2004/11/04 by Wladyslaw A. Majewski, Majewski, Wladyslaw A., Marcin Marciniak +1
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Operator Algebras (math.OA) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #math.OA #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0411035
9 pages
arxiv created 2004/11/04 · openalex publication_date 2004/11/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The problem of classification of decomposable (in the sense of Stormer) positive maps between matrix algebras is presented. We propose the new notion of "finite" version of decomposability (k-decomposabilty). The characterisation of k-decomposability on the Hilbert space level is done. In the case of low dimensional algebras the notion of local decomposability and its applications for the description of decomposable maps are discussed.