基本情况

曹怀信，教授，博士，博士研究生导师。1982年1月毕业于伟德betvlctor最新版本数学系，并留校任教，1987年12月在伟德betvlctor最新版本数学系获理学硕士学位，1992年12月晋升为副教授，2000年晋升为教授，2000年3月至2003年3月在西安交通大学理学院，师从中国科学院院士徐宗本教授攻读应用数学博士学位,并获理学博士学位。2013年11月－2014年1月在澳大利亚拉筹伯大学访问，2018年11月－2018年12日在台湾（国立）中山大学访问。研究方向为算子论与算子代数、小波分析、量子信息学。

陕西省教学名师，省级《分析学》教学团队、精品资源共享课程《复变函数论》、首批国家级一流课程主持人。

代表性学术论文

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• [1] Ren, Lingyun, Guo, Zhihua, Wang, Wenhua, Cao, Huaixin, Characterizing maximally imaginary states, Phys. Lett. A, 2025, 553: 130677.

• [2] Zhang, Cheng-Yang, Guo, Zhi-Hua, Yang, Ying, Cao, Huai-Xin, Coherence estimation of quantum superposition states, Laser Phys. Lett. 2025, 22(3): 035206.

• [3] Zheng, Bingke, Guo, Zhihua, Zhang, Chengyang, Cao, Huaixin, Freezing imaginarity measures with real operations, J. Phys. A: Math. Theor. 2025, 58(3): 035304.

• [4] Du, Wenjing, Zhou, Di, Han, Kanyuan, Sun, Hui, Cao, Huaixin, Tang, Weidong, Deterministic all-versus-nothing proofs of bell nonlocality induced from qudit non-stabilizer states, Phys. Lett. A, 2024, 525: 129908.

• [5] K. F. Hu, Z. H. Guo, H. X. Cao and L. Lu, Quantum nonlocality of density operators and their corresponding density matrices, EPL, 2024, 148: 38002.

• [6] Yang, Ying, Cao, Huaixin, Cuo, Zhihua, Fan, Yajing, Generalized strong locality inequality for multi-star-shaped quantum networks, Phys. Scr. 2024, 99(10): 105244.

• [7] 韩看远, 郭志华, 曹怀信*, 汤卫东，利用弱Hardy型悖论与Hardy-Bell不等式检验Bell非局域性, 中国科学: 物理学 力学 天文学, 2024, 54(7): 270311.

• [8] Zhao, Xue-Yan, Chen, Zheng-Li, Wang, Wen-Hua), Cao, Huai-Xin, D-nontrilocality of sparse probability tensors and the triangle network, Phys. Scr. 2024, 99(9): 095126.

• [9] Fan, Yajing, Guo, Zhihua, Liu, Yan, Cao, Huaixin, Resource theory of Kirkwood-Dirac imaginarity, Phys. Scr. 2024, 99(9): 085115.

• [10] Huai-Xin Cao, Hong-Yi Chen, Zhi-Hua Guo, Tsung-Lin Lee, Ngai-Ching Wong, Convex decompositions of Q-stochastic tensors and Bell locality in a multipartite system, Adv. Oper. Theory, 2024, 9: 19.

• [11] Kanyuan Han, Wenqian Zhu, Zhihua Guo* and Huaixin Cao*, Hardy-Bell inequalities and fault-tolerant Hardy paradoxes，Phys. Scr. 2024, 99: 015104.

• [12] Shu Xiao, Huaixin Cao, Zhihua Guo, Kanyuan Han, Characterizations of bilocality and n-locality of correlation tensors, Quant. Inform. Processing, 2023, 22: 382.

• [13] Y. Chen, S. Xiao, K. Han, Z. Guo and H. Cao, Continuous and discrete local hidden variable theories are equivalent, Information Sciences, 2023, 647: 119440.

• [14] Huai-Xin Cao, Hong-Yi Chen, Zhi-Hua Guo, and Tsung-Lin Lee, The convex decomposition of row-stochastic matrices, Ann. Math. Sci. Appl., 2023, 8(2): 289-306.

• [15] 杨莹，曹怀信, 量子混合态的两种神经网络表示, 物理学报, 2023, 72: 110301.

• [16] Xiao S., Guo Z., Cao H.,Han K., Yang Y., Nonlocality of star-shaped correlation tensors based on the architecture of a general multi-star-network, Mathematics 2023, 11: 1625.

