时间：2020-07-11 | 来源：
姓名：齐霄霏，女，理学博士，山西大学数学科学学院教授，博导。研究方向为算子理论与算子代数、量子信息、量子机器学习。长期从事算子理论与算子代数上的Lie结构性质的研究，并与量子信息研究紧密结合，利用算子理论与算子代数的理论、方法和技巧，研究解决量子计算与量子信息中提出的相关问题。近年来尝试把算子理论、算子代数与量子信息、量子计算、机器学习融合，利用矩阵理论、算子理论、算子代数研究的理论和方法作为工具，探讨量子机器学习中的量子算法等问题。已出版学术专著1部，在国内外学术期刊发表学术论文百余篇。主持或完成国家自然科学基金项目4项、山西省优秀青年基金项目1项、山西省青年基金项目1项。获山西省科学技术奖自然科学类二等奖1项。
电子邮箱：qixf1981@sxu.edu.cn
通信地址：山西省太原市坞城路92号山西大学数学科学学院
教育经历
2006年9月-2009年6月，山西大学， 博士，指导教师侯晋川教授
2003年9月-2006年6月，山西师范大学，硕士，指导教师侯晋川教授
1999年9月-2003年6月，山西师范大学，学士
工作经历
2016年12月-至今， 山西大学， 教授
2014年8月-2015年8月， 加拿大滑铁卢大学，访问学者
2011年11月-2016年11月，山西大学， 副教授
2009年7月-2011年10月， 山西大学， 讲师
科研项目
1. 国家自然科学基金面上项目(12171290)：量子网络的非局域性、纠缠、操控性及算子代数上的相关保持问题研究，51万，2022年1月-2025年12月。
2. 山西省留学回国人员科技活动择优资助项目(20200011)：基于算子理论与机器学习的量子态关联性研究，5万，2020年9月-2022年9月。
3. 山西省优秀青年基金项目(201701D211001)：算子代数上保持k-交换性的映射及量子态相干性研究，15万，2017年9月-2019年12月。
4. 国家自然科学基金面上项目(11671006)：算子代数的Lie结构及高斯态的纠缠、EPR操控研究，48万，2017年1月-2020年12月。
5. 国家自然科学基金数学天元基金项目(11026161)： 算子代数上的导子和可乘映射, 3万, 2011年1月-2011年12月。
6. 国家自然科学基金青年基金(11101250)：算子代数上的导子、可乘映射及其在量子逻辑中的应用, 23万，2012年1月—2014年12月。
7. 山西省青年研究基金(2012021004)：算子乘积、张量积以及在量子信息理论中的应用, 4万，2012年1月-2014年12月。
8. 国家自然科学基金面上项目(11171249)：算子空间上一般保持问题及在量子信息理论中应用研究，50 万，2012年1月-2015年12月（第二完成人，合作单位负责人）。
荣誉和获奖
1. 2020年山西大学十佳青年教师
2. 2018年入选三晋英才青年优秀人才
3. 2015年山西省高校131领军人才工程-优秀中青年拔尖创新人才
4. 2014年山西省高等学校优秀青年学术带头人
5. 2014年度山西省科学技术奖自然科学类二等奖，排名第二。
学术兼职
1. 中国高等教育学会教育数学专业委员会常务理事
2. 山西省青年科技人才协会理事
3. 中国计算机学会量子计算专业组执行委员
4. 山西大学学报自然科学版编委
教学
《数学分析》、《泛函分析》、《实变函数与泛函分析基础》、《高等数学A》
学术论文
1. Xiaofei Qi, Shaoxing Sun, Jinchuan Hou, Properties and preservers of numerical radius on skew Lie products of operators, Linear Algebra and its Applications, 635 (2022), 24-68.
2. 齐霄霏，杨丽华，一类树型量子网络的非局域性, 山西大学学报 (自然科学版) 44(5) (2021), 854-861.
3. Liang Liu, Jinchuan Hou, Xiaofei Qi, A Computable Gaussian Quantum Correlation for Continuous-Variable Systems, Entropy, 23 (2021), 1190.
4. Lihua Yang, Xiaofei Qi, Jinchuan Hou, Nonlocal correlations in the tree-tensor-network configuration, Physical Review A, 104 (2021), 042405.
5. Xiaofei Qi, Liqin Feng, Nonadditive commuting maps of unital rings with idempotents, Rocky Montain Journal of Mathematics, 51 (2021), 989-1000.
6. Xiaofei Qi, Ting Zhang, Characterizations of von Neumann entropy and Tsallis p-entropy on quantum states, International Journal of Theoretical Physics, 60 (2021), 771-780.
