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Separability criteria via some classes of measurements

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Science China(Physics,Mechanics & Astronomy) 2017年第10期60卷 1-6页

作者： Lu Liu ting gao FengLi Yan College of Mathematics and Information Science Hebei Normal University Shijiazhuang 050024 China College of Physics Science and Information Engineering Hebei Normal University Shijiazhuang 050024 China

Mutually unbiased bases (MUBs) and symmetric informationally complete (SIC) positive operator-valued measurements (POVMs) are two related topics in quantum information theory. They are generalized to mutually unbiased measurements (MUMs) and general symmetric informationally complete (GSIC) measurements, respectively, that are both not necessarily rank 1. We study the quantum separability problem by using these measurements and present separability criteria for bipartite systems with arbitrary dimensions and multipartite systems of multi-level subsystems. These criteria are proved to be more effective than previous criteria especially when the dimensions of the subsystems are different. Furthermore, full quantum state tomography is not needed when these criteria are implemented in experiment.

关键词： entangled states mutually unbiased measurements mutually unbiased bases general symmetric informationally complete POVMs

Measures of imaginarity and quantum state order

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Science China(Physics,Mechanics & Astronomy) 2023年第8期66卷 26-35页

作者： Qiang Chen ting gao Fengli Yan School of Mathematical Sciences Hebei Normal UniversityShijiazhuang 050024China College of Physics Hebei Key Laboratory of Photophysics Research and ApplicationHebei Normal UniversityShijiazhuang 050024China

Complex numbers are widely used in classical and quantum ***,they play an important role in describing quantum systems and their dynamical ***,we propose several measures of the imaginarity of quantum states based on l1 norm and convex functions in the framework of resource ***,we investigate the quantum state order after a quantum system passes through a real *** proof shows that these proposed measures possess all the desirable properties for a measure of *** connection between the measure of imaginarity based on the l1 norm and the measure of imaginarity based on relative entropy is ***,we demonstrate that the l1 norm-based and the relative entropy-based measures of imaginarity are of the same order for qubit quantum *** we discuss the influences of the bit flip channel,phase damping channel,and amplitude flip channel on single qubit state order.

关键词： measure imaginarity quantum state order

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On the Evolution of the Apparent Size of Gamma-Ray Burst Remnants

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Chinese Journal of Astronomy and Astrophysics 2006年第3期6卷 305-311页

作者： ting-ting gao Yong-Feng Huang Department of Astronomy Nanjing University Nanjing 210093

The remnants of two gamma-ray bursts, GRB 030329 and GRB 041227, have been resolved by Very Long Baseline Interferometry observations. The radio counterparts were observed to expand with time. These observations provide an important way to test the dynamics of the standard fireball model. We show that the observed size evolution of these two events cannot be explained by a simple jet model, rather, it can be satisfactorily explained by the two-component jet model. It strongly hints that gamma-ray burst ejecta may have complicated structures.

关键词： gamma rays: bursts - ISM: jets and outflows

Dechlorination of carbon tetrachloride by the catalyzed Fe-Cu process

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Journal of Environmental Sciences 2007年第7期19卷 792-799页

作者： XU Wen-ying gao ting-yao The National Engineering Research Center for Urban Pollution Control Tongji University Shanghai 200092 China.

