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Generalizations of Pauli channels

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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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Authors and Affiliations

  1. Graduate School of Mathematics, Kyushu University, Kyushu, Japan

    H. Ohno

  2. Alfréd Rényi Institute of Mathematics, H-1364, Budapest, P.O.B. 127, Hungary

    D. Petz

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  1. H. Ohno
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  2. D. Petz
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Correspondence to D. Petz.

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Ohno, H., Petz, D. Generalizations of Pauli channels. Acta Math Hung 124, 165–177 (2009). https://doi.org/10.1007/s10474-009-8171-5

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  • DOI: https://doi.org/10.1007/s10474-009-8171-5

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