Open Access
Research Article
Lyapunov Exponents for Quantum Channels: An Entropy Formula and Generic Properties
*Jader E. BrasilCorresponding authorjaderebrasil@gmail.comDepartment of MathematicsUFRGSAv. Bento Goncalves, Porto Alegre, 90650-001, BrazilView full profile → , Josué Knorstarturoscar.lopes@gmail.comDepartment of MathematicsUFRGSAv. Bento Goncalves, Porto Alegre, 90650-001, BrazilView full profile → , Artur O. Lopesjojoknorst@gmail.comDepartment of MathematicsUFRGSAv. Bento Goncalves, Porto Alegre, 90650-001, BrazilView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 26 Mar 2021
- Accepted:
- 16 Aug 2021
- Published Online:
- 04 Jan 2022
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- 1726037X.2021.2014635
- Pages:
- 155–187
Abstract
We denote by M the set of k by k matrices with complex entries. We consider quantum channels φ of the form: given a measurable function L: M → M and a measure µ on M we define the linear operator φ : M → M, by the law ρ → φ(ρ) = ∫ M(v)ρL(v)†dµ(v).
Keywords
Subject Classifications
54H2037D35
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