论文作者：Ming Li, Yaru Dong, Ruiqi Zhang, Xuena Zhu, Shuqian Shen, Lei Li, Shao-Ming Fei 发表期刊：Quant. Inform. Processing 23 (2024) 397 摘要：Quantum entanglement plays a pivotal role in quantum information processing. Quantifying quantum entanglement is a challenging and essential research area within the field. This manuscript explores the relationships between bipartite entanglement concurrence, multipartite entanglement concurrence, and genuine multipartite entanglement (GME) concurrence. We derive lower bounds on GME concurrence from these relationships, demonstrating their superiority over existing results through rigorous proofs and numerical examples. Additionally, we investigate the connections between GME concurrence and other entanglement measures, such as tangle and global negativity, in multipartite quantum systems.

论文作者：Zhen Wang, Bao-Zhi Sun, Shao-Ming Fei, Zhi-Xi Wang 发表期刊：Quant. Inform. Processing 23 (2024) 401 摘要：The Schmidt number characterizes the quantum entanglement of a bipartite mixed state and plays a significant role in certifying entanglement of quantum states. We derive a Schmidt number criterion based on the trace norm of the correlation matrix obtained from the general symmetric informationally complete measurements. The criterion gives an effective way to quantify the entanglement dimension of a bipartite state with arbitrary local dimensions. We show that this Schmidt number criterion is more effective and superior than other criteria such as fidelity, CCNR (computable cross-norm or realignment), MUB (mutually unbiased bases) and EAM (equiangular measurements) criteria in certifying the Schmidt numbers by detailed examples.

论文作者：Kai Wu, Zhihua Chen, Zhen-Peng Xu, Zhihao Ma, Shao-Ming Fei 发表期刊：Advanced Quantum Technologies (2024) 2400443 摘要：Abstract: We study genuine multipartite entanglement (GME) and multipartite k-entanglement based on q-concurrence. Well-defined parameterized GME measures and measures of multipartite k-entanglement are presented for arbitrary dimensional n-partite quantum systems. Our GME measures show that the GHZ state is more entangled than the W state. Moreover, our measures are shown to be inequivalent to the existing measures according to entanglement ordering. Detailed examples show that our measures characterize the multipartite entanglement finer than some existing measures, in the sense that our measures identify the difference of two different states while the latter fail.

论文作者：Pan-Wen Ma, Hui Zhao, Shao-Ming Fei, Mei-Ming Zhang, Zhi-Xi Wang 论文题目： Parameterized Multipartite Entanglement and Genuine Entanglement Measures Based on q-Concurrence 发表期刊：Entropy 26 (2024) 535 简介：Abstract: We study genuine multipartite entanglement (GME) and multipartite k-entanglement based on q-concurrence. Well-defined parameterized GME measures and measures of multipartite k-entanglement are presented for arbitrary dimensional n-partite quantum systems. Our GME measures show that the GHZ state is more entangled than the W state. Moreover, our measures are shown to be inequivalent to the existing measures according to entanglement ordering. Detailed examples show that our measures characterize the multipartite entanglement finer than some existing measures, in the sense that our measures identify the difference of two different states while the latter fail.

论文作者： Kang-Kang Yang, Zhi-Xi Wang, Shao-Ming Fei 发表期刊： Phys. Rev. A 110 (2024) 042413 ​摘要： The concept of wave-particle duality holds significant importance in the field of quantum mechanics, as it elucidates the dual nature encompassing both wavelike and particlelike properties exhibited by microscopic particles. In this paper, we construct generalized measures for the predictability and visibility of n-path interference fringes to quantify the wave and particle properties in quantum high-dimensional systems. By employing the Morozova-Chentsov function, we ascertain that the wave-particle relationship can be delineated by the average coherence. This function exhibits a close correlation with the metric-adjusted skew information, thereby we establish complementary relations between visibility, predictability, and quantum f entropy, which reveal deep connections between wave-particle duality and other physical quantities. Through our methodology, diverse functions can be selected to yield corresponding complementary relationships.