The dectrochemical reduction characteristics of carbon tetrachlofide （CT） were investigated using cyclic voltammetry in this study. In addition, the difference in reduction mechanisms of CT between Master Builders＇ iron and the catalyzed Fe-Cu process was discussed. The results showed that CT was reduced directly on the surface of copper rather than by atomic hydrogen produced at the cathode in the catalyzed Fe-Cu process. The reduction was realized largely by atomic hydrogen in Master Builders＇ iron. The entire CT in 350 ml aqueous solution with 320 mg/L was reduced to trichloromethane and dichloromethane in 2.25 h when 100 g of scrap iron with Fe/Cu ratio of 10：1 （w/w） were used. Moreover, the reduction rate slowed with time. CT could be reduced at acidic, neutral and alkaline pH from solution by Fe-Cu bimetallic media, but the mechanisms were different. The degradation rate was not significantly influenced by pH in the catalyzed Fe-Cu process; in Master Builders＇ iron it clearly increased with decreasing pH. The kinetics of the reductions followed pseudo-first order in both cases. Furthermore, the reductions under acidic conditions proceeded faster than that under the neutral and alkaline conditions. The catalyzed Fe-Cu process was superior to Master Builders＇ iron in treating CT-containing water and this advantage was particularly noticeable under alkaline conditions. The reduction was investigated in the cathode （Cu） and anode （Fe） compartments respectively, the results showed that the direct reduction pathway played an important role in the reduction by the catalyzed Fe-Cu process. The catalyzed Fe-Cu process is of practical value.

关键词： carbon tetrachloride electrochemical reduction characteristics catalyzed Fe-Cu process reduction mechanisms

Tighter monogamy relations of multiqubit entanglement in terms of Rényi-α entanglement

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Communications in Theoretical Physics 2020年第8期72卷 63-68页

作者： Li-Min gao Feng-Li Yan ting gao College of Physics Hebei Normal UniversityShijiazhuang 050024China School of Mathematical Sciences Hebei Normal UniversityShijiazhuang 050024China

We explore the existence of monogamy relations in terms of Rényi-α entanglement. By using the power of the Rényi-α entanglement, we establish a class of tight monogamy relations of multiqubit entanglement with larger lower bounds than the existing monogamy relations for α≥2, the power η>1, and 2>α≥(71/2-1)/2, the power η>2, respectively.

关键词： monogamy relation multiqubit entanglement Rényi-αentanglement

Block-coherence measures and coherence measures based on positive-operator-valued measures

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Communications in Theoretical Physics 2022年第2期74卷 51-59页

作者： Liangxue Fu Fengli Yan ting gao College of Physics Hebei Key Laboratory of Photophysics Research and ApplicationHebei Normal UniversityShijiazhuang 050024China School of Mathematical Sciences Hebei Normal UniversityShijiazhuang 050024China

We study block-coherence measures based on the resource theory of block-coherence and coherence measures based on positive-operator-valued measures(POVM).Several blockcoherence measures are presented,including the block-coherence measure based on maximum relative entropy,the one-shot block-coherence cost under maximally block-incoherent operations,and the coherence measure based on coherent *** relationships are ***,we describe the deterministic coherence dilution process by constructing blockincoherent *** on the POVM coherence resource theory,we also propose two coherence measures and analyze their relationship.

关键词： coherence measure block-coherence measure positive-operator-valued measure

Wiener Filtration Algorithm of an Ensemble Pulsar Timescale Based on a Power-law Model of Pulsar Power Spectrum

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Research in Astronomy and Astrophysics 2022年第10期22卷 129-140页

作者： ting-gao Yang Ming-Lei Tong Yu-Ping gao National Time Service Center Chinese Academy of SciencesXi'an 710600China Key Laboratory of Time and Frequency Primary Standards Chinese Academy of SciencesXi'an 71000China University of Chinese Academy of Sciences Beijing 100049China

An ensemble pulsar timescale derived from the traditional Wiener filtration still contains some high level *** improve this situation we developed a Wiener filtration algorithm of the ensemble pulsar timescale based on a power-law model of power spectrum for *** algorithm has three strengths:(1)mitigating spectral leakage between frequency bins for Fourier techniques;(2)using a power-law model for power spectrum;(3)signal realization in original residuals of data set by the power-law *** to improved algorithm we constructed an ensemble pulsar timescale EPT-TAI using timing data with respect to International Atomic Time(TAI)about 16 yr time span of ten pulsars from International Pulsar Timing Array second data release(version A).The results show that EPT-TAI detected correctly the differences TT(BIPM2015)-TAI between terrestrial time TT(BIPM2015)and *** frequency stabilityσzanalysis shows that EPT-TAI does not indicate red noise for 16 yr time interval,and fractional frequency stability for 8 yr and longer time intervals is slightly better than that of TT(BIPM2015)-*** for short time intervals of TT(BIPM2015)-TAI is better than that of EPT-TAI,but TT(BIPM2015)-TAI shows red noise for longer time *** the same algorithm we also derived an ensemble pulsar timescale EPT-TT(BIPM2015)with respect to TT(BIPM2015).The fractional frequency stability curve of EPT-TT(BIPM2015)shows similar characteristics as that of EPT-TAI but with slightly lower values.

