Journal
PHYSICAL REVIEW A
Volume 81, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.81.012313
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Funding
- National Research Foundation
- Ministry of Education of Singapore
- Centre for Quantum Technologies at the National University of Singapore
- US Department of Energy, Office of Science, Office of Basic Energy Sciences [DE-SC0001088]
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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.
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