Complementary reductions for two qubits
Complementary reductions for two qubits
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两个量子位的互补约简
DOI：
10.1063/1.2424883
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发表时间：
2006
影响因子：
1.3
通讯作者：
J. Kahn
中科院分区：
文献类型：
--
作者：
D. Petz;J. Kahn
将量子系统的状态简化为子系统给出了有关整个系统真实状态的部分量子信息。关于两个量子位的最佳状态确定，提出了关于成对互补还原的最大数量的问题。论文的主要结果告诉我们最大数量是4，即如果A1,A2,…,Ak是所有4×4矩阵的代数M4(C)的成对互补（或拟正交）子代数，并且它们与M2(C)同构，则k⩽4。该证明基于 SU(4) 的嘉当分解。在获得主要结果的过程中，对理解补充减少的结构做出了贡献。
Reduction of a state of a quantum system to a subsystem gives partial quantum information about the true state of the total system. In connection with optimal state determination for two qubits, the question was raised about the maximum number of pairwise complementary reductions. The main result of the paper tells that the maximum number is 4, that is, if A1,A2,…,Ak are pairwise complementary (or quasiorthogonal) subalgebras of the algebra M4(C) of all 4×4 matrices and they are isomorphic to M2(C), then k⩽4. The proof is based on a Cartan decomposition of SU(4). In the way to the main result, contributions are made to the understanding of the structure of complementary reductions.
影响因子：
2.9
作者：
G. Kimura;Hajime Tanaka;M. Ozawa
通讯作者：
G. Kimura;Hajime Tanaka;M. Ozawa