1. 山东工商学院数学与信息科学学院,山东,烟台,264005
2. 洛阳师范学院 数学科学学院,河南,洛阳,471934
3. 山东工商学院数学与信息科学学院,山东,烟台,264005
4. 洛阳师范学院 数学科学学院,河南,洛阳,471934
网络出版:2020-02-25,
纸质出版:2020
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刘锋, 高冬梅, 蔡晓秋. 量子操作区分中叠加资源优势的比较[J]. 电子学报, 2020,48(2):303-307.
LIU Feng, GAO Dong-mei, CAI Xiao-qiu. Comparison of Operational Advantages of Superposition in Operational Discrimination[J]. Acta Electronica Sinica, 2020, 48(2): 303-307.
刘锋, 高冬梅, 蔡晓秋. 量子操作区分中叠加资源优势的比较[J]. 电子学报, 2020,48(2):303-307. DOI: 10.3969/j.issn.0372-2112.2020.02.012.
LIU Feng, GAO Dong-mei, CAI Xiao-qiu. Comparison of Operational Advantages of Superposition in Operational Discrimination[J]. Acta Electronica Sinica, 2020, 48(2): 303-307. DOI: 10.3969/j.issn.0372-2112.2020.02.012.
量子资源理论研究的一个中心问题是为具体的资源提供操作性解释,即在完成某种量子信息处理任务时资源态比任何非资源态更有优势.最近,Theurer等人[T Theurer,et al.Phys Rev Lett 119,230401 (2017)]通过扩展相干资源理论建立了严格的叠加资源理论框架.在叠加资源理论框架下,本文利用Holevo-Helstrom定理定量地刻画单量子比特叠加态在不同类型的量子操作区分任务中的优势,即计算得到叠加态辅助量子操作区分的最大成功概率大于非叠加态辅助时的值.这些定量结果还表明,在相同的叠加态辅助下,不同类型的操作(自由操作与非自由操作)之间最易于区分,而相同类型的量子操作之间,非自由操作之间的区分易于自由操作的区分.这一结果为新型量子安全通信协议的设计提供了新的依据.
In the study of quantum resource theories
one of the central problems is to provide an operational meaning for a given resource. In the provided quantum information processing task
every resource state provides an advantage compared to the case where all resourceless states are used. Recently
Theurer et al. [T Theurer
et al. Phys Rev Lett 119
230401 (2017)] introduced a rigorous resource theory framework for the quantification of superposition through generalizing of resource theories of coherence. Under the framework
we show that every one-qubit superposition state provides an advantage in different channel discrimination
quantified in terms of the Holevo-Helstrom theorem. Then
the maximum probability of success in superposition-assisted channel discrimination has been calculated
which is larger than the value of maximum probability of success in no superposition-assisted channel discrimination. Our results contribute to understanding the discrimination relevance of channels:assisting by the unique coherent state
different kinds of channels are most distinguishable
and different coherent channels are more distinguishable than different incoherent channels.
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