New construction of mutually unbiased bases for odd-dimensional state space  

作　　者：王成红 王昆 郑驻军 Chenghong Wang;Kun Wang;Zhu-Jun Zheng(College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China;School of Mathematics,South China University of Technology,Guangzhou 510641,China)

机构地区：[1]College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China [2]School of Mathematics,South China University of Technology,Guangzhou 510641,China

出　　处：《Chinese Physics B》2024年第8期180-184,共5页中国物理B（英文版）

基　　金：Project supported by Zhoukou Normal University,China;High Level Talents Research Start Funding Project (Grant No.ZKNUC2022010);Key Scientific Research Project of Henan Province (Grant No.22B110022);Key Research and Development Project of Guangdong Province (Grant No.2020B0303300001);the Guangdong Basic and Applied Basic Research Foundation (Grant No.2020B1515310016)。

摘　　要：We study the construction of mutually unbiased bases in Hilbert space for composite dimensions d which are not prime powers.We explore the results for composite dimensions which are true for prime power dimensions.We then provide a method for selecting mutually unbiased vectors from the eigenvectors of generalized Pauli matrices to construct mutually unbiased bases.In particular,we present four mutually unbiased bases in C^(15).

关 键 词：mutually unbiased bases Hilbert space Pauli matrix quantum measurement 

分 类 号：O413[理学—理论物理]