Research interest:

·    Quantum information and control

·     Quantum algorithms

·    Sampled-data control and networked control systems

·    Tensor control and optimization

 

2025 IEEE International Conference on Quantum Control, Computing and Learning (IEEE qCCL2025), 25 – 28 June 2025, Hong Kong

https://events.polyu.edu.hk/IEEE_qCCL2025/

 

Selected Publications (Google scholar)

Paper under Review

1.     L. Gu, X. Wang, H. W. Joseph Lee, and G. Zhang (corresponding author), ``Quantum Higher Order Singular Value Decomposition,'' arXiv:1908.00719v2 [quant-ph].

2.     H Ding, NH Amini, JE Gough, G Zhang, On the non-Markovian quantum control dynamics, arXiv preprint arXiv:2408.09637, 2024. 

3.     S Cui, Q Zhao, G Zhang, H Jardón-Kojakhmetov, M Cao, On the analysis of a higher-order Lotka-Volterra model: an application of S-tensors and the polynomial complementarity problem, arXiv preprint arXiv:2405.18333, 2024.

4.     X Dong, X Cao, WL Li, G Zhang, Z Peng, RB Wu, The Shaping of Flying Qubits based on Quantum Optimal Control Theory, arXiv preprint arXiv:2404.09487, 2024.

5.     Y Wang, Y Wei, G Zhang, SY Chang, Algebraic Riccati Tensor Equations with Applications in Multilinear Control Systems, arXiv preprint arXiv:2402.13491, 2024.

6.     H Shi, G Zhang, M Zhang, A quantum algorithm for the Kalman filter using block encoding, arXiv preprint arXiv:2404.04554, 2024.

7.     S Cui, G Zhang, H Jardón-Kojakhmetov, M Cao, On Metzler positive systems on hypergraphs, arXiv preprint arXiv:2401.03652, 2024.

8.     H Ding, G. Zhang, M.T. Cheng, G. Cai, Quantum feedback control of a two-atom network closed by a semi-infinite waveguide, arXiv preprint arXiv:2306.06373.

9.     Z. Dong, G. Zhang, H.J. Lee, and I.R. Petersen, Linear quantum systems: poles, zeros, invertibility and sensitivity, arXiv preprint arXiv:2410.00014.

Quantum Information, Quantum Algorithms

1.     Xiaozhen Ge, Lijun Liu, Yong Wang, Yu Xiang, Guofeng Zhang, Li Li, and Shuming Chen, Faithful geometric measures for genuine tripartite entanglement, Physical Review A, vol. 110, paper no. L010402,  2024.

2.     Hongbin Song, Guofeng Zhang, and Hidehiro Yonezawa, ``Strong quantum entanglement based on two-mode photon-subtracted squeezed vacuum states,'' Physical Review A, 108, 052420, 2023.

3.     Tong Dou, Guofeng Zhang, and Wei Cui, ``Efficient quantum feature extraction for CNN-based learning,''  Journal of Franklin Institute, vol. 360, pp. 7438-7456, 2023.

4.     Yu Pan, Yifan Tong, Shibei Xue, and Guofeng Zhang, ``Efficient depth selection for the implementation of noisy quantum approximate optimization algorithm,'' Journal of Franklin Institute,  vol. 359,  pp. 11273-11287, 2022.

5.     Hongbin Song, Guofeng Zhang, Xiaoqiang Wang, Hidehiro Yonezawa, and Kaiquan Fan, ``Amplification of optical Schrodinger cat states with an implementation protocol based on a frequency comb,'' Physical Review A, 105, 043713, 2022.

6.     Yiwei Chen, Yu Pan (corresponding author), Guofeng Zhang (corresponding author), and Shuming Cheng (corresponding author), ``Detecting quantum entanglement with unsupervised learning,'' Quantum Science and Technology, 7, 015005, 2022

7.     Xiaoqiang Wang, Lejia Gu, Heung-wing Joseph Lee,  and Guofeng Zhang  (corresponding author), ``Quantum tensor singular value decomposition,'' Journal of Physics Communications,  5(7):075001, 2021.

8.     Xiaoqiang Wang, Lejia Gu, Heung-wing Joseph Lee,  and Guofeng Zhang  (corresponding author), ``Quantum context-aware recommendation systems based on tensor singular value decomposition,'' Quantum Information Processing, 20(5): 190, 2021.

