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arXiv · 0812.2668

Generalizations of Pauli channels

Denes Petz·Hiromichi Ohno
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Abstract

The Pauli channel acting on 2 x 2 matrices is generalized to an n-level quantum system. When the full matrix algebra M is decomposed into pairwise complementary subalgebras, then trace-preserving linear mappings from M to M 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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Denes Petz, Hiromichi Ohno. 2008-12-14. Generalizations of Pauli channels. https://arxiv.org/abs/0812.2668

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