Complete positivity and self-adjointness

Érik Amorim, Eric A. Carlen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We specify the structure of completely positive operators and quantum Markov semigroup generators that are symmetric with respect to a family of inner products, also providing new information on the order structure and extreme points in some previously studied cases.

Original languageEnglish (US)
Pages (from-to)389-439
Number of pages51
JournalLinear Algebra and Its Applications
StatePublished - Feb 15 2021

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


  • Complete positivity
  • Detailed balance
  • Quantum Markov semigroup


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