• [17] Wen-Qian Zhu, Di Hu, Zhi-Hua Guo, Huai-Xin Cao, Bell bi-Inequalities for Bell local correlation tensors, Int. J. Theor. Phys. 2023, 62: 68.

• [18] Xiao S., Cao H., Guo, Z., Han K., Two types of trilocality of probability and correlation tensors, Entropy, 2023, 25, 273(1-27).

• [19] Ma, X.S., Bai, L.H., Guo, Z.H. Cao, H.X. Characterizing Bell nonlocality and EPR steerability with quantum magic squares, Quantum Inf Process. 2022, 21: 281.

• [20] Cheng-Yang Zhang, Pu Wang, Li-Hua Bai, Zhi-Hua Guo*, and Huai-Xin Cao*, Channel- based coherence of quantum states, Int. J. Quantum Inf. 2022, 2250014: 1-23. 

• [21] Ying Yang, Huaixin Cao, Digraph states and their neural network representations, Chin. Phys. B, 2022, 31: 060303.

• [22] Pu Wang, Zhihua Guo*, and Huaixin Cao*, Quantum incoherence based simultaneously on k bases, Entropy, 2022, 24: 659.

• [23] Lihua Bai, Shu Xiao, Zhihua Guo*, and Huaixin Cao*, Decompositions of n-partite nonsignaling correlation-type tensors with applications, Front. Phys. 2022, 10: 864452.

• [24] Ying Yang, Shu Xiao and Huaixin Cao，Nonlocality of a type of multi-star-shaped quantum networks, J. Phys. A: Math. Theor. 2022, 55: 025303 (29pp).

• [25] Xiao S., Bai L. H., Guo Z. H., Cao H. X., Quantum channels transforming Bell local states as unsteerable states, Quantum Engineering, 2021; 3: e74.  

• [26] Ying Yang and Huaixin Cao, Representations of hypergraph states with neural networks, Commun, Theor. Phys., 2021, 73: 105103.

• [27]  Huaixin Cao, Chengyang Zhang, Zhihua Guo, Some measurement-based characterizations of separability of bipartite states, Int. J. Theor. Phys., 2021, 60: 2558-2572.

• [28]  Mohamed Ismael Ali, Huaixin Cao, Partial steerability and nonlocality of multipartite quantum states, Int. J. Theor. Phys., 2021, 60: 2543-2557.

• [29]  Yuxing Du, Zhihua Guo, Huaixin Cao, Kanyuan Han, Chuan Yang, Masking quantum information encoded in pure　and mixed states, Int. J. Theor. Phys., 2021, 60: 2380-2399.

• [30]  QiaoWei Zhang, Zhihua Guo, Huaixin Cao, Mathematically proving Bell nonlocality motivated by the GHZ argument, IEEE Access, 2021, 9: 39550-3559.

• [31]  K. Y. Han, Z. H. Guo, H. X. Cao, Y. X. Du and C. Yang, Quantum multipartite maskers vs. quantum error-correcting codes, EPL, 2020, 131: 30005.

• [32]  余雪晴, 肖书, 曹怀信, POVM测量组合的联合可测性及其应用, 中国科学: 物理学 力学 天文学, 2020, 50 070001.

• [33]  Chengyang Zhang, Zhihua Guo and Huaixin Cao, Symmetry-like relation of relative entropy measure of quantum coherence, Entropy 2020, 22: 297.

• [34]  Z.Z. Dong, Y. Yang, and H.X. Cao, Detecting Bell nonlocality based on the Hardy paradox, Int. J. Theor. Phys. 2020, 59, 1644-1656.

• [35]  Y. Yang, H. X. Cao, and Z. J. Zhang, Neural network representations of quantum many-body states, Sci. China-Phys. Mech. Astron. 2020, 63: 210312.

• [36]  Ying Yang, Huai-Xin Cao, Hui-Xian Meng, Robustness of ʌ-entanglement of multipartite states, Quantum Inf. Pross. 2019, 18: 360.

• [37] Ying Yang, Chengyang Zhang and Huaixin Cao, Approximating ground states by neural network quantum states, Entropy, 2019, 21: 82.

• [38] Zhihua Guo, Huaixin　Cao, Creating quantum correlation from coherence via incoherent quantum operations, J. Phys. A: Math. Theor. 2019, 52: 265301.

• [39] 刘洁，杨莹，肖书，曹怀信，三体量子系统中AB→C导引的探测,中国科学: 物理学 力学 天文学, 2019, 49: 120301.

