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Bounds on positive operator-valued measure based coherence of superposition
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作者 郭梦丽 梁津敏 +2 位作者 李波 费少明 王志玺 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第5期228-234,共7页
Quantum coherence is a fundamental feature of quantum physics and plays a significant role in quantum information processing.By generalizing the resource theory of coherence from von Neumann measurements to positive o... Quantum coherence is a fundamental feature of quantum physics and plays a significant role in quantum information processing.By generalizing the resource theory of coherence from von Neumann measurements to positive operatorvalued measures(POVMs),POVM-based coherence measures have been proposed with respect to the relative entropy of coherence,the l_(1) norm of coherence,the robustness of coherence and the Tsallis relative entropy of coherence.We derive analytically the lower and upper bounds on these POVM-based coherence of an arbitrary given superposed pure state in terms of the POVM-based coherence of the states in superposition.Our results can be used to estimate range of quantum coherence of superposed states.Detailed examples are presented to verify our analytical bounds. 展开更多
关键词 COHERENCE POVM-based coherence relative entropy l_(1)norm Tsallis relative entropy
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Tighter constraints of multiqubit entanglement in terms of Renyi-α entropy
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作者 Meng-Li Guo Bo Li +1 位作者 Zhi-Xi Wang shao-ming fei 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第7期251-256,共6页
Quantum entanglement plays essential roles in quantum information processing.The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems.We present a class of monogamy i... Quantum entanglement plays essential roles in quantum information processing.The monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems.We present a class of monogamy inequalities related to theµ-th power of the entanglement measure based on Renyi-αentropy,as well as polygamy relations in terms of theµ-th power of Renyi-αentanglement of assistance.These monogamy and polygamy relations are shown to be tighter than the existing ones. 展开更多
关键词 monogamy relations polygamy relations Renyi-αentropy Hamming weight
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Separability criteria based on Heisenberg–Weyl representation of density matrices
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作者 Jingmei Changl Meiyu Cui +1 位作者 Tinggui Zhang shao-ming fei 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第3期132-136,共5页
Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for... Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for bipartite quantum systems. It is shown that this criterion can be better than the previous ones in detecting entanglement. The results are generalized to multipartite quantum states. 展开更多
关键词 Heisenberg-Weyl observable basis Bloch representation separability criterion multipartite quan- tuna states
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Optimized monogamy and polygamy inequalities for multipartite qubit entanglement
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作者 Jia-Bin Zhang Zhi-Xiang Jin +1 位作者 shao-ming fei Zhi-Xi Wang 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第10期154-164,共11页
We investigate the monogamy and polygamy inequalities of arbitrary multipartite quantum states,and provide new classes of monogamy and polygamy inequalities of multiqubit entanglement in terms o f concurrence,entangle... We investigate the monogamy and polygamy inequalities of arbitrary multipartite quantum states,and provide new classes of monogamy and polygamy inequalities of multiqubit entanglement in terms o f concurrence,entanglement of formation,negativity,and Tsallis-q entanglement,respectively.We show that these new monogamy and polygamy inequality relations are tighter than the existing ones with detailed examples. 展开更多
关键词 monogamy inequalities polygamy inequalities entanglement measures
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Tighter sum uncertainty relations via(α,β,γ)weighted Wigner–Yanase–Dyson skew information
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作者 Cong Xu Zhaoqi Wu shao-ming fei 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第3期91-99,共9页
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–Yan... 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. 展开更多
关键词 quantum channels β γ)WWYD skew information β γ)MWWYD skew information uncertainty relations
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Signifying quantum uncertainty relations by optimal observable sets and the tightest uncertainty constants
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作者 Xiao-Bin Liang Bo Li shao-ming fei 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2024年第9期43-50,共8页
Quantum uncertainty relations constrain the precision of measurements across multiple non-commuting quantum mechanical observables.Here,we introduce the concept of optimal observable sets and define the tightest uncer... Quantum uncertainty relations constrain the precision of measurements across multiple non-commuting quantum mechanical observables.Here,we introduce the concept of optimal observable sets and define the tightest uncertainty constants to accurately describe these measurement uncertainties.For any quantum state,we establish optimal sets of three observables for both product and summation forms of uncertainty relations,and analytically derive the corresponding tightest uncertainty constants.We demonstrate that the optimality of these sets remains consistent regardless of the uncertainty relation form.Furthermore,the existence of the tightest constants excludes the validity of standard real quantum mechanics,underscoring the essential role of complex numbers in this field.Additionally,our findings resolve the conjecture posed in[Phys.Rev.Lett.118,180402(2017)],offering novel insights and potential applications in understanding preparation uncertainties. 展开更多
关键词 uncertainty relation the tightest uncertainty constants optimal observable sets
