On Universality of Quantum Fourier Transform

作     者：Arpita Maitra Santanu Sarkar 

作者机构：Applied Statistics UnitIndian Statistical Institute203 B T RoadKolkata 700108India 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2012年第29卷第3期

页      面：17-20页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：ensemble admissible dimensions 

摘      要：A methodology is presented to obtain the basis of qudits which are admissible to quantum Fourier transform(QFT)in the sense that the set of such kets are related by the QFT in the same way as the kets of the computational *** first study this method for qubits to characterize the ensemble that works for the Hadamard transformation(QFT for two dimension).In this regard we identify certain incompleteness in the result of Maitra and Parashar(*** Inform.4(2006)653).Next we characterize the ensemble of qutrits for which QFT is ***,some theoretical results related to higher dimensions are also *** the unitary matrix Un related to QFT,the issue boils down to the problem of characterizing matrices that commute with Un.