Generalizations of Pauli channels

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Generalizations of Pauli channels

The Pauli channel acting on 2 2 matrices is generalized to an n-level quantum system. When the full matrix algebraMn is decomposed into pairwise complementary subalgebras, then trace-preserving linear mappingsMn !Mn are constructed such that the restriction to the subalgebras are depolarizing channels. The result is the necessary and su cient condition of complete positivity. The main examples ...

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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 exam...

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ژورنال

عنوان ژورنال: Acta Mathematica Hungarica

سال: 2009

ISSN: 0236-5294,1588-2632

DOI: 10.1007/s10474-009-8171-5