• [40] 黄永峰, 曹怀信，王文华，伪自伴量子系统的酉演化与绝热定理, 数学学报，2019，62(3): 469-478.

• [41] 肖书, 郭志华, 曹怀信，三体量子系统的量子导引方案，中国科学: 物理学 力学 天文学，2019，49: 010301.

• [42] Cao H X, Guo Z H, Characterizing Bell nonlocality and EPR steering, Sci. China-Phys. Mech. Astron., March, 2019, 62: 030311.

• [43] Chunming Zheng; Zhihua Guo; Huaixin Cao, Generalized steering robustness of quantum states, Int. J. Theor. Phys., 2018, 57: 1787-1801.

• [44] Wang W H, Cao H X, Chen Z L, et al. Quantitative conditions for time evolution in terms of the von Neumann equation. Sci China-Phys Mech Astron, 2018, 61: 070312.

• [45] Zi-Wei Li, Zhi-Hua Guo, Huai-Xin Cao, Some characterizations of EPR steering, Int. J. Theor. Phys., 2018, 57, 3285-3295.

• [46] Ying Yang, Huaixin Cao, Einstein-Podolsky-Rosen steering inequalities and applications, Entropy, 2018, 20: 683.

• [47] Ying Yang, Huaixin Cao, Separability criterions of multipartite states, Europ. Phys. J. D, 2018, 72: 143.

• [48] Ying Yang, Huai-Xin Cao, Liang Chen, Yongfeng Huang, Λ-Nonlocality of multipartite states and the related nonlocality inequalities, Int. J. Theor. Phys., 2018, 57: 1498-1515

• [49] 杨莹, 曹怀信, 构造纠缠目击的一般方法, 物理学报, 2018, 67: 070303

• [50] Meng Huixian, Cao Huaixin, Wang Wenhua, Fan Yajing, Chen Liang, A more efficient contextuality distillation protocol, Int. J. Theor. Phys., 2018, 57: 792-803.

• [51] H. X. Cao, von Neumann measurement-related matrices, Sci. China-Phys. Mech. Astron. 2017, 60(2): 020332.

• [52] J. Li, H.X. Cao, A new generalization of von Neumann relative entropy, Int. J. Theor. Phys., 2017, 56: 3405-3424.

• [53] Liang Chen, Huixian Meng, Huaixin Cao, Yongfeng Huang, Ying Yang, A note on markovian quantum dynamics，ANZIAM J., 2017, 58(3-4): 436-445.

• [54] Meng Hui-xian, Cao Huai-xin, Wang Wen-hua, Ya-jing Fan, Liang Chen, Quantifying contextuality of empirical models in terms of trace-distance, Int. J. Theor. Phys., 2017, 56: 1807-1830.

• [55] Qian Feng, Zhihua Guo, Huaixin Cao, Witness for non-quasi maximally entangled states, Int. J. Theor. Phys., 2016, 55: 5202-5215.

• [56] Huixian Meng, Huaixin Cao, Wenhua Wang, Yajing Fan and Liang Chen, Generalized robustness of contextuality, Entropy, 2016, 18: 297.

• [57] Yajing Fan, Huaixin Cao, Quantifying correlations via the Wigner-Yanase-Dyson skew information, Int. J. Theor. Phys., 2016, 55: 3833-3858.

• [58] Yajing Fan, Huaixin Cao, Huixian Meng, Liang Chen, An uncertainty relation in terms of generalized metric adjusted skew information and correlation measure, Quantum Inf. Process., 2016, 15: 5089-5106.

• [59] Zhihua Guo, Huaixin Cao and Shixian Qu, Robustness of quantum correlations against linear noise, J. Phys. A: Math. Theor., 2016, 49: 195301.

• [60] H. X. Meng, H. X. Cao, W. H. Wang, L. Chen, and Y. J. Fan, Continuity of the robustness of contextuality of empirical models, Sci. China-Phys. Mech. Astron., 2016, 59: 100311.

• [61] H. X. Meng, H. X. Cao and W. H. Wang, The robustness of contextuality and the contextuality cost of empirical models, Sci. China-Phys. Mech. Astron., 2016, 59: 640303.

• [62] Ya-Jing Fan, Huai-Xin Cao, Monotonicity of the unified quantum (r, s)-entropy and (r, s)-mutual information, Quantum Inf. Procss., 2015, 14: 4537-4555.