9.     M. Zhang, G. Ni, and G. Zhang, ``Iterative methods for computing U-eigenvalues of non-symmetric complex tensors with application in quantum entanglement,'' Computational Optimization and Applications, 75, 779-798, 2020.

10.  L. Gu, X. Wang, and G. Zhang  (corresponding author), ``Quantum Higher Order Singular Value Decomposition,'' 2019 IEEE International Conference on Systems, Man, and Cybernetics (SMC),  Bari, Italy, 6-9m October, 2019.

11.  M. Che, Y. Wei, L. Qi, and G. Zhang,  ``Geometric Measures of Entanglement in Multipartite Pure States via Complex-Valued Neural Networks,'' Neurocomputing, 313, 25-38, 2018.

12.  L. Qi, G. Zhang, and G. Ni, ``How entangled can a multi-party system possibly be?'' Physics Letters A, 382, 1465-1471, 2018.

13.  L. Qi, G. Zhang, D. Braun, F. Bohnet-Waldraff, O. Giraud, ``Regularly Decomposable Tensors and Classical Spin States,'' Communications in Mathematical Sciences, 15(6), 1651-1665, 2017.

14.  S. Hu, L. Qi, and G. Zhang  (corresponding author), ``Computing the geometric measure of entanglement of multipartite pure states by means of non-negative tensors,'' Physical Review A, 93, 012304, 2016.

15.  S. Hu, L. Qi, Y. Song, and G. Zhang (corresponding author), ``Geometric Measure of Quantum Entanglement for Multipartite Mixed States,'' International Journal of Software and Informatics, Vol.8, No. 3-4, 317-326, 2014.

 

Quantum Control

1.     Haijin Ding and Guofeng Zhang, ``Quantum coherent feedback control of an N-level atom with multiple excitations,’’ arXiv preprint arXiv:2306.07787. Accepted by IEEE Transactions on Automatic Control,  2024 (Full Paper).

2.     Haijin Ding, Nina H. Amini, Guofeng Zhang and John E. Gough, ``Quantum coherent and measurement feedback control based on atoms coupled with a semi-infinite waveguide,’  arXiv:2307.16876, 2023.  Accepted by SIAM Journal on Control and Optimization, 2024.

3.     Guofeng Zhang, Jinghao Li, Zhiyuan Dong, Ian R. Petersen, “The Quantum Kalman Decomposition: A Gramian Matrix Approach,’’ Automatica, vol. 173, paper no. 112069, 2025.

4.     Shikun Zhang and Guofeng Zhang (corresponding author), ``Noise suppression via coherent quantum feedback: a Schrodinger picture approach,' Automatica, vol. 173,  paper no.  112076, 2025 (Full Paper).

5.     Zhiyuan Dong, Guofeng Zhang (corresponding author), and Heung-wing Joseph Lee, ``On poles and zeros of linear quantum systems,’’ 2024 IEEE 55th Conference on Decision and Control (CDC), 2024, accepted.

6.      Shikun Zhang and Guofeng Zhang (corresponding author), ``Closed-Loop designed open-Loop control of quantum systems: an error analysis,''   Journal of Franklin Institute,  vol. 361, 107170, 2024.  

7.     Shikun Zhang and Guofeng Zhang (corresponding author), ``Attraction Domain Analysis for Steady States of Markovian Open Quantum Systems,’’ Accepted by Automatica, https://doi.org/10.48550/arXiv.2308.07602

8.     Haijing Ding and Guofeng Zhang (corresponding author), ``Quantum coherent feedback control with photons,'' IEEE Transactions on Automatic Control, vol. 69(2), pp. 856-871, 2024 (Full Paper).

9.     Zhiyuan Dong, Wei Cui, and Guofeng Zhang (corresponding author), ``On the dynamics of a quantum coherent feedback network of cavity-mediated double quantum dot qubits,'' Journal of Franklin Institute, vol. 360, pp. 4572-4596, 2023.

10.  Zhiyuan Dong, Guofeng Zhang (corresponding author), Aiguo Wu, and Rebing Wu, ``On the Dynamics of the Tavis-Cummings Model,” IEEE Transactions on Automatic Control, vol. 68(4), pp. 2048-2063, 2023 (Full Paper).

11.  Wenlong Li, Xue Dong, Guofeng Zhang, and Re-bing Wu  (corresponding author),  ``Flying-qubit control via a three-level atom with tunable waveguide,'' Physical Review B, vol. 106,  paper no. 134305,   2022.

12.  Guofeng Zhang (corresponding author) and Zhiyuan Dong, ``Linear quantum systems: a tutorial,  Annual Reviews in Control,  vol. 54, pp. 274-294, 2022.

