基于仿射映射的纠缠检验

数学物理学报 ›› 2024, Vol. 44 ›› Issue (5): 1136-1143.

基于仿射映射的纠缠检验

韩琦^*(),苟立洁,王帅,白宁,王欢,韩娅楠

西北师范大学数学与统计学院兰州 730070

收稿日期:2022-12-26 修回日期:2024-01-19 出版日期:2024-10-26 发布日期:2024-10-16
通讯作者: *韩琦, E-mail: hanqi1978@nwnu.edu.cn
基金资助:
国家自然科学基金(62261049);国家自然科学基金(12261080);甘肃省自然科学基金(20JR10RA085);甘肃省教育厅高等教育创新基金(2022A-017)

Entanglement Testing Based on Affine Mapping

Han Qi^*(),Gou Lijie,Wang Shuai,Bai Ning,Wang Huan,Han Yanan

School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070

Received:2022-12-26 Revised:2024-01-19 Online:2024-10-26 Published:2024-10-16
Supported by:
National Natural Science Foundation of China(62261049);National Natural Science Foundation of China(12261080);Natural Science Foundation of Gansu province(20JR10RA085);Higher Education Innovation Fund of Gansu Provincial Department of Education(2022A-017)

摘要/Abstract

摘要：

基于仿射映射提出了一种测试量子纠缠的新方法. 该文首先证明了二维希尔伯特空间中两个特殊仿射映射的完全正性, 然后基于完全正仿射映射给出了纠缠检验, 最后通过实例说明了检验的性能.

关键词: 仿射映射, 纠缠检验, 纠缠态, Hadamard 门

Abstract:

In this paper, we present a new method to test quantum entanglement based on affine mapping. First, we prove the complete positivity of two special affine mappings in two-dimensional Hilbert space. Then, based on this completely positive affine mapping, we give our entanglement test. At last, we illustrate the capability of our test with two examples.

Key words: Affine mapping, Entanglement test, Entangled state, Hadamard gate

中图分类号:

O211.9

韩琦, 苟立洁, 王帅, 白宁, 王欢, 韩娅楠. 基于仿射映射的纠缠检验[J]. 数学物理学报, 2024, 44(5): 1136-1143.

Han Qi, Gou Lijie, Wang Shuai, Bai Ning, Wang Huan, Han Yanan. Entanglement Testing Based on Affine Mapping[J]. Acta mathematica scientia,Series A, 2024, 44(5): 1136-1143.

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