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

Barbara M. Terhal

Published 1998-10-29, updated 2000-05-03Version 3

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.

Comments: 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
Journal: Linear Algebra Appl. 323 (2000) 61-73
Categories: quant-ph, math.FA
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