13.  Wenlong Li,  Guofeng Zhang,  and Re-bing Wu, ``On the control of flying qubits,'' Automatica, vol. 143, paper number: 110338, 2022  (Full Paper).

14.  Guofeng Zhang, ``Control engineering of continuous-mode single-photon states: a review,''  Control Theory and Technology, 19, 544-562, 2021.

15.  Z. Dong, G. Zhang, A.G. Wu, ``Covariance Functions for Quantum Linear System Driven by Few Photons, The 39th Chinese Control Conference (CCC), 5800-5804, 2020.

16.  G. Zhang and Y. Pan, ``On the dynamics of two photons interacting with a two-qubit coherent feedback network, Automatica, 117, 108978, 2020 (Full Paper). arXiv:1803.05630 v3 [quant-ph].

17.  Q. Gao, G. Zhang (corresponding author), and Ian R. Petersen, ``An improved quantum projection filter, Automatica, 112, 108716, 2020 (Full Paper), arXiv:1909.13524 [quant-ph], 2019.

18.  G. Zhang and Ian. R. Petersen, ``Structural decomposition for quantum two-level systems, Automatica, 113, 108751, 2020, arXiv:1909.03594 v2 [quant-ph], 2019. 

19.  G. Zhang, ``Single-photon coherent feedback control and filtering,'' In: Baillieul J., Samad T. (eds) Encyclopedia of Systems and Control, Springer, London, 2020, to appear, arXiv:1902.10961v3 [quant-ph].

20.  G. Zhang, Ian R. Petersen, and Jinghao Li, ``Structural characterization of linear quantum systems with application to back-action evading measurement,'' IEEE Transactions on Automatic Control, to appear, July 2020, arXiv:1803.09419v2 [quant-ph]

21.  Z. Dong, G. Zhang (corresponding author),  and N. H. Amini, ``On the response of a two-level system to two-photon inputs,''  SIAM Journal on Control and Optimization, 57(5), 3445-3470, 2019, arXiv:1801.03675v2 [quant-ph].

22.  Z. Dong, G. Zhang (corresponding author), and Nina H. Amini, ``Quantum filtering for a two-level atom driven by two counter-propagating photons,'' Quantum information Processing, 18:136, 2019.

23.  Q. Gao, G. Zhang, and I.R. Petersen, ``An Exponential Quantum Projection Filter for Open Quantum Systems,'' Automatica, 99, 59-68, 2019 (Full Paper).

24.  S. Wang, H. I. Nurdin, G. Zhang, and M. R. James, ``Representation and network synthesis for a class of mixed quantum-classical linear stochastic systems,'' Automatica, 96, 84-97, 2018 (Full Paper).

25.  G. Zhang, S. Grivopoulos, I. R. Petersen, and J. E. Gough, ``The Kalman decomposition for linear quantum systems,'' IEEE Trans. Automat. Contl., 63, 331-346, 2018 (Full Paper). http://arxiv.org/abs/1606.05719v3.

26.  Z. Dong, G. Zhang, and Nina H. Amini, ``Single-photon quantum filtering with multiple measurements,''  International Journal of Adaptive Control and Signal Processing,  32(3), 528-546, 2018.

27.  J. E. Gough and G. Zhang, ``Classical and quantum stochastic models of resistive and memristive circuits,'' Journal of Mathematical Physics, 58, 07350, July 2017, http://arxiv.org/abs/1510.08243v1.

28.  Y. Pan and G. Zhang, ``Scattering of few photons by a ladder-type quantum system, '' Journal of Physics A: Mathematical and Theoretical, 50, 345301, July 2017.

29.  S. Grivopoulos, G. Zhang, I. R. Petersen, and J. E. Gough, ``The Kalman Decomposition for Linear Quantum Stochastic Systems,'' American Control Conference (ACC), Seattle, WA, USA, May 2017, 1073-1078.

30.  G. Zhang, ``Dynamical analysis of quantum linear systems driven by multi-channel multi-photon states,'' Automatica, 83, 186-198, September 2017 (Full Paper).

31.  L. Cui, Z. Dong, G. Zhang, and H.W. J. Lee, ``Mixed LQG and H_Infinity coherent feedback control for linear quantum systems,'' International Journal of Control, 90(12), 2575-2588, 2017.