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Sharing quantum nonlocality in star network scenarios 被引量:1
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作者 Tinggui Zhang Naihuan Jing shao-ming fei 《Frontiers of physics》 SCIE CSCD 2023年第3期193-201,共9页
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 nonloca... 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. 展开更多
关键词 Bell nonlocality quantum network nonlocality sharing POVM measurements
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Quantum entanglement generation on magnons assisted with microwave cavities coupled to a superconducting qubit
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作者 Jiu-Ming Li shao-ming fei 《Frontiers of physics》 SCIE CSCD 2023年第4期311-320,共10页
We present protocols to generate quantum entanglement on nonlocal magnons in hybrid systems composed of yttrium iron garnet(YIG)spheres,microwave cavities and a superconducting(SC)qubit.In the schemes,the YIGs are cou... We present protocols to generate quantum entanglement on nonlocal magnons in hybrid systems composed of yttrium iron garnet(YIG)spheres,microwave cavities and a superconducting(SC)qubit.In the schemes,the YIGs are coupled to respective microwave cavities in resonant way,and the SC qubit is placed at the center of the cavities,which interacts with the cavities simultaneously.By exchanging the virtual photon,the cavities can indirectly interact in the far-detuning regime.Detailed protocols are presented to establish entanglement for two,three and arbitrary N magnons with reasonable fidelities. 展开更多
关键词 MAGNON superconducting qubit quantum electrodynamics quantum entanglement indirect interaction
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Discrimination of coherent states via atom–field interaction without rotation wave approximation
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作者 Jin-Hua Zhang Fu-Lin Zhang +2 位作者 Mai-Lin Liang Zhi-Xi Wang shao-ming fei 《Communications in Theoretical Physics》 SCIE CAS CSCD 2023年第6期78-85,共8页
Quantum state discrimination is an important part of quantum information processing.We investigate the discrimination of coherent states through a Jaynes-Cummings(JC)model interaction between the field and the ancilla... Quantum state discrimination is an important part of quantum information processing.We investigate the discrimination of coherent states through a Jaynes-Cummings(JC)model interaction between the field and the ancilla without rotation wave approximation(RWA).We show that the minimum failure probability can be reduced as RWA is eliminated from the JC model and the non-RWA terms accompanied by the quantum effects of fields(e.g.the virtualphoton process in the JC model without RWA)can enhance the state discrimination.The JC model without RWA for unambiguous state discrimination is superior to ambiguous state discrimination,particularly when the number of sequential measurements increases.Unambiguous state discrimination implemented via the non-RWA JC model is beneficial to saving resource costs. 展开更多
关键词 state discrimination Jaynes-Cummings model rotation wave approximation
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Tsallis relativeαentropy of coherence dynamics in Grover′s search algorithm
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作者 Linlin Ye Zhaoqi Wu shao-ming fei 《Communications in Theoretical Physics》 SCIE CAS CSCD 2023年第8期87-99,共13页
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 ... 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. 展开更多
关键词 quantum coherence Grover's search algorithm Tsallis relativeαentropy of coherence
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Tighter Constraints of Multiqubit Entanglement 被引量:3
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作者 Long-Mei Yang Bin Chen +1 位作者 shao-ming fei Zhi-Xi Wang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2019年第5期545-554,共10页
Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems.We provide classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entan... Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems.We provide classes of monogamy and polygamy inequalities of multiqubit entanglement in terms of concurrence, entanglement of formation, negativity, Tsallis-q entanglement, and Rényi-α entanglement, respectively. We show that these inequalities are tighter than the existing ones for some classes of quantum states. 展开更多
关键词 MONOGAMY RELATION POLYGAMY RELATION ENTANGLEMENT MEASURE
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Dynamics of coherence-induced state ordering under Markovian channels 被引量:2
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作者 Long-Mei Yang Bin Chen +1 位作者 shao-ming fei Zhi-Xi Wang 《Frontiers of physics》 SCIE CSCD 2018年第5期319-325,共7页
We study the dynamics of coherence-induced state ordering under incoherent channels, particularly four specific Markovian channels: amplitude damping channel, phase damping channel, depolarizing channel and bit flit ... We study the dynamics of coherence-induced state ordering under incoherent channels, particularly four specific Markovian channels: amplitude damping channel, phase damping channel, depolarizing channel and bit flit channel for single-qnbit states. We show that the amplitude damping channel, phase damping channel, and depolarizing channel do not change the coherence-induced state ordering by l1 norm of coherence, relative entropy of coherence, geometric measure of coherence, and Tsallis relative α-entropies, while the bit flit channel does change for some special cases. 展开更多
关键词 l1-norm of coherence relative entropy of coherence geometric measure of coherence Tsallis relative a-entropies of coherence ordering state
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Maximum relative entropy of coherence for quantum channels 被引量:2
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作者 Zhi-Xiang Jin Long-Mei Yang +4 位作者 shao-ming fei Xianqing Li-Jost Zhi-Xi Wang Gui-Lu Long Cong-Feng Qiao 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2021年第8期1-6,共6页
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... 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. 展开更多
关键词 maximum relative entropy quantum channels quantum coherence resource theory