7. Ting Zhang, Xiaofei Qi, Sandwiched Renyi relative entropy on density operators, International Journal of Quantum Information, 18 (8) (2020), 2150003.
8. Huimin Chen, Xiaofei Qi, Multiplicative Jordan derivations on triangular n-matrix rings, ScienceAsia, 46 (2020), 738-745.
9. Ting Zhang, Jinchuan Hou, Xiaofei Qi, Additive maps preserving r-nilpotent perturbation of scalars on B(H), Annals of Functional Analysis, 11 (2020), 848-865.
10. Xiaofei Qi, Zhiling Guo, Ting Zhang, Characterizing Jordan n-Derivations of Unital Rings Containing Idempotents, Bulletin of the Iranian Mathematical Society, 46(2020), 1639-1658.
11. 齐霄霏，冯小雪，von Neumann代数上的局部可乘Lie n-导子，数学学报，63(4) (2020), 349-366.
12. 贾娟, 齐霄霏, 算子代数上强保持k-斜Jordan乘积的映射, 吉林大学学报理学版, 58 (4) (2020), 819-824.
13. 张婷, 齐霄霏, 素代数上完全保k-交换性的映射, 山西大学学报自然科学版，43(1) (2020), 38-43.
14. Liang Liu, Xiaofei Qi, Jinchuan Hou, Fidelity-based unitary operation-induced quantum correlation for continuous-variable systems, International Journal of Quantum Information, 17(4) (2019), 1950035 (23 pages).
15. Yangyang Wang, Xiaofei Qi, Jinchuan Hou, Ruifen Ma, Cohering power and decohering power of Gaussian unitary operations, Quantum Information and Computation, 19(7&8) (2019), 0575-0586.
16. Xiaofei Qi, Miaomiao Wang, Local characterization of Jordan *-derivations on B(H), Publ. Math. Debrecen, 94 (2019), 421-434.
17. Xiaoxue Feng, Xiaofei Qi, Nonlinear Generalized Lie n-Derivations on von Neumann Algebras, Bulletin of the Iranian Mathematical Society, 45(2)(2019), 569–581.
18. 王洋洋，齐霄霏，高斯态的量子相干度量，山西大学学报自然科学版，42(1) (2019), 83-88.
19. Liang Liu, Jinchuan Hou, Xiaofei Qi, Quantum Correlation Based on Uhlmann Fidelity for Gaussian States, Entropy, 21(6) (2019).
20. 齐霄霏，王胜利，素环上强保持2-Jordan乘积的映射，数学学报，61(5)(2018), 801-810.
21. 马瑞芬，齐霄霏，连续变量系统高斯态的量子关联，山西大学学报自然科学版，41(4) (2018), 679-684.
22. Jinchuan Hou, Xiaofei Qi, Strong k-commutativity preservers on complex standard operator algebras, Linear and Multilinear Algebra, 66 (5) (2018), 902-918.
23. Xiaofei Qi, Yazhou Zhang, k-skew Lie products on prime rings with involution, Communications in Algebra, 46(3) (2018), 1001-1010.
24. Ruifen Ma, Jinchuan Hou, Xiaofei Qi, Yangyang Wang, Quantum correlations for bipartite continuous-variable systems, Quantum Inf Process, 17 (2018), 98.
25. Ruifen Ma, Xiaofei Q*, Jinchuan Hou, Quantifying Discriminating Strength for Gaussian States, Commun. Theor. Phys., 70 (2018), 127-131.
26. Yangyang Wang, Xiaofei Qi, Jinchuan Hou, Nonclassicality by Local Gaussian Unitary Operations for Gaussian States, Entropy, 20(2018), 266.
27. Shuanping Du, Zhaofang Bai, Xiaofei Qi, ERRATUM TO “COHERENCE MEASURES AND OPTIMAL CONVERSION FOR COHERENT STATES”[ QUANTUM INFORMATION AND COPUTATION, Vol. 15(2015), 1307-1316], Quantum Information and Computation, 17(5&6) (2017), 0503-0505.
28. 齐霄霏，王胜利，环上强保持k-Jordan乘积的映射, 山西大学学报, 61(2017), 1-10.
29. Jiyao Chen, zhengfeng Ji, Zhengxin Liu, Xiaofei Qi, et.al, Physical origins of ruled surfaces on the reduced density matrices geometry, SCIENCE CHINA Physics, Mechanics & Astronomy, 60(2) (2017), 020311.
