Dilation of a class of quantum dynamical semigroups with unbounded generator on UHF algebras

2003/10/29 by Debashish Goswami, Goswami, Debashish, Lingaraj Sahu +3
Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #math-ph #math.MP #math.OA

paper · pdf · doi:10.48550/arxiv.math/0310452

arxiv created 2003/10/29 · openalex publication_date 2003/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Evans-Hudson flows are constructed for a class of quantum dynamical semigroups with unbounded generator on UHF algebras, which appeared in \citeMa. It is shown that these flows are unital and covariant. Ergodicity of the flows for the semigroups associated with partial states is also discussed.

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