论文作者： Xue-Na Zhu, Zhi-Xiang Jin, Gui Bao, Shao-Ming Fei 发表期刊： J. Phys. A 57 (2024) 455208 摘要： Coherence is a fundamental resource in quantum information processing, which can be certified by a coherence witness. In order to detect all the coherent states, we introduce a useful concept of coherence witness and structure the set of coherence witnesses $C^{d}_{[m,M]}$. We present necessary and sufficient conditions of detecting quantum coherence of $d-$dimensional quantum states based on $C^{d}_{[m,M]}$. Moreover,we show that each coherent state can be detected by one of the coherence witnesses in a finite set. The corresponding finite set of coherence witnesses is presented explicitly, which detects all the coherent states.

论文作者： Meng-Li Guo, Bo Li, Shao-Ming Fei 发表期刊： Sci. China Phys. Mech. & Astron. 68 (2025) 220311 摘要： Coherence is a fundamental resource in quantum information processing, which can be certified by a coherence witness. In order to detect all the coherent states, we introduce a useful concept of coherence witness and structure the set of coherence witnesses $C^{d}_{[m,M]}$. We present necessary and sufficient conditions of detecting quantum coherence of $d-$dimensional quantum states based on $C^{d}_{[m,M]}$. Moreover,we show that each coherent state can be detected by one of the coherence witnesses in a finite set. The corresponding finite set of coherence witnesses is presented explicitly, which detects all the coherent states.

论文作者： Zhi-Wei Wei, Shao-Ming Fei（通讯作者） 发表期刊： PHYSICAL REVIEW A 110, 052202 (2024) 简介： Quantum imaginarity and quantum nonlocality capture the essence of quantumness of a physical system from different aspects. We establish a connection between the imaginarity and quantum nonlocality in any two-qubit states. Based on the imaginarity l_1-norm and relative entropy, we derive complementary relations among the quantum imaginarities with respect to any set of mutually unbiased bases for arbitrary qubit states. Based on these complementary relations, we introduce the nonlocal advantage of quantum imaginarity (NAQI). We show that any two-qubit state with NAQI is quantum steerable, but not vice versa. In addition, we investigate the exclusion property of NAQI in three-qubit pure states.

作者：Wen-Na Zhao, Youwang Xiao, Ming Li, Li Xu, Shao-Ming Fei Physica Scripta 99 (2024) 105114 摘要：Bell non-locality is closely related with device independent quantum randomness. In this paper, we present a kind of sum-of-squares (SOS) decomposition for general Bell inequalities in two qubits systems. By using the obtained SOS decomposition, we can then find the measurement operators associated with the maximal violation of considered Bell inequality.Wealso practice the SOS decomposition method by considering the (generalized) Clauser-Horne-Shimony-Holt (CHSH) Bell inequality, the Elegant Bell inequality, the Gisin inequality and the Chained Bell inequality as examples. The corresponding SOS decompositions and the measurement operators that cause the maximum violation values of these Bell inequalities are derived, which are consistent with previous results.Wefurther discuss the device independent quantum randomness by using the SOS decompositions of Bell inequalities.Wetake the generalized CHSHinequality with the maximally entangled state and the Werner state that attaining the maximal violations as examples. Exact value or lower bound on the maximal guessing probability using the SOS decomposition are obtained. For Werner state, the lower bound can supply a much precise estimation of quantum randomness when p tends to 1.

作者：Zhong-Xi Shen, Dong-Ping Xuan, Wen Zhou, Zhi-Xi Wang, Shao-Ming Fei Laser Phys. Lett. 21 (2024) 105207 摘要：We present optimized generalized monogamy relations and upper bounds derived from concurrence and concurrence of assistance. We first establish a tighter general upper bound of the $\alpha$th ($0\leq\alpha\leq2$) power of concurrence for $N$-qubit states. Then for $N$-qubit systems $ABC_1...C_{N-2}$, the optimized monogamy relations and upper bounds satisfied by the $\alpha$th ($0\leq\alpha\leq2$) power of concurrence of $N$-qubit pure states under the partition $AB$ and $C_1...C_{N-2}$, as well as under the partition $ABC_1$ and $C_2...C_{N-2}$ are established, which give rise to restrictions on the entanglement distribution and trade offs among the subsystems. Moreover, the utilization of the $W$-class states demonstrates that our results are tighter compared with the existing results. Similar results are also obtained for negativity