Linear assignment maps for correlated system-environment states

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.012313· OSTI ID:21408149

Rodriguez-Rosario, Cesar A; Aspuru-Guzik, Alan ^[1]; Modi, Kavan ^[2]

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1. Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts (United States)
2. Centre 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.

• OSTI ID: 21408149
• Journal Information: Physical Review. A, Vol. 81, Issue 1; Other Information: DOI: 10.1103/PhysRevA.81.012313; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
CORRELATIONS
MAPPING
MAPS
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS