Abstract
The Pauli channel acting on 2 × 2 matrices is generalized to an n-level quantum system. When the full matrix algebra M n is decomposed into pairwise complementary subalgebras, then trace-preserving linear mappings M n → M n 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.
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