A QUANTUM ASPECT OF ASYMPTOTIC SPECTRAL ANALYSIS OF LARGE HAMMING GRAPHS
A QUANTUM ASPECT OF ASYMPTOTIC SPECTRAL ANALYSIS OF LARGE HAMMING GRAPHS
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大型汉明图渐近谱分析的量子方面
DOI：
10.1142/9789812810267_0004
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发表时间：
2001
期刊：
影响因子：
0.9
通讯作者：
Nobuyuki Tabei
中科院分区：
文献类型：
--
作者：
Yukihiro Hashimoto;N. Obata;Nobuyuki Tabei
在欧拉唯一性定理的基础上，给出了Hamming图的邻接矩阵的量子分解。作为量子中心极限定理的一个变体，在单模玻色-福克空间上，每个量子分量在大尺度极限收敛到湮灭算符、产生算符和数算符的线性组合.作为一个直接的后果，渐近分布的邻接矩阵的特征值的再现。
A quantum decomposition of the adjacency matrix of a Hamming graph is introduced on the basis of Euler's unicursal theorem. Each of the quantum compoments converges in a large scale limit to a linear combination of the annihilation, creation and number operators on a one-mode Boson Fock space as a variant of quantum central limit theorem. As an immediate consequence, asymptotic distribution of eigenvalues of the adjacency matrix is reproduced.