A Family of Indecomposable Positive Linear Maps based on Entangled Quantum States

Details A Family of Indecomposable Positive Linear Maps based on Entangled Quantum States A Family of Indecomposable Positive Linear Maps based on Entangled Quantum States

1998-10-29

arxiv.org/abs/quant-ph/9810091v3

Linear Algebra Appl. 323 (2000) 61-73

Physics

Quantum Physics

16 pages LaTex: updated and a derivation of a lower bound on epsilon is added and calculated for one of the examples. Submitte

Scientific paper

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.

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