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:51122
Deposited On:27 Jul 2011 13:03
Last Modified:18 May 2016 05:11

Repository Staff Only: item control page