• [63] Liang Chen, Huai-Xin Cao, Hui-Xian Meng, Generalized duality quantum computers acting on mixed states, Quantum Inf. Process., 2015, 14: 4351-4360.

• [64] Qian Li, Huaixin Cao, Hongke Du, A generalization of Schrödinger’s uncertainty relation described by the Wigner-Yanase skew information, Quantum Inf. Process., 2015, 14: 1513-1522.

• [65] Huai-Xin Cao, Zheng-Li Chen, Li Li, Bao-Min Yu, An applicable approximation method and its application，Acta Math. Sci., 2015, 35B: 1189-1202.

• [66] Zhihua Guo, Huaixin Cao, Shixian Qu, Structures of three types of local quantum channels based on quantum correlations, Found. Phys., 2015, 45: 355-369.

• [67] ZhiHua Guo, HuaiXin Cao, ShiXian Qu，Existence and construction of simultaneous cloning machines for mixed states，Sci. China-Phys., Mech. & Astron., 2015, 58: 040302.

• [68] Wenhua Wang, Huaixin Cao, Ling Lu, Baomin Yu, An upper bound for the generalized adiabatic approximation error with a superposition initial state, Sci. China -Phys., Mech.& Astron., 2015, 58: 030001.

• [69] Huaixin Cao, Dianhui Wang, Feilong Cao, An adiabatic quantum algorithm and its application to DNA motif model discovery, Information Sciences, 2015, 296: 275-281.

• [70] Huaixin Cao, Feilong Cao, Dianhui Wang, Quantum artificial neural networks with applications, Information Sciences, 2015, 290: 1-6.

• [71] Guo Z. H., Cao H. X., Qu S. X., Partial correlations in multipartite quantum systems, Information Sciences, 2014, 289: 262-272.

• [72] 杨莹, 曹怀信, 李静, 两类可观测量的Bell不等式, 数学学报, 2014, 57: 473-484

• [73] Huaixin Cao, Juncheng Yin, Zhihua Guo, Zhengli Chen, Local Lipschitz-α mappings and applications to sublinear expectations, Acta Math. Sinica, English Series, 2014, 30: 844-860.

• [74] Guo Zhihua, Cao Huaixin, Lu Ling, Adiabatic approximation in PT-symmetric quantum mechanics, Sci China-Phys Mech Astron, 2014, 57: 1835-1839.

• [75] Yu BaoMin, Cao HuaiXin, Guo ZhiHua, Wang WenHua, Computable upper bounds for the adiabatic approximation errors, Sci China-Phys Mech Astron, 2014, 57: 2031-2038.

• [76] Wang WenHua, Guo ZhiHua, Cao HuaiXin, An upper bound for the adiabatic approximation error, Sci China-Phys Mech Astron, 2014, 57: 218-224.

• [77] Wang WenHua, Cao HuaiXin, Guo ZhiHua, Yu Bao-Min, Separability of solutions to a Schrodinger equation, Commun. Theor. Phys. 2014, 62: 205-209.

• [78] 曹怀信, 郭志华, 陈峥立, 张坤利, 效应代数的表示理论, 中国科学A, 2013, 43:  835-846.

• [79] Wu Guochang, Huaixin Cao, Some characterizations of the wave packet frames in higher dimensions, Applied Mechanics and Materials, 2013, 427-429: 1528-1531.

• [80] Huai-Xin Cao, Zhi-Hua Guo, Zheng-Li Chen, CPT-Frames for non-Hermitian Hamiltonians, Commun. Theor. Phys. 2013, 60: 328-334.

• [81] 张坤利, 曹怀信, 郭志华, 效应代数上态的存在性, 数学学报, 2013, 56: 301-310. I

• [82] Wen-Hua Wang, Huai-Xin Cao, An improved multiparty quantum secret sharing with Bell states and Bell measurement, Int. J. Theor. Phys., 2013, 52: 2099-2111.

• [83] Huai-Xin Cao, Zhi-Hua Guo, Zheng-Li Chen, Wen-Hua Wang, Quantitative sufficient conditions for adiabatic approximation, Sci China-Phys Mech Astron, 2013, 56:  1401-1407.

• [84] Huaixin Cao, Guilu Long, Zhihua Guo, Zhengli Chen, Mathematical theory of generalized duality quantum computers acting on vector-states, Int. J. Theor. Phys., 2013, 52: 1751-1767.