30. Ruifen Ma, Jinchuan Hou, Xiaofei Qi, Measurement-induced Nonlocality for Gaussian States, Int J Theor Phys, 56(2017), 1132-1140.
31. Xiaofei Qi, Lie n-derivations on J-subspace lattice algebras, Proc. Indian Acad. Sci. (Math. Sci.), (2017), 1-9.
32. Yangyang Wang, Jinchuan Hou, Xiaofei Qi, Quantum correlation based on weak measurements, International Journal of Quantum Information, 15(6)(2017) , 1750041.
33. Xiaofei Qi, Jinchuan Hou, Strong 3-commutativity preserving maps on prime rings, Linear and Multilinear Algebra, 65(11) (2017), 2153-2169.
34. Fangjuan Zhang, Xiaofei Qi, Jianhua Zhang, Nonlinear *-Lie higher derivations on factor von Neumann algebras, Bull. Iranian Math. Soc., 42 (2016), 659-678.
35. Xiaofei Qi, k-power centralizing and k-power skew centralizing maps on triangular rings, Bull. Iranian Math. Soc., 42 (2016), 539-554.
36. Xiaofei Qi, Strong 2-commutativity preserving maps on prime rings, Publ. Math. Debrecen, 88 (2016), 119-129.
37. Xiaofei Qi, Jinchuan Hou, Nonlinear entanglement witnesses based on continuous-variable local orthogonal observables for bipartite systems, Quantum Information Processing, 15 (2016), 741–759.
38. Xiaofei Qi*, Feifei Zhang, Multiplicative Jordan *-derivations on rings with involution, Linear and multilinear algebra, 64(6) (2016), 1145-1162.
39. Shuanping Du, Zhaofang Bai, Xiaofei Qi, Coherence measures and optimal conversion for coherent states, Quantum Information and Computation, 15(15&16) (2015), 1307–1316.
40. 齐霄霏，巩琳，环上可加左导子的刻画， 数学学报，58(6) (2015), 1021-1034.
41. Xiaofei Qi*, Li Wang, Sub-fidelity and super-fidelity between Gaussian states, Commu. In Theorical Physics, 64 (03) (2015), 305-308.
42. Jinchuan Hou, Chi-Kwong Li, Xiaofei Qi*, Numerical Range of Lie Product of Operators, Integr. Equ. Oper. Theory, 83 (2015), 497-516.
43. Xiaofei Qi*, Jinchuan Hou, Full-derivable points of J-subspace lattice algebras, Rocky Mountain Journal of Mathematics, 45 (2015), 345-359.
44. Xiaofei Qi, Jinchuan Hou, Characterization of k-commuting additive maps on rings, Linear Algebra and its Applications, 468 (2015), 48–62.
45. Xiaofei Qi, Jinchuan Hou, Optimality of entanglement witnesses constructed from arbitrary permutations, Quantum Inf. Process., 14 (2015), 2499–2515.
46. Wen Zhang, Jinchuan Hou, Xiaofei Qi, Maps Preserving Peripheral Spectrum of Generalized Jordan Products of Operators, Acta Mathematica Sinica, English Series, 31 (2015), 953–972.
47. Xiaofei Qi, Characterizing Lie n-derivations for reflexive algebras, Linear and Multilinear Algebra, 63 (2015), 1693–1706.
48. Xiaofei Qi, Jinchuan Hou, Indecomposability of entanglement witnesses constructed from any permutations, Quantum Information and Computation, 15(5&6) (2015), 0478–0488.
49. 齐霄霏，侯晋川,崔建莲,保持斜\xi-Lie 零积的可加映射, 中国科学: 数学, 45(2) (2015), 151-165.
50. Meiyan Jiao, Xiaofei Qi, Additive maps preserving commutativity up to a factor on nest algebras, Linear and Multilinear Algebra, 63 (2015), 1242–1256.
51. Xiaofei Qi, Jia Ji, Jinchuan Hou, Characterization of additive maps \xi-Lie derivable at zero on von Neumann Algebras, Publ. Math. Debrecen 86/1-2 (2015), 99-117.
52. Jinchuan Hou, Chi-Kwong Li, Y. T. Poon, Xiaofei Qi, Raymond, A new criterion and a special class of k-positive maps, Linear Algebra and its Applications, 470 (2015), 51–69.
53. Li Wang, Jinchuan Hou, Xiaofei Qi, Fidelity and entanglement fidelity for infinite-dimensional quantum systems, J. Phys. A: Math. Theor 47 (2014), 335304.
