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Variational quantum algorithms for trace norms and their applications

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Communications in Theoretical Physics 2021年第10期73卷 90-96页

作者： sheng-Jie Li Jin-Min Liang shu-qian shen Ming Li College of Science China University of Petroleum266580 QingdaoChina School of Mathematical Sciences Capital Normal University100048 BeijingChina

The trace norm of matrices plays an important role in quantum information and quantum computing. How to quantify it in today’s noisy intermediate scale quantum(NISQ) devices is a crucial task for information processing. In this paper, we present three variational quantum algorithms on NISQ devices to estimate the trace norms corresponding to different *** with the previous methods, our means greatly reduce the requirement for quantum resources. Numerical experiments are provided to illustrate the effectiveness of our algorithms.

关键词： quantum algorithm trace norm variational algorithm

Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality

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Frontiers of physics 2021年第3期16卷 205-210页

作者： Ling-Yun Sun Li Xu Jing Wang Ming Li shu-qian shen Lei Li Shao-Ming Fei College of the Science China University of PetroleumQingdao266580China School of Mathematical Sciences Capital Normal UniversityBeijing100048China Max-Planck-Institute for Mathematics in the Sciences Leipzig04103Germany

Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum *** violation of the Svetlichny inequality provides sufficient conditions of genuine tripartite *** provide tight upper bounds on the maximal quantum value of the Svetlichny operators under local filtering operations,and present a qualitative analytical analysis on the hidden genuine nonlocality for three-qubit *** investigate in detail two classes of three-qubit states whose hidden genuine nonlocalities can be revealed by local filtering.

关键词： Bell inequalities Svetlichny inequality local filtering operations

Variational quantum support vector machine based on Hadamard test

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Communications in Theoretical Physics 2022年第5期74卷 61-69页

作者： Li Xu Xiao-Yu Zhang Jin-Min Liang Jing Wang Ming Li Ling Jian shu-qian shen College of Science China University of PetroleumQingdao 266580 China School of Mathematical Sciences Capital Normal UniversityBeijing 100048China School of Economics and Management China University of PetroleumQingdao 266580China

Classical machine learning algorithms seem to be totally incapable of processing tremendous amounts of data,while quantum machine learning algorithms could deal with big data with ease and provide exponential acceleration over classical ***,variational quantum algorithms are widely proposed to solve relevant computational problems on noisy,intermediate-scale quantum *** this paper,we apply variational quantum algorithms to quantum support vector machines and demonstrate a proof-of-principle numerical experiment of this *** addition,in the classification stage,fewer qubits,shorter circuit depth,and simpler measurement requirements show its superiority over the former algorithms.

关键词： quantum support vector machine Hadamard test variational quantum algorithm

2型糖尿病对脑梗死患者血小板衍生内皮细胞生长因子和血管内皮细胞生长因子的影响

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中国临床药理学杂志 2018年第7期34卷 783-785,792页

作者：钱淑霞沈宇斐张晓玲官俏兵嘉兴市第二医院神经内科浙江嘉兴314000

目的观察2型糖尿病对急性脑梗死患者血清血小板衍生内皮细胞生长因子(PD-ECGF)和血管内皮细胞生长因子(VEGF)的影响。方法入选急性脑梗死患者73例(其中非伴随糖尿病患者32例设为A组,伴随糖尿病患者41例设为B组)、同期住院的合并2型糖尿... 详细信息

目的观察2型糖尿病对急性脑梗死患者血清血小板衍生内皮细胞生长因子(PD-ECGF)和血管内皮细胞生长因子(VEGF)的影响。方法入选急性脑梗死患者73例(其中非伴随糖尿病患者32例设为A组,伴随糖尿病患者41例设为B组)、同期住院的合并2型糖尿病的非脑血管病患者30例(C组),以及不伴糖尿病的非脑血管病患者30例(D组)为研究对象。用双抗体夹心酶联免疫吸附实验法检测A组和B组患者在发病后第1,3,7,10~14天时的血清PD-ECGF、VEGF浓度,C组和D组患者检测入院第1天的血清PD-ECGF、VEGF浓度。用美国国立卫生院神经功能缺损评分(NIHSS)量表对A组和B组进行NIHSS评分。结果发病后1,3,7,10~14 d,A组的PD-ECGF分别为(5.93±1.25),(5.93±1.25),(4.19±1.23)和(3.67±1.06)μg·m L^(-1),B组的PD-ECGF分别为(2.88±0.54),(2.84±0.53),(2.81±0.41)和(2.86±0.49)μg·m L^(-1);A组的VEGF分别为(172.32±31.91),(254.36±49.56),(321.80±52.20)和(195.91±40.25)pg·m L^(-1),B组的VEGF分别为(154.91±31.84),(158.69±29.27),(156.92±38.16)和(159.64±27.21)pg·m L^(-1),2组各个时间点比较,差异均有统计学意义(均P0.05);发病后第10~14天,A组和B组的NIHSS评分分别为(4.24±1.87)和(6.48±2.15)分,差异有统计学意义(P<0.05)。结论 2型糖尿病可通过降低脑梗死患者血清PD-ECGF和VEGF表达水平,影响患者的预后。