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Experimental detection of quantum entanglement 被引量:2
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作者 Ming Li Ming-Jing Zhao +1 位作者 shao-ming fei Zhi-Xi Wang 《Frontiers of physics》 SCIE CSCD 2013年第4期357-374,共18页
In this review, we introduce some methods for detecting or measuring entanglement. Several non- linear entanglement witnesses are presented. We derive a series of Bell inequalities whose maximally violations for any m... In this review, we introduce some methods for detecting or measuring entanglement. Several non- linear entanglement witnesses are presented. We derive a series of Bell inequalities whose maximally violations for any multipartite qubit states can be calculated by using our formulas. Both the non- linear entanglement witnesses and the Bell inequalities can be operated experimentally. Thus they supply an effective way for detecting entanglement. We also introduce some experimental methods to measure the entanglement of formation, and the lower bound of the convex-roof extension of negativity. 展开更多
关键词 quantum entanglement Bell-type inequality entanglement detection
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Quantum gradient descent algorithms for nonequilibrium steady states and linear algebraic systems 被引量:1
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作者 Jin-Min Liang Shi-Jie Wei shao-ming fei 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2022年第5期21-33,共13页
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 vers... 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. 展开更多
关键词 quantum simulation quantum gradient descent algorithm nonequilibrium steady state quantum open system
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Geometry of skew information-based quantum coherence 被引量:1
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作者 Zhao-Qi Wu Huai-Jing Huang +1 位作者 shao-ming fei Xian-Qing Li-Jost 《Communications in Theoretical Physics》 SCIE CAS CSCD 2020年第10期70-79,共10页
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 ske... 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. 展开更多
关键词 COHERENCE skew information mutually unbiased bases quantum channels
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Quantum Fisher information and coherence in one-dimensional XY spin models with Dzyaloshinsky-Moriya interactions 被引量:1
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作者 Biao-Liang ye Bo Li +2 位作者 Zhi-Xi Wang Xianqing Li-Jost shao-ming fei 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2018年第11期8-14,共7页
We investigate quantum phase transitions in XY spin models using Dzyaloshinsky-Moriya(DM) interactions. We identify the quantum critical points via quantum Fisher information and quantum coherence, finding that higher... We investigate quantum phase transitions in XY spin models using Dzyaloshinsky-Moriya(DM) interactions. We identify the quantum critical points via quantum Fisher information and quantum coherence, finding that higher DM couplings suppress quantum phase transitions. However, quantum coherence(characterized by the l_1-norm and relative entropy) decreases as the DM coupling increases. Herein, we present both analytical and numerical results. 展开更多
关键词 quantum Fisher information quantum coherence XY spin models Dzyaloshinsky-Moriya interactions
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Total variance and invariant information in complementary measurements 被引量:1
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作者 Bin Chen shao-ming fei 《Communications in Theoretical Physics》 SCIE CAS CSCD 2020年第6期65-69,共5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... 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. 展开更多
关键词 total variance mutually complementary measurements Brukner–Zeilinger invariant information
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Twist-teleportation-based local discrimination of maximally entangled states 被引量:1
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作者 Mao-Sheng Li shao-ming fei +1 位作者 Zong-Xing Xiong Yan-Ling Wang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2020年第8期46-52,共7页
In this work,we study the local distinguishability of maximally entangled states(MESs).In particular,we are concerned with whether any fixed number of MESs can be locally distinguishable for sufficiently large dimensi... In this work,we study the local distinguishability of maximally entangled states(MESs).In particular,we are concerned with whether any fixed number of MESs can be locally distinguishable for sufficiently large dimensions.Fan and Tian et al.have already obtained two satisfactory results for the generalized Bell states(GBSs)and the qudit lattice states when applied to prime or prime power dimensions.We construct a general twist-teleportation scheme for any orthonormal basis with MESs that is inspired by the method used in[Phys.Rev.A 70,022304(2004)].Using this teleportation scheme,we obtain a sufficient and necessary condition for one-way distinguishable sets of MESs,which include the GBSs and the qudit lattice states as special cases.Moreover,we present a generalized version of the results in[Phys.Rev.A 92,042320(2015)]for the arbitrary dimensional case. 展开更多
关键词 TELEPORTATION local discrimination maximally entangled states
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Entanglement concentration of W-class states on nonlocal atoms using low-Q optical cavity
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作者 shao-ming fei 《Science China Earth Sciences》 SCIE EI CAS CSCD 2016年第12期235-236,共2页
As one of the most striking features of quantum phenomena,quantum entanglement has been identified as a key nonlocal resource in quantum information processing such as quantum cryptography.In particular,the maximally ... As one of the most striking features of quantum phenomena,quantum entanglement has been identified as a key nonlocal resource in quantum information processing such as quantum cryptography.In particular,the maximally entangled states give rise to the best fidelity in general,for instance,perfect teleportation. 展开更多
关键词 量子纠缠 光学谐振腔 低品质 浓缩 原子 局域 量子信息处理 量子隐形传态
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