Zero entries distribution in a unitary matrix

Shaomin Liu; Changchun Feng; Lin Chen

doi:10.1007/s11128-023-03913-6

Zero entries distribution in a unitary matrix

Shaomin Liu
, Changchun Feng^*
, Lin Chen^*

^*此作品的通讯作者

数学科学学院

Anhui Polytechnic University
Beihang University

科研成果: 期刊稿件 › 文献综述 › 同行评审

摘要

We present a principle to determine whether a matrix is unitary. Through this principle, we can exclude some zero entries distribution in unitary matrices. As a result, we can construct higher order unitary matrices with a given zero entries distribution. We apply our results to construct CP-equivalent gates.

源语言	英语
文章编号	169
期刊	Quantum Information Processing
卷	22
期	4
DOI	https://doi.org/10.1007/s11128-023-03913-6
出版状态	已出版 - 4月 2023

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title = "Zero entries distribution in a unitary matrix",

abstract = "We present a principle to determine whether a matrix is unitary. Through this principle, we can exclude some zero entries distribution in unitary matrices. As a result, we can construct higher order unitary matrices with a given zero entries distribution. We apply our results to construct CP-equivalent gates.",

keywords = "Matrix, POVM, Quantum information, Qubit, Zero entries distribution",

author = "Shaomin Liu and Changchun Feng and Lin Chen",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2023",

month = apr,

doi = "10.1007/s11128-023-03913-6",

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AU - Feng, Changchun

AU - Chen, Lin

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AB - We present a principle to determine whether a matrix is unitary. Through this principle, we can exclude some zero entries distribution in unitary matrices. As a result, we can construct higher order unitary matrices with a given zero entries distribution. We apply our results to construct CP-equivalent gates.

KW - Matrix

KW - POVM

KW - Quantum information

KW - Qubit

KW - Zero entries distribution

UR - https://www.scopus.com/pages/publications/85153111511

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DO - 10.1007/s11128-023-03913-6

M3 - 文献综述

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SN - 1570-0755

VL - 22

JO - Quantum Information Processing

JF - Quantum Information Processing

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Zero entries distribution in a unitary matrix

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