A _superoperator_ is a [Linear map](Linear%20map.md) that maps a [Linear operator](Linear%20operator.md) to another linear operator. Thus it is a also a linear map between [spaces of linear operators.](Spaces%20of%20linear%20operators)
%%This topic is highly motivated by quantum information - see preskill's notes page 93 for the most basic definition that I use here.%%
%%Does this concept only exist in quantum information or is there some more general notion?%%
_The definition as stated here is a concept exclusively used in quantum information science since it applies exclusively to quantum density operators, however this mathematical formulation may find applications or close analogs in other fields._
#MathematicalFoundations/Algebra/AbstractAlgebra/LinearAlgebra
#MathematicalFoundations/Algebra/AbstractAlgebra/LinearAlgebra/VectorSpaces
#MathematicalFoundations/Algebra/AbstractAlgebra/LinearAlgebra/Operators
#QuantumMechanics/MathematicalFoundations