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Linear assignment maps for correlated system-environment states

Source: Phys. Rev. A 81, 012313 (2010); doi:10.1103/PhysRevA.81.012313

Published 20 January 2010

PACS
  • 03.65.Ud
    Entanglement and quantum nonlocality
  • YEAR: 2010
PUBLICATION DATA
Publisher:
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César A. Rodríguez-Rosario,1 Kavan Modi,2 and Alán Aspuru-Guzik1
1Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts, USA
2Centre for Quantum Technologies, National University of Singapore, Singapore
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
History: Received 10 November 2009; published 20 January 2010
Permalink: http://link.aps.org/abstract/PRA/v81/e012313
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