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

王成红 ¹王昆 ¹郑驻军²

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作者信息

1. College of Mathematics and Statistics,Zhoukou Normal University,Zhoukou 466001,China
2. School of Mathematics,South China University of Technology,Guangzhou 510641,China
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Abstract

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.

Key words

mutually unbiased bases/Hilbert space/Pauli matrix/quantum measurement

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基金项目

Zhoukou Normal University,China,High Level Talents Research Start Funding Project(ZKNUC2022010)

Key Scientific Research Project of Henan Province(22B110022)

Key Research and Development Project of Guangdong Province(2020B0303300001)

Guangdong Basic and Applied Basic Research Foundation(2020B1515310016)

出版年

2024

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

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