关键词：脑梗死 2型糖尿病血小板衍生内皮细胞生长因子血管内皮细胞生长因子

Association between autoimmune gastritis and gastric polyps:Clinical characteristics and risk factors

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World Journal of Gastrointestinal Oncology 2025年第1期17卷 73-87页

作者： Jing-Zheng Jin Xiao Liang shu-Peng Liu Rui-Lan Wang Qing-Wei Zhang Yu-Feng shen Xiao-Bo Li Division of Gastroenterology and Hepatology Renji HospitalShanghai Jiao Tong University School of MedicineShanghai 200127China Division of Gastroenterology and Hepatology Shanghai Institute of Digestive DiseasesShanghai 200001China Division of Gastroenterology and Hepatology Renji Hospital Affiliated to Shanghai Jiao Tong University School of MedicineShanghai 200127China Division of Gastroenterology and Hepatology Sichuan Armed Police Corps HospitalLeshan 610041Sichuan ProvinceChina Division of Gastroenterology and Hepatology NHC Key Laboratory of Digestive DiseasesRenji HospitalShanghai Jiao Tong University School of MedicineShanghai 200127China Department of Gastroenterology Renji Hospital Affiliated to Shanghai Jiao Tong University School of Medicine Shanghai Institute of Digestive DiseasesShanghai 200127China

BACKGROUND The relationship between autoimmune gastritis(AIG)and gastric polyps(GPs)is not well *** To explore the clinical characteristics and risk factors of AIG with GPs in *** This double center retrospective study included 530 patients diagnosed with AIG from July 2019 to July *** collected clinical,biochemical,serological,and demographic data were of each *** regression analyses,both multivariate and univariate,were conducted to pinpoint independent risk factors for GPs in patients with AIG *** operating characteristic curves were utilized to establish the optimal cutoff values,sensitivity,and specificity of these risk factors for predicting GPs in patients with *** Patients with GPs had a higher median age than those without GPs[61(52.25-69)years vs 58(47-66)years,P=0.006].The gastrin-17 levels were significantly elevated in patients with GPs compared with those without GPs[91.9(34.2-138.9)pmol/mL vs 60.9(12.6-98.4)pmol/mL,P<0.001].Additionally,the positive rate of parietal cell antibody(PCA)antibody was higher in these patients than in those without GPs(88.6%vs 73.6%,P<0.001).Multivariate and univariate analyses revealed that PCA positivity[odds ratio(OR)=2.003,P=0.017],pepsinogen II(OR=1.053,P=0.015),and enterochromaffin like cells hyperplasia(OR=3.116,P<0.001)were significant risk factors for GPs,while pepsinogen I was identified as a protective *** PCA positivity and enterochromaffin like cells hyperplasia are significant risk factor for the development of GPs in patients with *** gastrin-17 levels may also play a role in this *** findings suggest potential targets for further research and therapeutic intervention in managing GPs in patients with AIG.

关键词： Autoimmune gastritis Gastric polyps Neuroendocrine tumor Risk factors Nomogram

Uniform design ray in the assessment of combined toxicities of multi-component mixtures

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Science Bulletin 2016年第1期61卷 52-58页

作者： shu-shen Liu qian-Fen Xiao Jin Zhang Mo Yu Key Laboratory of Yangtze River Water Environment Ministry of Education College of Environmental Science and Engineering Tongji University College of Environment and Energy Engineering Anhui Jianzhu University

Multi-component mixture(MCM) is a complicated chemical system that contains a great deal of mixture rays with various mixture ratios, and each ray includes many mixtures with different concentration ***, in combined toxicity field, almost all studies on MCM focus on the mixtures designed by the equivalenteffect concentration ratio(EECR) procedure. However, the EECR mixtures cannot represent the whole mixture system because the EECR mixtures are located on one mixture ray in concentration space formed by multiple components. In our view, some optimal experimental design such as the uniform design(UD) should be used to effectively select many representative mixture rays from the MCM system,instead of single EECR ray. The uniform design ray(UDray) integrating UD idea with fixed-ratio ray design can systematically and comprehensively measure the combined toxicity changes in the MCM system. This review introduces the operation method, construction of uniform table and corresponding usable table, and some cases of application of the UD-ray to help readers easily use UD-ray in their MCM toxicity assessment.