关键词： (stars:)pulsars general-time-methods data analysis

Complement factors C1q, C3 and C5b-9 in the posterior sclera of guinea pigs with negative lens-defocused myopia

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International Journal of Ophthalmology(English edition) 2015年第4期8卷 675-680页

作者： ting-ting gao Qin Long Xue Yang Department of Ophthalmology Peking Union Medical College Hospital Chinese Academy of Medical Sciences & Peking Union Medical College

· AIM: To investigate the expression of complement factors in the posterior scleral fibroblasts of guinea pigs with negative lens-defocused myopia.· METHODS: Eighteen guinea pigs were assigned randomly to two groups: the negative lens-defocused group(NLD group, n =9) and the normal control without treatment group(NC group, n =9). The effect of myopic induction was compared in three subgroups: eyes treated with a-10.00 D negative lens in the NLD group(NL group), eyes treated with a plano(0 D) lens in the NLD group(PL group), and untreated right eyes in the NC group(NC group). The following analyses were conducted at four weeks: examination of the refractive error via retinoscopy, assessment of complement C5b-9expression in the posterior scleral fibroblasts using immunohistochemistry, and measurements of complement C1 q and C3 protein levels in the posterior sclera by Western blot.·RESULTS: After an induction period of four weeks, a significant myopic shift was detected in the eyes of the NL group, relative to that of the PL and NC groups(P <0.05). Data analysis showed a significant increase in the percentage of C5b-9 immunopositive fibroblasts in the posterior sclera of the NL group eyes, compared to the PL group(q =11.50, P <0.001). Significantly higher levels of C1q(q =4.94, P =0.01) and C3(q =4.07, P =0.03)protein were detected in the posterior sclera of NL group eyes, compared to the PL group. There were no significant difference between the PL and NC groups for C5b-9(q =2.44, P =0.10), C1q(q =1.55, P =0.53) and C3(q =0.98, P =0.77) in the posterior sclera.·CONCLUSION: The data from present study provide evidence of the up-regulation of C5b-9, C1 q and C3 in the posterior scleral fibroblasts in a NLD myopic animal model. The results suggest that the complement system may be involved in the development of myopia.

关键词： experimental myopia complement factors sclera inflammation

Entangler and analyzer for multiphoton Greenberger-Horne-Zeilinger states using weak nonlinearities

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Science China(Physics,Mechanics & Astronomy) 2014年第11期57卷 2098-2103页

作者： DING Dong YAN FengLi gao ting College of Physics Science and Information Engineering Hebei Normal University Department of Basic Curriculum North China Institute of Science and Technology College of Mathematics and Information Science Hebei Normal University

In the regime of weak nonlinearity we present two general,feasible schemes for manipulating photon *** is an entangler for generating any one of the n-photon Greenberger-Horne-Zeilinger(GHZ)*** of the incoming photons with crossKerr media followed by a phase shift gate and a measurement on a probe beam plus appropriate local operations using classical feed-forward of the measurement results allow one to obtain the desired states in a nearly deterministic *** second scheme discussed is an analyzer for multiphoton maximally entangled states,which is derived from the above *** this scheme,all of the 2nn-photon GHZ states can,nearly deterministically,be discriminated.

关键词： entangled photon entanglement generating coherent operations deterministic desired superposition optics