54. Xiaofei Qi, Characterization of Multiplicative Lie Triple Derivations on Rings, Abstract and Applied Analysis, (2014), 739730.
55. 齐霄霏，J-子空间格代数上中心化子和广义导子的刻画，数学物理学报, 34A(2) (2014), 463-472.
56. Xiaofei Qi, Characterization of (generalized) Lie derivations on J-subspace lattice algebras by local action, Aequationes Mathematicae, 87(2014), 53-69.
57. Jianlian Cui, Qiting Li, Jinchuan Hou, Xiaofei Qi, Some unitary similarity invariant set preservers of skew Lie products, Linear Algebra and its Applications, 457 (2014), 76-92.
58. Jia Ji, Wen Zhang, Xiaofei Qi, A Characterization of additive derivations on von Neumann Algebras, Journal of Mathematical Sciences: Advances and Applications, 25(2014), 1-12.
59. Xiaofei Qi, Jinchuan Hou, Juan Deng, Lie ring isomorphisms between nest algebras on Banach spaces, Journal of Functional Analysis, 266 (2014), 4266-4292.
60. Yanfang Zhang, Jinchuan Hou, Xiaofei Qi, Characterizing derivations for any nest algebras on Banach spaces by their behaviors at an injective operator, Linear Algebra and its Applications, 449 (2014), 312-333.
61. 邓娟，侯晋川，齐霄霏，Banach空间上一类套代数的李环同构，太原理工大学学报, 45(1) (2014), 133-137.
62. Xiaofei Qi, Characterizing lie(-lie)derivations on triangular algebras by local actions, Electronic Journal of Linear Algebra, 26 (2013), 816-835.
63. Xiaofei Qi, Jia Ji, Characterizing Derivations on Von Neumann Algebras by Local Actions, Journal of Function Spaces and Applications, 2013(2013), 1-11.
64. Xiaofei Qi, Jinchuan Hou,Optimality of a Class of Entanglement Witnesses for 3x3 Systems, International Journal of Theorical Physics, 52(10) (2013), 3474-3485.
65. 齐霄霏，环与算子代数上中心化子的刻画，数学学报，56(4) (2013)，459-468.
66. Xiaofei Qi, Jinchuan Hou, Characterizing Centralizers and Generalized Derivations on Triangular Algebras by Acting on Zero Product, Acta Math. Sin., 29(7) (2013), 1245–1256.
67. Jinchuan Hou, Xiaofei Qi, Linear maps preserving separability of pure states, Linear Algebra and its Applications, 439 (2013), 1245–1257.
68. 齐霄霏, Additive Biderivations and Centralizing Maps on Nest Algebras, Journal of Mathematical Research with Applications, 2(2013), 246-252.
69. Xiaofei Qi, Characterization of Lie Higher Derivations on Triangular Algebras, Acta Math. Sin., 29(5) (2013), 1007-1018.
70. G. Dolinar, J. C. Hou, B. Kuzma, X. F. Qi, Spectrum nonincreasing maps on matrices, Linear Algebra and its Applications, 438 (2013), 3504–3510.
71. Xiaofei Qi, Jinchuan Hou, Additive Lie ($\xi$-Lie) Derivations and Generalized Lie ($\xi$-Lie) Derivations on Prime Algebras, Acta Math. Sin., English Series, 29(2) (2013), 383-392.
72. Xiaofei Qi, Jinchuan Hou, Characterization of Lie derivations on von Neumann algebras, Linear Algebra and its Applications, 438(1)(2013), 533-548.
73. G. Dolinar, Kan He, B. Kuzma, Xiaofei Qi, A note on Jordan derivable linear maps, Operator and matrices, 7 (1) (2013), 159–165.
74. Xiaofei Qi, Jinchuan Hou, Strong skew commutativity preserving maps on von Neumann algebras, J. Math. Anal. Appl. 397(1) (2013), 362-370.
75. Jinchuan Hou,Xiaofei Qi, Fidelity of states in infinite dimensional quantum systems, SCIENCE CHINA Physics,Mechanics & Astronomy, 55(10) (2012), 1820-1827.
76. 王丽, 齐霄霏, 套代数上广义Jordan导子的刻画, 太原理工大学学报, 43(3)(2012), 287-290.
77. Xiaofei Qi, Characterization of Jordan derivations on J-subspace lattice algebras，Studia Math, 210(1) (2012),17-33.
78. Xiaofei Qi, Jinchuan Hou, Detecting entanglement of states by entries of their density matrices, International Journal of Theorical Physics, 51(2012), 2003-2014.