关键词： Chemical mixture Uniform design Ray design Mixture ratio. Concentration-responserelationship Toxicity interaction

Analysis of chaos behaviors of a bistable piezoelectric cantilever power generation system by the second-order Melnikov function

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Acta Mechanica Sinica 2017年第1期33卷 200-207页

作者： shu Sun shu-qian Cao Department of Mechanics School of Mechanical Engineering Tianjin University Tianjin 300350 China College of Science North China University of Science and Technology Tangshan 063009 China Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control Tianjin 300350 China

By applying the second order Melnikov function, the chaos behaviors of a bistable piezoelectric cantilever power generation system are analyzed. Firstly, the conditions for emerging chaos of the system are derived by the second order Melnikov function. Secondly, the effects of each item in chaos threshold expression are analyzed. The excitation frequency and resistance values, which have the most influence on chaos threshold value, are found. The result from the second order Melnikov function is more accurate compared with that from the first order Melnikov function. Finally, the attraction basins of large amplitude motions under different exciting frequency, exciting amplitude, and resistance parameters are given.

关键词： Bistable piezoelectric cantilever beam Second order Melnikov function Homoclinic bifurcation Basin of attraction

ULF electromagnetic precursors before the 1999 Jiji, Taiwan, earthquake and the comparison with results of simulating experiments

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Acta Seismologica Sinica(English Edition) 2001年第3期14卷 342-348页

作者： qian shu-qing 1. Laboratory of Tectonophysics & Institute of Geophysics China Seismological Bureau 100081 Beijing China 2. Seismological Bureau of Fujian Province 350003 Fuzhou China

There are many reports about the abnormal electromagnetic signals observed before great earthquakes. In particular, the signals of electromagnetic anomalies before the Hyogo-Ken Nanbu, Japan, MS=7.2 earthquake on January 17, 1995 (Hayakawa, et al, 1996) and those before the Loma Prieta, USA, MS=7.1 earthquake on October 19, 1989 (Fraser-Smith, et al, 1990) are especially remarkable. However, what the above authors reported are only the phenomena of one or two observatories. In order to confirm this phenomenon, the authors studied the results obtained by nine observatories in the southeast coastal areas of Chinese mainland within a range of 256~858 km to the epicenter of the 1999 Jiji, Taiwan, earthquake using instruments of the same type (the ULF/VLF electromag-netic wave observation system). By summarizing the data for the three months up to the time of earthquake occur-rence, the authors obtained the regional distribution of the signals of electromagnetic anomalies before the earth-quake and their features in the time domain and frequency domain.

关键词： Jiji earthquake experiment of rock fracture under compression ULF electromagnetic precursors mechanism of production and propagation P319

Immunotoxicity of bisphenol A to Carassius auratus lymphocytes and macrophages following in vitro exposure

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Journal of Environmental Sciences 2007年第2期19卷 232-237页

作者： YIN Da-qiang HU shuang-qing GU Ying WEI Li LIU shu-shen ZHANG Ai-qian State Key Laboratory of Pollution Control and Resource Reuse School of the Environment Nanfing University Nanjing 210093 China Key laboratory of Yangtze River Water Environment Ministry of Education Tongji University Shanghai 200092 China

Bisphenol A （BPA） is the monomer component of polycarbonate plastics and classified as an endocrine disrupting chemical （EDC）. The reproductive toxicity of BPA has been extensively studied in mammals; however, relatively little information is available on the immunotoxic responses of fish to BPA. In this study, we investigated the effects of BPA on the immune functions of lymphocytes and macrophages in Carassius auratus. The effects of BPA were compared with those of two natural steroid hormones, estradiol and hydrocortisone. Proliferation of the two types of cells in response to PHA was measured using colorimetric MTT assay. Macrophage respiratory burst stimulated by Con A was measured using chemiluminescence assay. Results showed that BPA （0.054-5.4 mg/L）, estradiol （0.0002-2.0 mg/L） and hydrocortisone （5-50 mg/L） significantly induced Carassius auratus lymphocyte proliferation while higher doses of hydrocortisone （500-5000 mg/L） appeared to be inhibitory. BPA （0.005-50 mg/L）, estradiol （0.005-800 mg/L） and hydrocortisone （0.005-500 mg/L） markedly enhanced macrophage proliferation, whereas higher doses of BPA （500-1000 mg/L） appeared to inhibit cell proliferation. Furthermore, higher dosage of BPA （50 mg/L） and hydrocortisone （50 and 500 mg/L） suppressed the macrophages respiratory burst while estradiol is stimulative all the doses tested （0.05-500 mg/L）. In conclusion, BPA could have immunotoxicity to Carassius auratus and functional changes of lymphocyte and macrophage in Carassius auratus may be different between low and high dosages.

关键词： bisphenol A immunotoxicology lymphocyte macrophage Carassius auratus