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Quantum operation
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==Non-completely positive maps== Shaji and [[George Sudarshan|Sudarshan]] argued in a Physical Review Letters paper that, upon close examination, complete positivity is not a requirement for a good representation of open quantum evolution. Their calculations show that, when starting with some fixed initial correlations between the observed system and the environment, the map restricted to the system itself is not necessarily even positive. However, it is not positive only for those states that do not satisfy the assumption about the form of initial correlations. Thus, they show that to get a full understanding of quantum evolution, non completely-positive maps should be considered as well.<ref name="pechukas"/><ref>{{cite journal | last1=Shaji | first1=Anil | last2=Sudarshan | first2=E.C.G. | title=Who's afraid of not completely positive maps? | journal=Physics Letters A | publisher=Elsevier BV | volume=341 | issue=1β4 | year=2005 | issn=0375-9601 | doi=10.1016/j.physleta.2005.04.029 | pages=48β54| bibcode=2005PhLA..341...48S }}</ref><ref name="cuffaro-myrvold">{{cite journal | last1=Cuffaro | first1=Michael E. | last2=Myrvold | first2=Wayne C. | title=On the Debate Concerning the Proper Characterisation of Quantum Dynamical Evolution | journal=Philosophy of Science | publisher=University of Chicago Press | volume=80 | issue=5 | date=2013 | issn=0031-8248 | doi=10.1086/673733 | pages=1125β1136| arxiv=1206.3794 | s2cid=31842197 }}</ref>
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