Phys. Rev. A 81, 012313 (2010) [5 pages]Linear assignment maps for correlated system-environment statesReceived 10 November 2009; published 20 January 2010 Assignment maps are mathematical operators that describe initial system-environment states for open quantum systems. We re-examine the notion of assignments that account for correlations between the system and the environment and show that these maps can be made linear at the expense of giving up positivity or consistency of the map. We study the role of positivity and consistency of the map and show the effects of relaxing these. Finally, we establish a connection between the violation of the positivity of linear assignments and the no-broadcasting theorem. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.81.012313
DOI:
10.1103/PhysRevA.81.012313
PACS:
03.65.Ud
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