32.  Z. Dong, L. Cui, G. Zhang, and H. Fu, ``Wigner spectrum and coherent feedback control of continuous-mode single-photon Fock states, Journal of Physics A: Mathematical and Theoretical, 49(43), 435301, 2016. [Figure 7 in the paper was used in the cover page of this issue.]

33.  H. Song, G. Zhang, and Z. Xi, ``Continuous-mode multi-photon filtering,'' SIAM Journal on Control and Optimization, 54(3), 1602-1632, 2016, arXiv:1307.7367v3 [quant-ph].

34.  Y. Pan, D. Dong, and G. Zhang, ``Exact analysis of the response of quantum systems to two photons using a QSDE approach,'' New Journal of Physics, 18, 033004, 2016.

35.  Y Pan, G. Zhang, and M. R. James, ``Analysis and control of quantum finite-level systems driven by single-photon input states,'' Automatica, 69, 18-23, 2016.  

36.  Y. Pan, G. Zhang, W. Cui, and M. R. James, ``Single photon inverting pulse for an atom in a cavity, '' 54st IEEE Conference on Decision and Control, pp. 6429-6433, Osaka, Japan, December 15-18, 2015.

37.  J. E.  Gough and G. Zhang, ``Generating nonclassical quantum input field states with modulating filters,EPJ Quantum Technology, 2(1), 2:15, 2015, arXiv:1404.3866 [quant-ph].

38.  J.E. Gough and G. Zhang, ``On realization theory of quantum linear systems'', Automatica, 59:139-151, 2015 (Full Paper), arXiv:1311.1375 [quant-ph].

39.  G. Zhang, Analysis of quantum linear systemsresponse to multi-photon states, Automatica, 50(2): 442-451, 2014 (Full Paper). arxiv.org/abs/1311.0357 

40.  S. Wang, H.I. Nurdin, G. Zhang, and M.R. James, ``Quantum optical realization of classical linear stochastic systems,'' Automatica, 49(6): 3090-3096, 2013.

41.  G. Zhang and M.R. James, ``On the response of quantum linear systems to single photon input fields,'' IEEE Trans. Automat. Contr., 58(5): 1221-1235, 2013 (Full Paper).

42.  G. Zhang, H.W. J. Lee, B. Huang, and H. Zhang, ``Coherent feedback control of linear quantum optical systems via squeezing and phase shift,'' SIAM Journal Control and Optimization, 50(4): 2130-2150, 2012. arxiv.org/abs/1206.3638.

43.  C. Bian, G. Zhang, and H.W. J. Lee, ``Squeezing enhancement of degenerate parametric amplifiers via coherent feedback control,'' International Journal of Control, 85(12):1865-1875, 2012.

44.  G. Zhang and M.R. James, ``Quantum feedback networks and control: a brief survey,'' Chinese Science Bulletin, 57(18):2200-2214, 2012 (arXiv:1201.6020v1 [quant-ph]).

45.  G. Zhang and M.R. James, ``Direct and indirect couplings in coherent feedback control of linear quantum systems,'' IEEE Trans. Automat. Contr., 56(7): 1535-1550, 2011 (Full Paper).

46.   S. Wang, H.I. Nurdin, G. Zhang, and M.R. James, ``Synthesis and structure of mixed quantum-classical linear systems,'' 51st IEEE Conference on Decision and Control, pp. 1093-1098, Maui, Hawaii, USA, December 10-13, 2012.

47.  S. Wang, H.I. Nurdin, G. Zhang, and M.R. James, ``Implementation of classical linear stochastic systems using quantum optical components,'' in Proceedings of the 2011 Australian Control Conference (AUCC), Engineers Australia, Australia, pp. 351-356, 2011.

 

Sampled-data control and network-based control

1.     Shaoxuan Cui, Guofeng Zhang, Hildeberto Jardon-Kojakhmetov, Ming Cao,  ``On discrete-time polynomial dynamical systems on hypergraphs,''  IEEE Control Systems Letters (L-CSS),  vol. 8, pp.  1078-1083,  2024.

2.     Gaopeng Duan, Aming Li, Tao Meng, Guofeng Zhang, and Long Wang, ``Energy cost for controlling complex networks with linear dynamics, Physical Review E, 99, 052305, 2019.  

3.     Gangshan Jing, Guofeng Zhang, Heung Wing Joseph Lee, and Long Wang, ``Angle-based shape determination theory of planar graphs with application to formation stabilization, Automatica, 105, 117-129, 2019 (Ful1 Paper).

