Complete positivity and self-adjointness

2020/09/12 by Érik Amorim, Eric A. Carlen, Amorim, Érik +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Computer science #Economics #Markov chain #Mathematics #Order (exchange) #Pure mathematics #Quantum Information and Cryptography #Random Matrices and Applications #Semigroup #Spectral Theory in Mathematical Physics #Statistics #math.FA #msc:47C15 #msc:81S22 #quant-ph

paper · pdf · doi:10.1016/j.laa.2020.10.038

published in Linear Algebra and its Applications 611, 389-439 (Elsevier BV)

arxiv created 2020/09/12 · arxiv updated 2020/09/15 · openalex publication_date 2020/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

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 strucure an extreme points in some previously studied cases.

Citations

• Completely positive dynamical semigroups of N-level systems
• Completely positive linear maps on complex matrices
• Subalgebras of C*-algebras

Cited by

• Boundary-driven quantum systems near the Zeno limit: steady states and long-time behavior

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