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Tighter sum uncertainty relations via(α,β,γ)weighted Wigner–Yanase–Dyson skew information

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Communications in Theoretical Physics 2024年第3期76卷 91-99页

作者： Cong Xu Zhaoqi Wu Shao-Ming Fei School of Mathematical Sciences Capital Normal UniversityBeijing 100048China Department of Mathematics Nanchang UniversityNanchang 330031China Max-Planck-Institute for Mathematics in the Sciences 04103 LeipzigGermany

We establish tighter uncertainty relations for arbitrary finite observables via(α,β,γ)weighted Wigner–Yanase–Dyson((α,β,γ)WWYD)skew information.The results are also applicable to the(α,γ)weighted Wigner–Yanase–Dyson((α,γ)WWYD)skew information and the weighted Wigner–Yanase–Dyson(WWYD)skew information.We also present tighter lower bounds for quantum channels and unitary channels via(α,β,γ)modified weighted Wigner–Yanase–Dyson((α,β,γ)MWWYD)skew information.Detailed examples are provided to illustrate the tightness of our uncertainty relations.

关键词： quantum channels (α,β,γ)WWYD skew information (α,β,γ)MWWYD skew information uncertainty relations

Maximum relative entropy of coherence for quantum channels

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Science China(Physics,Mechanics & Astronomy) 2021年第8期64卷 1-6页

作者： Zhi-Xiang Jin Long-Mei Yang Shao-Ming Fei Xianqing Li-Jost Zhi-Xi Wang Gui-Lu Long Cong-Feng Qiao School of Physics University of Chinese Academy of SciencesBeijing 100049China State Key Laboratory of Low-Dimensional quantum Physics and Department of Physics Tsinghua UniversityBeijing 100084China School of Mathematical Sciences Capital Normal UniversityBeijing 100048China Max-Planck-Institute for Mathematics in the Sciences Leipzig 04103Germany Frontier Science Center for quantum Information Beijing 100084China Beijing National Research Center for Information Science and Technology Beijing 100084China Beijing Academy of quantum Information Sciences Beijing 100193China CAS Center for Excellence in Particle Physics Beijing 100049China

Based on the resource theory for quantifying the coherence of quantum channels, we introduce a new coherence quantifier for quantum channels via maximum relative entropy. We prove that the maximum relative entropy for coherence of quantum channels is directly related to the maximally coherent channels under a particular class of superoperations, which results in an operational interpretation of the maximum relative entropy for coherence of quantum channels. We also introduce the conception of subsuperchannels and sub-superchannel discrimination. For any quantum channels, we show that the advantage of quantum channels in sub-superchannel discrimination can be exactly characterized by the maximum relative entropy of coherence for quantum channels. Similar to the maximum relative entropy of coherence for channels, the robustness of coherence for quantum channels has also been investigated. We show that the maximum relative entropy of coherence for channels provides new operational interpretations of robustness of coherence for quantum channels and illustrates the equivalence of the dephasing-covariant superchannels,incoherent superchannels, and strictly incoherent superchannels in these two operational tasks.

关键词： maximum relative entropy quantum channels quantum coherence resource theory

quantum dynamical resource theory under resource non-increasing framework

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Chinese Physics B 2023年第4期32卷 184-192页

作者：杨思忍于长水 School of Physics Dalian University of TechnologyDalian 116024China

We define the resource non-increasing(RNI)framework to study the dynamical resource theory.With this definition,we propose several potential quantification candidates under various free operation sets.For explicit demonstrations,we quantify the quantum dynamical coherence in the scenarios with and without post-selective measurements.Correspondingly,we show that the maximally incoherent operations(MIO)and the incoherent operations(IO)in the static coherence resource theory are free in the sense of dynamical coherence.We also provide operational meanings for the measures by the quantum discrimination tasks.Moreover,for the dynamical total coherence,we also present convenient measures and give the analytic calculation for the amplitude damping channel.

关键词： quantum resource theory quantum channels quantum coherence

Geometry of skew information-based quantum coherence

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Communications in Theoretical Physics 2020年第10期72卷 70-79页

作者： Zhao-Qi Wu Huai-Jing Huang Shao-Ming Fei Xian-Qing Li-Jost Department of Mathematics Nanchang UniversityNanchang 330031China School of Mathematical Sciences Capital Normal UniversityBeijing 100048China Max-Planck-Institute for Mathematics in the Sciences D-04103 LeipzigGermany

We study the skew information-based coherence of quantum states and derive explicit formulas for Werner states and isotropic states in a set of autotensors of mutually unbiased bases(MUBs).We also give surfaces of skew information-based coherence for Bell-diagonal states and a special class of X states in both computational basis and in MUBs.Moreover,we depict the surfaces of the skew information-based coherence for Bell-diagonal states under various types of local nondissipative quantum channels.The results show similar as well as different features compared with relative entropy of coherence and l1 norm of coherence.

关键词： coherence skew information mutually unbiased bases quantum channels