UNITARY MATRIX DECOMPOSITION DEVICE, UNITARY MATRIX DECOMPOSITION METHOD, UNITARY MATRIX DECOMPOSITION PROGRAM, AND RECORDING MEDIUM

摘要

PROBLEM TO BE SOLVED: To decompose an arbitrary unitary matrix into a small-sized matrix at low calculation cost. SOLUTION: A matrix X which satisfies G=K×M and X=M2is generated to a unitary matrix G. A matrix P which block-diagonalizes the matrix X is generated, and a complex conjugate transposed matrix P*of the matrix P is generated. A block diagonal matrix B is generated by the calculation of B=P*×X×P from the matrix X, the matrix P and the complex conjugate transposed matrix P*, and the block diagonal matrix B is converted to a block diagonal matrix Y of a matrix M (=P*×M×P). Then the matrix M is generated by the calculation of M=P×Y×P*from the block diagonal matrix Y, the matrix P, and the complex conjugate transposed matrix P*, and a complex conjugate transposed matrix M*of the matrix M is generated. A matrix K is generated by the calculation of K=G×M*from the matrix G and the complex conjugate transposed matrix M*. COPYRIGHT: (C)2006,JPO&NCIPI