Linear Assignment Maps for Correlated System-Environment States

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Linear Assignment Maps for Correlated System-Environment States

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Title: Linear Assignment Maps for Correlated System-Environment States
Author: Modi, Kavan; Rodriguez-Rosario, Cesar; Aspuru-Guzik, Alan

Note: Order does not necessarily reflect citation order of authors.

Citation: Rodríguez-Rosario, César A., Kavan Modi, and Alán Aspuru-Guzik. 2010. Linear assignment maps for correlated system-environment states. Physical Review A 81(1): 012313.
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Abstract: 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.
Published Version: doi: 10.1103/PhysRevA.81.012313
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at
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  • FAS Scholarly Articles [8237]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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