Generalizations of Pauli channels

H. Ohno, D. Petz

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The Pauli channel acting on 2 × 2 matrices is generalized to an n-level quantum system. When the full matrix algebra Mn is decomposed into pairwise complementary subalgebras, then trace-preserving linear mappings Mn → Mn are constructed such that the restriction to the subalgebras are depolarizing channels. The result is the necessary and sufficient condition of complete positivity. The main examples appear on bipartite systems.

Original languageEnglish
Pages (from-to)165-177
Number of pages13
JournalActa Mathematica Hungarica
Volume124
Issue number2
DOIs
Publication statusPublished - Apr 21 2009

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Keywords

  • Channel
  • Complementary subalgebra
  • Completely positive mapping
  • Conditional expectation

ASJC Scopus subject areas

  • Mathematics(all)

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