Dilation, discrimination and Uhlmann's theorem of link products of quantum channels

doi:10.1088/1674-1056/ad0ccb

中国物理B ›› 2024, Vol. 33 ›› Issue (3): 30304-030304.doi: 10.1088/1674-1056/ad0ccb

Dilation, discrimination and Uhlmann's theorem of link products of quantum channels

Qiang Lei(雷强)¹, Liuheng Cao(操刘桁)¹, Asutosh Kumar^2,‡, and Junde Wu(武俊德)^3,†

1 School of Mathematical Sciences, Harbin Institute of Technology, Harbin 150001, China;
2 Department of Physics, Gaya College, Magadh University, Rampur, Gaya 823001, India;
3 School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China

收稿日期:2023-09-22 修回日期:2023-11-10 接受日期:2023-11-16 出版日期:2024-02-22 发布日期:2024-02-29
通讯作者: Junde Wu, Asutosh Kumar E-mail:wjd@zju.edu.cn;asutoshk.phys@gmail.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61877054, 12031004, and 12271474).

Dilation, discrimination and Uhlmann's theorem of link products of quantum channels

Qiang Lei(雷强)¹, Liuheng Cao(操刘桁)¹, Asutosh Kumar^2,‡, and Junde Wu(武俊德)^3,†

1 School of Mathematical Sciences, Harbin Institute of Technology, Harbin 150001, China;
2 Department of Physics, Gaya College, Magadh University, Rampur, Gaya 823001, India;
3 School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China

Received:2023-09-22 Revised:2023-11-10 Accepted:2023-11-16 Online:2024-02-22 Published:2024-02-29
Contact: Junde Wu, Asutosh Kumar E-mail:wjd@zju.edu.cn;asutoshk.phys@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61877054, 12031004, and 12271474).

摘要/Abstract

摘要： We establish the Stinespring dilation theorem of the link product of quantum channels in two different ways, discuss the discrimination of quantum channels, and show that the distinguishability can be improved by self-linking each quantum channel n times as n grows. We also find that the maximum value of Uhlmann's theorem can be achieved for diagonal channels.

关键词: quantum channels, link products, Stinespring dilation theorem, Uhlmann's theorem

Abstract: We establish the Stinespring dilation theorem of the link product of quantum channels in two different ways, discuss the discrimination of quantum channels, and show that the distinguishability can be improved by self-linking each quantum channel n times as n grows. We also find that the maximum value of Uhlmann's theorem can be achieved for diagonal channels.

Key words: quantum channels, link products, Stinespring dilation theorem, Uhlmann's theorem

中图分类号: (Functional analytical methods)

03.65.Db

03.67.-a (Quantum information) 03.67.Hk (Quantum communication) 03.65.Ta (Foundations of quantum mechanics; measurement theory)

Qiang Lei(雷强), Liuheng Cao(操刘桁), Asutosh Kumar, and Junde Wu(武俊德). Dilation, discrimination and Uhlmann's theorem of link products of quantum channels[J]. 中国物理B, 2024, 33(3): 30304-030304.

Qiang Lei(雷强), Liuheng Cao(操刘桁), Asutosh Kumar, and Junde Wu(武俊德). Dilation, discrimination and Uhlmann's theorem of link products of quantum channels[J]. Chin. Phys. B, 2024, 33(3): 30304-030304.

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Dilation, discrimination and Uhlmann's theorem of link products of quantum channels

Dilation, discrimination and Uhlmann's theorem of link products of quantum channels

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