KMS Of Academy of mathematics and systems sciences, CAS
| The uncertainty of quantum channels in terms of variance | |
Sun, Yuan1; Li, Nan2,3
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| 2021-01-11 | |
| Source Publication | QUANTUM INFORMATION PROCESSING
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| ISSN | 1570-0755 |
| Volume | 20Issue:1Pages:15 |
| Abstract | By use of the generalized variance for any operator (not necessarily Hermitian), we introduce the uncertainty of quantum channels as the sum of the generalized variances for the Kraus operators of quantum channels and prove that it satisfies several desirable properties. Then, we establish two trade-off relations between the uncertainty of quantum channels and the entanglement fidelity which is introduced by Schumacher (Phys. Rev. A 54: 2614, 1996) and quantifies how well the channel preserves the entanglement between the input system and the auxiliary system for purification. Finally, we illustrate the uncertainty of quantum channels through some typical examples. |
| Keyword | Quantum channels Uncertainty Variance Entanglement fidelity |
| DOI | 10.1007/s11128-020-02972-3 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | Youth Innovation Promotion Association of CAS[2020002] ; National Natural Science Foundation of China[11775298] ; National Natural Science Foundation of China[61833010] ; National Natural Science Foundation of China[12005104] ; National Center for Mathematics and Interdisciplinary Sciences, CAS[Y029152K51] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182] |
| WOS Research Area | Physics |
| WOS Subject | Quantum Science & Technology ; Physics, Multidisciplinary ; Physics, Mathematical |
| WOS ID | WOS:000610572400003 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58032 |
| Collection | 应用数学研究所 |
| Corresponding Author | Sun, Yuan |
| Affiliation | 1.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Sun, Yuan,Li, Nan. The uncertainty of quantum channels in terms of variance[J]. QUANTUM INFORMATION PROCESSING,2021,20(1):15. |
| APA | Sun, Yuan,&Li, Nan.(2021).The uncertainty of quantum channels in terms of variance.QUANTUM INFORMATION PROCESSING,20(1),15. |
| MLA | Sun, Yuan,et al."The uncertainty of quantum channels in terms of variance".QUANTUM INFORMATION PROCESSING 20.1(2021):15. |
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