Complete positivity and self-adjointness

2020/09/12 by Amorim, Érik, Carlen, Eric A. · 1 citation
#47C15 #81S22 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2009.05850

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.

Cited by

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

Related

• The Differential Structure of Generators of GNS-symmetric Quantum Markov Semigroups
• Completely positive dynamical semigroups of <i>N</i>-level systems
• Infinite Dimensional Choi-Jamiolkowski States and Time Reversed Quantum\n Markov Semigroups
• Quantum Markov Semigroups (Product Systems and Subordination)
• KMS Dirichlet forms, coercivity and super-bounded Markovian semigroups on von Neumann algebras