• [85] Zhihua Guo and Huaixin Cao, Local quantum channels preserving classical correlations, J. Phys. A: Math. Theor., 2013, 46: 065303.

• [86] Zhihua Guo, Huaixin Cao, A classification of correlations of tripartite mixed states, Int. J. Theor. Phys., 2013, 52:1768-1779.

• [87] H. X. Cao, Z. L. Chen, Z. H. Guo, F. G. Ren, Complex duality quantum computers acting on pure and mixed states, Sci. China G, 2012, 55(12): 2452-2462.

• [88] Zhihua Guo, Huaixin Cao, Zhengli Chen, Distinguishing classical correlations from quantum correlations, J. Phys. A: Math. Theor. 2012, 45: 145301.

• [89] Zhihua Guo, Huaixin Cao, Existence and construction of a quantum channel with given inputs and outputs, Chinese Sci Bull., 2012, 57(33):4346-4350.

• [90] 银俊成, 曹怀信, C*-代数上完全正映射的刻画, 应用数学, 2012, 25(2): 357-362.

• [91] 曹怀信, 陈峥立, 郭志华, 张巧卫，效应代数的表示，中国科学A, 2011, 41: 279-286.

• [92] 张邺, 曹怀信, 郭志华, 有限维张量积空间上的强可分算子, 数学学报, 2011, 54: 959-972.

• [93] Guo Z H, Cao H X, Chen Z L, Yin Jun-Cheng, Operational properties and matrix representations of quantum measures, Chinese Sci. Bull., 2011, 56: 1671-1678.

出版教材专著

• 1. 曹怀信, 张建华, 陈峥立, 郭志华,《An Introduction to Complex Analysis》, 科学出版社，2019（普通高等教育“十三五”规划教材）；
  

• 2. 曹怀信, 张建华, 陈峥立, 郭志华, 《实变函数与泛函分析》，科学出版社，2017（普通高等教育“十三五”规划教材）；

• 3. 曹怀信，郭志华，《小波分析基础》, 科学出版社，2016 ；

• 4. 曹怀信(总主编)，高俊勇(主编)，《高等数学》(上、下册)，吉林大学出版社，2009。

• 5. 曹怀信(主编)，吴保卫，张建华，张永锋，胡洪平，陈峥立，周焕芹，《实变函数引论》(第二版)，伟德betvlctor最新版本出版总社有限公司，2008；

• 6. 曹怀信(主编)，张建华，陈峥立，魏广生, 郭志华,《泛函分析引论》，伟德betvlctor最新版本出版总社有限公司，2006；

• 7. 曹怀信(主编)，张建华，陈峥立，任  芳，《An Introduction to Complex Analysis》，伟德betvlctor最新版本出版总社有限公司，2006。

教育科研项目

• 1. 国家自然科学基金资助项目: 基于量子信息论的算子论与算子代数研究(10571113, 2006.01-2008.12, 26万), 项目主持人;
  

• 2. 国家自然科学基金资助项目: 量子态分类与量子绝热逼近中的算子论方法(11371012, 2014.01-2017.12.30，62万元, 主持人）；

• 3. 国家自然科学基金资助项目: 神经网络量子态的构建及其量子关联性研究(11871318, 2019.01-2022.12，54万元, 主持人)。

教育科研奖励

• 1. 2020年获陕西省高等教育教学成果奖（二等奖，主持人）；
  

• 2. 2016年获第十届陕西省高等学校教学名师奖；

• 3. 2016年被评为陕西省师德先进个人；

• 4. 2016年获2015年度 明德教师奖；

• 5. 2015年获陕西省人民政府教学成果奖（二等，第四人）；

• 6. 2010年获宝钢优秀教师奖；

• 7. 科研成果《泛函分析中若干问题的研究》获2011年陕西高等学校科学技术奖(一等，完成人：曹怀信、张建华、杜鸿科、吴保卫、吉国兴、陈清江、陈峥立) ；

• 8. 科研成果《泛函分析中若干问题的研究》获2012年陕西省科学技术奖（三等，完成人：曹怀信、张建华、杜鸿科、吴保卫、吉国兴、陈清江、陈峥立）；

• 9. 科研成果《基于算子理论的量子信息理论研究》获2017年陕西高等学校科学技术奖（二等，完成人：曹怀信，郭志华，陈峥立，王文华，张邺）。

讲授课程

本科生：《数学分析》《复变函数》《实变函数》

研究生：《泛函分析》《现代分析》《量子信息》