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

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外文摘要：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 C15.

外文关键词：

mutually unbiased basesHilbert spacePauli matrixquantum measurement

作者：

王成红、王昆、郑驻军

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作者单位：

College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China

School of Mathematics,South China University of Technology,Guangzhou 510641,China

基金：

Zhoukou Normal University,China,High Level Talents Research Start Funding ProjectKey Scientific Research Project of Henan ProvinceKey Research and Development Project of Guangdong ProvinceGuangdong Basic and Applied Basic Research Foundation

项目编号：

ZKNUC202201022B1100222020B03033000012020B1515310016

出版年：

2024

DOI：

10.1088/1674-1056/ad47ae

中国物理B(英文版)

中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI

影响因子：0.995

ISSN：1674-1056

年,卷(期)：2024.33(8)