Research interest:

·    Quantum information and control

·     Quantum algorithms

 

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].

Quantum Information, Quantum Algorithms

1.     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.

2.     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.

3.     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.

4.     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.

5.     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

6.     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.

7.     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.

8.     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.

9.     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.

10.  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.

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

12.  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.

13.  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.

14.  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.     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

2.     Haijing Ding and Guofeng Zhang (corresponding author), ``Quantum coherent feedback control with photons,'' IEEE Transactions on Automatic Control, accepted, 2023 (Full Paper).

3.     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.

4.     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).

5.     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.

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

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

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

9.     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.

10.  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].

11.  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.

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

13.  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].

14.  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]

15.  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].

16.  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.

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

18.  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).

19.  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.

20.  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.

21.  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.

22.  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.

23.  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.

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

25.  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.

26.  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.]

27.  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].

28.  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.

29.  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.  

30.  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.

31.  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].

32.  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].

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

34.  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.

35.  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).

36.  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.

37.  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.

38.  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]).

39.  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).

40.   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.

41.  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.

 

Digital control and network-based control

1.     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.

2.     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).

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

4.     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.

5.     J. Yu, L. Wang, G. Zhang, M. Yu, ``Output feedback stabilisation of networked control systems via switched system approach,'' International Journal of Control, 82(9): 1665-1677, 2009. 

6.     B. Wu, L. Wang, G. Zhang, J. Wang, ``Linguistic consensus on a circle,'' Int. J. Information and Systems Sciences, 5(2): 219 - 229, 2009.

7.     G. Zhang, X. Chen and T. Chen, ``Digital redesign via the generalised bilinear transformation,'' International Journal of Control, 82(4):741-754, 2009. 

8.     G. Zhang, X. Chen, and T. Chen, ``A mixed-integer programming approach to networked control systems,'' International Journal of Numerical Analysis and Modeling, 5:590-611, 2008.

9.     G. Zhang, T. Chen and X. Chen, ``Performance recovery in digital implementation of analog systems,'' SIAM J. Control and Optimization, 45(6):2207-2223, 2007. 

10.  G. Zhang and T. Chen, ``Comparing digital implementation via the bilinear and step-invariant transformations,'' Automatica, 40(2):327-330, 2004.

11.  G. Zhang, X. Chen, and T. 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.

12.  G. Zhang, X. Chen, and T. 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.     G. Zhang, L. Wang, and T. Chen, ``Complexity analysis of networked-based dynamical systems,'' J. of Systems Science and Complexity, 24: 413-432, 2011.

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

3.     J. Zhang, H. 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, G. Chen, T. Chen, and M. D'Amico, ``Dynamical analysis of a networked control system,'' Int. J. of Bifurcation and Chaos, 17(1):61-83, 2007. 

5.     G. Zhang, G. Chen, T. Chen, and Y. Lin, ``Analysis of a type of nonsmooth dynamical systems,'' Chaos, Solitons & Fractals, 30:1153-1164, 2006.

6.     G. Zhang and T. 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.     Y. Zhang, Q. Zhang, and G. Zhang, ``H Infinity control of T-S fuzzy fish population logistic model with the invasion of alien species,'' Neurocomputing, 173:724-733, 2016.

3.     J. Shao, T. Huang, and G. 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, T. Chen, and Y. 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