A Family of Indecomposable Positive Linear Maps based on Entangled Quantum States
Abstract
Description
We introduce a new family of indecomposable positive linear maps based on entangled quantum states. Central to our construction is the notion of an unextendible product basis. The construction lets us create indecomposable positive linear maps in matrix algebras of arbitrary high dimension.
16 pages LaTex: updated and a derivation of a lower bound on epsilon is added and calculated for one of the examples. Submitted to Lin. Alg. and Its Appl
16 pages LaTex: updated and a derivation of a lower bound on epsilon is added and calculated for one of the examples. Submitted to Lin. Alg. and Its Appl