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Sharing quantum nonlocality in star network scenarios

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Frontiers of physics 2023年第3期18卷 193-201页

作者： Tinggui Zhang Naihuan Jing shao-Ming fei School of Mathematics and Statistics Hainan Normal UniversityHaikou 571158China College of Sciences Shanghai UniversityShanghai 200444China Department of Mathematics North Carolina State UniversityRaleighNC 27695USA School of Mathematical Sciences Capital Normal UniversityBeijing 100048China Max-Planck-Institute for Mathematics in the Sciences Leipzig 04103Germany

The Bell nonlocality is closely related to the foundations of quantum physics and has significant applications to security questions in quantum key distributions.In recent years,the sharing ability of the Bell nonlocality has been extensively studied.The nonlocality of quantum network states is more complex.We first discuss the sharing ability of the simplest bilocality under unilateral or bilateral POVM measurements,and show that the nonlocality sharing ability of network quantum states under unilateral measurements is similar to the Bell nonlocality sharing ability,but different under bilateral measurements.For the star network scenarios,we present for the first time comprehensive results on the nonlocality sharing properties of quantum network states,for which the quantum nonlocality of the network quantum states has a stronger sharing ability than the Bell nonlocality.

关键词： Bell nonlocality quantum network nonlocality sharing POVM measurements

What is the largest separation between quantum and classical query complexity?

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Science Bulletin 2017年第14期62卷 980-981页

作者： shao-Ming fei School of Mathematical Sciences Capital Normal University

In the theory of computation,a key question in analyzing the computational complexity of a certain computational problem is how much least physical resource would be needed to solve a computational task[1].Here,the ph... 详细信息

关键词：计算复杂性分离查询量子计算理论物理资源计算问题

Quantum gradient descent algorithms for nonequilibrium steady states and linear algebraic systems

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Science China(Physics,Mechanics & Astronomy) 2022年第5期65卷 21-33页

作者： Jin-Min Liang Shi-Jie Wei shao-Ming fei School of Mathematical Sciences Capital Normal UniversityBeijing J00048China Beijing Academy of Quantum Information Sciences Beijing 100193China State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics Tsinghua UniversityBeijing 100084China Shenzhen Institute for Quantum Science and Engineering Southern University of Science and TechnologyShenzhen 518055China

The gradient descent approach is the key ingredient in variational quantum algorithms and machine learning tasks,which is an optimization algorithm for finding a local minimum of an objective function.The quantum versions of gradient descent have been investigated and implemented in calculating molecular ground states and optimizing polynomial functions.Based on the quantum gradient descent algorithm and Choi-Jamiolkowski isomorphism,we present approaches to simulate efficiently the nonequilibrium steady states of Markovian open quantum many-body systems.Two strategies are developed to evaluate the expectation values of physical observables on the nonequilibrium steady states.Moreover,we adapt the quantum gradient descent algorithm to solve linear algebra problems including linear systems of equations and matrix-vector multiplications,by converting these algebraic problems into the simulations of closed quantum systems with well-defined Hamiltonians.Detailed examples are given to test numerically the effectiveness of the proposed algorithms for the dissipative quantum transverse Ising models and matrix-vector multiplications.

关键词： quantum simulation quantum gradient descent algorithm nonequilibrium steady state quantum open system

Average coherence with respect to complementary measurements

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Communications in Theoretical Physics 2021年第1期73卷 35-39页

作者： Bin Chen shao-Ming fei College of Mathematical Science Tianjin Normal UniversityTianjin 300387China School of Mathematical Sciences Capital Normal UniversityBeijing 100048China Max-Planck-Institute for Mathematics in the Sciences D-04103 LeipzigGermany

We investigate the average coherence with respect to a complete set of complementary measurements.By using a Wigner-Yanase skew information-based coherence measure introduced in Luo and Sun(2017 Phys.Rev.A 96,022130),we evaluate the average coherence of a state with respect to any complete set of mutually unbiased measurements and general symmetric informationally complete measurements,respectively.We also establish analytically the relations among these average coherences.

关键词： average coherence mutually unbiased measurements general symmetric informationally complete measurements

Total variance and invariant information in complementary measurements

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Communications in Theoretical Physics 2020年第6期72卷 65-69页

We investigate the total variance of a quantum state with respect to a complete set of mutually complementary measurements and its relation to the Brukner–Zeilinger invariant information.By summing the variances over any complete set of mutually unbiased measurements and general symmetric informationally complete measurements respectively,we show that the Brukner–Zeilinger invariant information associated with such types of quantum measurements is equal to the difference between the maximal variance and the total variance obtained.These results provide an operational link between the previous interpretations of the Brukner–Zeilinger invariant information.

关键词： total variance mutually complementary measurements Brukner–Zeilinger invariant information

Quantification of optical nonclassicality: A phase-space method

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Science China(Physics,Mechanics & Astronomy) 2022年第11期65卷 140-140页

作者： shao-Ming fei School of Mathematical Sciences Capital Normal UniversityBeijing 100048China

Nonclassical states, with features impossible to be described via the classical theory, are important resources for many quantum technologies. For example, nonclassical optical states play a pivotal role in the development of quantum metrology both theoretically and experimentally. Thus certifying the boundary between classical and nonclassical states has attracted a wide range of interest.

关键词： nonclassical quantum states

Tsallis relativeαentropy of coherence dynamics in Grover′s search algorithm

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Communications in Theoretical Physics 2023年第8期75卷 87-99页

作者： Linlin Ye Zhaoqi Wu shao-Ming fei Department of Mathematics Nanchang UniversityNanchang 330031China School of Mathematical Sciences Capital Normal UniversityBeijing 100048China

Quantum coherence plays a central role in Grover’s search algorithm.We study the Tsallis relative a entropy of coherence dynamics of the evolved state in Grover’s search algorithm.We prove that the Tsallis relative a entropy of coherence decreases with the increase of the success probability,and derive the complementarity relations between the coherence and the success probability.We show that the operator coherence of the first H■relies on the size of the database N,the success probability and the target states.Moreover,we illustrate the relationships between coherence and entanglement of the superposition state of targets,as well as the production and deletion of coherence in Grover iterations.

关键词： quantum coherence Grover's search algorithm Tsallis relativeαentropy of coherence

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

Adaptive-measurement based quantum tomography

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Science China(Physics,Mechanics & Astronomy) 2017年第2期60卷 76-77页

作者： shao-Ming fei School of Mathematical Sciences Capital Normal University Beijing 100048 China

Quantum state tomography(QST)concerns a complete description of arbitrary unknown quantum states by using experimental data from quantum measurements.The adaptive measurement,i.e.,repeated measurement of an observable utilizing prior measurement outcomes and adapting to changing experimental conditions,has great potential for various purposes in quantum information sciences like QST.An open problem left for QST is how many measurements are needed to determine unknown quantum states.

关键词：自适应测量层析成像量子态量子信息科学 QST 量子状态实验数据量子测量