A family of indecomposable positive linear maps based on entangled quantum states

Barbara M. Terhal*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

115 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)61-73
Number of pages13
JournalLinear Algebra and Its Applications
Volume323
Issue number1-3
DOIs
Publication statusPublished - 2001
Externally publishedYes

Keywords

  • Positive linear maps
  • Quantum entanglement
  • Quantum information theory

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