Generalizations of Pauli channels

Generalizations of Pauli channels
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DOI:
10.1007/s10474-009-8171-5
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发表时间:
2008-12
影响因子:
0.9
通讯作者:
H. Ohno;D. Petz
H. Ohno;D. Petz
中科院分区:
数学3区
文献类型:
--
作者:
H. Ohno;D. Petz

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将作用于2×2矩阵的泡利通道推广到n能级量子系统。当全矩阵代数Mn分解成两两互补的子代数时,构造了保迹线性映射Mn→Mn,使得对这些子代数的限制是去极化的通道。其结果是完全正性的充要条件。主要的例子出现在二部系统上。
The Pauli channel acting on 2 × 2 matrices is generalized to ann-level quantum system. When the full matrix algebraMnis decomposed into pairwise complementary subalgebras, then trace-preserving linear mappingsMn→Mnare 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.