79. Xiaofei Qi, Jinchuan Hou, Jordan triple derivations on J-subspace lattice algebras, Acta Math. Sin., 28(2) (2012), 417-424.
80. Xiaofei Qi, Jinchuan Hou, Strong commutativity preserving maps on triangular rings,Operator and matrices, 6(1) (2012), 147-158.
81. Xiaofei Qi, Jinchuan Hou, Characterization of optimal entanglement witnesses, PHYSICAL REVIEW A 85(2) (2012), 022334.
82. Xiaofei Qi, Jinchuan Hou, Generalized derivations satisfying some equations on standard operator algebras, 数学进展, 40(6) (2011), 717-722.
83. Xiaofei Qi, Jinchuan Hou, Characterization of Lie multiplicative isomorphisms between nest algebras, Science China: Math, 54(11) (2011), 2453-2462.
84. Xiaofei Qi, Jinchuan Hou, Characterization of Lie derivations on prime rings, Communication in Algebras, 39(10) (2011), 3824-3835.
85. Xiaofei Qi, Jianlian Cui, Jinchuan Hou, Characterizing additive ξ-Lie derivations of prime algebras by ξ-Lie zero products, Lin. Alg. Appl.，434(3) (2011), 669-682.
86. Xiaofei Qi, Jinchuan Hou, Positive finite rank elementary operators and characterizing entanglement of states, Journal of Physics A: Mathematical and Theoretical, 44(21) (2011), 215305.
87. Xiaofei Qi, Jinchuan Hou, Generalized skew derivations on nest algebras characterized by acting on zero products, Publ. Math. Debrecen, 78(2) (2011), 457-468.
88. Yu Guo, Xiaofei Qi, Jinchuan Hou，Sufficient and necessary conditions of separability for bipartite pure states in infinite-dimensional systems, Chinese Science Bulletin, 56(9) (2011), 840-846.
89. Xiaofei Qi, Jinchuan Hou, Additivity of Lie multiplicative maps on triangular Algebras, Lin. Multi. Alg., 59(4) (2011), 391-397.
90. Jinchuan Hou, Xiaofei Qi, Constructing entanglement witnesses for infinite dimensional system, Phys. Rev. A, 81(6) (2010), 062351.
91. Xiaofei Qi, Jinchuan Hou, Characterizations of derivations of Banach space nest algebras: all-derivable points, Lin. Alg. Appl., 432(12) (2010), 3183–3200.
92. Xiaofei Qi, Jinchuan Hou, Linear maps Lie derivable at zero on J-subspace lattice algebras, Studia Math,197(2) (2010), 157-169.
93. Xiaofei Qi, Jinchuan Hou, Characterization of ξ-Lie multiplicative isomorphisms, Operators and Matrics，4(3) (2010), 417-429.
94. Xiaofei Qi, Jinchuan Hou, Nonlinear strong commutativity preserving maps on prime rings, Communication in Algebras, 38(8) (2010), 2790-2796.
95. 齐霄霏,杜栓平,侯晋川, 自伴算子空间上满足[Φ(A2), Φ(A)]= 0 的可加满射, 数学物理学报, 30(12) (2010), 1686-1692.
96. Jinchuan Hou, Kan He, Xiaofei Qi, Characterizing sequential isomorphisms on Hilbert space effect algebras, J. Phys. A: Math. Theor.,43(31) (2010), 315206.
97. Xiaofei Qi, Jinchuan Hou, Lie higher derivations on nest algebras, Comm. Math. Res., 26(2) (2010), 131-143.
98. Xiaofei Qi, Jinchuan Hou, Characterization of nonlinear Lie derivations, Proceedings of the Ninth International Conference on Matrix Theory and its Applications, Shanghai, China, (3) (July 18-22, 2010), 329-331.
99. Xiaofei Qi, Jinchuan Hou, 套代数上高阶导子的刻画, 数学研究，2009年第3期。42(3) (2009), 295 -304.
100.Xiaofei Qi, Jinchuan Hou, \xi-Lie multiplicative maps on triangular algebras, Acta Mathematica Sinica (in Chinese), 3 (2009), 595-600.
101.Xiaofei Qi, Jinchuan Hou, Additive Lie (\xi-Lie) Derivations and Generalized Lie (\xi-Lie) Derivations on Nest Algebras, Lin. Alg. Appl., 431(5-7)(2009), 843-854.
102.Jinchuan Hou, Xiaofei Qi, Generalized Jordan derivation on nest algebras, Lin. Alg. Appl., 430 (2009), 1479-1485.