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

摘要

PPROBLEM TO BE SOLVED: To decompose an arbitrary unitary matrix into a small-sized matrix at low calculation cost. PSOLUTION: A matrix X which satisfies G=KM and X=MSP2/SPis generated to a unitary matrix G. A matrix P which block-diagonalizes the matrix X is generated, and a complex conjugate transposed matrix PSP*/SPof the matrix P is generated. A block diagonal matrix B is generated by the calculation of B=PSP*/SPXP from the matrix X, the matrix P and the complex conjugate transposed matrix PSP*/SP, and the block diagonal matrix B is converted to a block diagonal matrix Y of a matrix M (=PSP*/SPMP). Then the matrix M is generated by the calculation of M=PYPSP*/SPfrom the block diagonal matrix Y, the matrix P, and the complex conjugate transposed matrix PSP*/SP, and a complex conjugate transposed matrix MSP*/SPof the matrix M is generated. A matrix K is generated by the calculation of K=GMSP*/SPfrom the matrix G and the complex conjugate transposed matrix MSP*/SP. PCOPYRIGHT: (C)2006,JPO&NCIPI