4.     Xiaofeng Wang, Guofeng Zhang, and Weijian Kong, ``Evolutionary dynamics of the prisoner's dilemma with expellers,'' Journal of Physics Communications, 3:015011, 2019.

5.     Gangshan Jing, Guofeng Zhang, Heung Wing Joseph Lee, and Long Wang, ``Weak rigidity theory and its application to formation stabilization,'' SIAM Journal on Control and Optimization, 56(3), 2248-2273, 2018.

6.     Junyan Yu, Long Wang, Guofeng Zhang, and Mei Yu, ``Output feedback stabilisation of networked control systems via switched system approach,'' International Journal of Control, 82(9): 1665-1677, 2009. 

7.     Bin Wu, Long Wang, Guofeng Zhang, Jing Wang, ``Linguistic consensus on a circle,'' Int. J. Information and Systems Sciences, 5(2): 219 - 229, 2009.

8.     Guofeng Zhang, Xiang Chen, and Tongwen Chen, ``Digital redesign via the generalised bilinear transformation,'' International Journal of Control, 82(4):741-754, 2009. 

9.     Guofeng Zhang, Xiang Chen, and Tongwen Chen, ``A mixed-integer programming approach to networked control systems,'' International Journal of Numerical Analysis and Modeling, 5:590-611, 2008.

10.  Guofeng Zhang, Xiang Chen, and Tongwen Chen ``Performance recovery in digital implementation of analog systems,'' SIAM J. Control and Optimization, 45(6):2207-2223, 2007. 

11.  Guofeng Zhang and Tongwen Chen, ``Comparing digital implementation via the bilinear and step-invariant transformations,'' Automatica, 40(2):327-330, 2004.

12.  Guofeng Zhang, Xiang Chen, and Tongwen Chen, ``Performance comparison of digital implementation of analog systems,'' Proceedings of the 46th Conference on Decision and Control, pp. 785-790, New Orleans, December 12-14, 2007.

13.  Guofeng Zhang, Xiang Chen, and Tongwen Chen, ``A model predictive control approach to networked control systems,'' Proceedings of the 46th Conference on Decision and Control, pp. 3339-3344, New Orleans, December 12-14, 2007.

 

Nonlinear dynamics

1.     Guofeng Zhang, Long Wang, and Tongwen Chen, ``Complexity analysis of networked-based dynamical systems,'' J. of Systems Science and Complexity, 24: 413-432, 2011.

2.     Guofeng Zhang and Weixin Zheng, ``Stability and bifurcation analysis of a class of networked dynamical systems,'' IEEE Trans. CAS II, 56(8): 664-668, 2009.

3.     Jian Zhang, Hongbin Zhang, and G. Zhang, ``Controlling chaos in a memristor-based Chua's circuit,'' International Conference on Communications, Circuits and Systems, ICCCAS, pp. 961-963, 2009.

4.     G. Zhang, Guofeng Chen, Tongwen Chen, and Maria D'Amico, ``Dynamical analysis of a networked control system,'' Int. J. of Bifurcation and Chaos, 17(1):61-83, 2007. 

5.     Guofeng Zhang, Guanrong Chen, Tongwen Chen, and Yanping Lin, ``Analysis of a type of nonsmooth dynamical systems,'' Chaos, Solitons & Fractals, 30:1153-1164, 2006.

6.     Guofeng Zhang and Tongwen Chen, ``Networked control systems: a perspective from chaos,'' Int.  J. of Bifurcation and Chaos, 15(10):3075-3101, 2005.

 

Miscellaneous

1.     Liang Qiao, Qingling Zhang, and Guofeng Zhang, ``Admissibility analysis and control synthesis for T-S fuzzy descriptor systems,'' IEEE Transactions on Fuzzy Systems, 25(4), 929-740, 2017.

2.     Yi Zhang, Qingling Zhang, and Guofeng Zhang, ``H Infinity control of T-S fuzzy fish population logistic model with the invasion of alien species,'' Neurocomputing, 173:724-733, 2016.

3.     Jinliang Shao, Tingzhu Huang, and Guofeng Zhang, ``Linear system based approach for solving some related problems of M-matrices,'' Linear Algebra and its Applications, 432(1): 327-337, 2010.

4.     G. Zhang, Q. Zhang, Tongwen Chen, and Yanping Lin, ``On Lyapunov theorems for descriptor systems,'' Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, 10(5):709-726, 2003.

 

My Erdös number is 3: Paul Erdös - Charles K. Chui - G. Ron Chen - Guofeng Zhang