Publications and preprints (from 2016)
Published:
46. (%) Schrodingerisation-based quantum circuits for Maxwell’s equation with time-dependent source terms, Chuwen Ma, Shi Jin, Nana Liu, Kezhen Wang, Lei Zhang, arXiv: 2411.10999, Journal of Scientific Computing, 2026 (accepted)
45. (%) Quantum algorithms for viscosity solutions to nonlinear Hamilton-Jacobi equations based on an entropy penalisation method, Shi Jin and Nana Liu*, arXiv: 2512.07919, Vol 123, no. 24, Proceedings of the National Academy of Sciences (PNAS), 2026
44. Fundamental questions on robustness and accuracy for classical and quantum learning algorithms, Nana Liu*, Book chapter (invited) in Quantum Robustness in Artificial Intelligence -- Principles and Applications (Quantum Science and Technology book series), Springer, ed. Muhammad Usman, arXiv: 2602.15079, 2026
43. (%) Quantum random feature method for solving partial differential equations, Junpeng Hu*, Shi Jin*, Nana Liu* and Lei Zhang*, arXiv:2510.07945, Discrete and Continuous Dynamical Systems, 2025 (accepted)
42. (%) Schrodingerisation based quantum algorithms for the time-fractional heat equation, Shi Jin*, Nana Liu*, Yue Yu*, arXiv: 2509.17713, Journal of Computational Physics (Special issue in honour of Peter Lax), Vol 560, 114943, 2026.
41. Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems, Michele Minervini, Madison Chin, Jacob Kupperman, Nana Liu, Ivy Luo, Meghan Ly, Soorya Rethinasamy, Kathie Wang, Mark M. Wilde*, arXiv: 2508.09103, Physical Review A, Vol 113, 042407, 2026.
40. Quantum framework for simulating linear PDEs with Robin boundary conditions, Nikita Guseynov*, Xiajie Huang*, Nana Liu*, arXiv: 2506.20478, Quantum Science and Technology, Vol 11, 015057, 2026.
39. (%) On the Schrodingerisation method for linear non-unitary dynamics with optimal dependence on matrix queries, Shi Jin, Nana Liu and Chuwen Ma, Yue Yu*, arXiv: 2505.00370, Vol 24, No.2, Communications in Mathematical Sciences, 2026
38. (%) Quantum algorithms for stochastic differential equations: a Schrodingerisation approach, Shi Jin, Nana Liu, Wei Wei*, arXiv:2412.14868, Journal of Scientific Computing, Vol 104, no. 56, 2025
37. (%) A unifying framework for quantum simulation algorithms for time-dependent Hamiltonian dynamics, Yu Cao, Shi Jin and Nana Liu*, arXiv: 2411.03180, Vol 7, 043186, Physical Review Research, 2025
36. Efficient explicit circuit for quantum state preparation of piece-wise continuous functions, Nikita Guseynov*, Nana Liu*, arXiv: 2411.01131, Vol 113, 012604, Physical Review A, 2026
35. (%) Quantum circuits for the heat equation with physical boundary conditions via Schrodingerisation, Shi Jin*, Nana Liu*, Yue Yu*, arXiv: 2407.15895, Vol 538, 114138, Journal of Computational Physics, 2025
34. Explicit gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations, Nikita Guseynov*, Xiajie Huang*, Nana Liu*, arXiv: 2405.12855, Physical Review Research, Vol 7, 033100, 2025
33. Quantum algorithms for matrix geometric means, Nana Liu*, Qisheng Wang, Mark Wilde, Zhicheng Zhang, arXiv: 2405. 00673, npj Quantum Information, Vol 11, N0. 101, 2025 Selected as talk in QCMC 2024 (within top 20 of 212 submissions)
32. (%) Schrödingerisation-based computationally stable algorithms for ill-posed problems in partial differential equations, Shi Jin, Nana Liu and Chuwen Ma*, arXiv: 2403.19123, Vol 47, No. 4, SIAM Journal on Scientific Computing, 2025
31. (%) An invitation to the sample complexity of quantum hypothesis testing, Hao-Chung Cheng, Nilanjana Datta, Nana Liu*, Theshani Nuradha, Robert Salzmann, Mark M. Wilde, arXiv: 2403.17868, npj Quantum Information, Vol 11, No. 94, 2025
30. (%) Quantum circuits for partial differential equations via Schrodingerisation, Junpeng Hu*, Shi Jin*, Nana Liu* and Lei Zhang*, Quantum, Vol 8, 1563, 2024
29. (%) On Schrodingerisation based quantum algorithms for linear dynamical systems with inhomogeneous terms, Shi Jin, Nana Liu and Chuwen Ma*, arXiv: 2402.14696, Vol 63, No. 4, SIAM Journal of Numerical Analysis, 2025
28. (%) Quantum simulation for time-dependent Hamiltonians -- with applications to non-autonomous ordinary and partial differential equations, Yu Cao, Shi Jin and Nana Liu*, arXiv: 2312.02817, Journal of Physics A, Vol 58, 155304, 2025
27. (%) Dilation theorem via Schrodingerisation, with applications to the quantum simulation of differential equations, Junpeng Hu*, Shi Jin, Nana Liu and Lei Zhang, arXiv: 2309.16262, Studies in Applied Mathematics, Vol 154, No.4, 2025
26. (%) Quantum simulation of Maxwell’s equations via Schrodingerisation, Shi Jin, Nana Liu and Chuwen Ma*, ESAIM: Mathematical Modelling and Numerical Analysis, Vol 58, 1853-1879, 2024
25. Nondestructively probing the thermodynamics of quantum systems with qumodes, Thomas Elliott*, Mile Gu, Jayne Thompson, Nana Liu*, AVS Quantum Science, Vol 5, 034402, 2023
Selected as Editor’s Pick and featured article. Also featured in Scilight: highlights from AIP Publishing: Ananya Palivela. "Probing quantum systems non-destructively." Scilight 2023.36 (2023)
24. (%) Analog quantum simulation of partial differential equations, Shi Jin, Nana Liu*, arXiv: 2308.00646, Quantum Science and Technology, Vol 9, 035047, 2024
23. (%) Quantum simulation for partial differential equations with physical boundary or interface conditions, Shi Jin*, Xiantao Li*, Nana Liu*, Yue Yu*, Journal of Computational Physics, Vol 298, 112707, 2024
22. (%) Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra via Schrodingerisation, Shi Jin, Nana Liu*, arXiv: 2304.02865, Proceedings of the Royal Society A, Vol 480, 20230370, 2024
21. (%) Quantum Simulation for Quantum Dynamics with Artificial Boundary Conditions, Shi Jin*, Xiantao Li*, Nana Liu*, Yue Yu*, arXiv:2304.00667, SIAM Journal on Scientific Computing, Vol 46, Issue 4, B40-B421, 2024
20. (%) Efficient learning of continuous-variable quantum states, Yadong Wu, Yan Zhu, Guilio Chiribella, Nana Liu*, arXiv:2303.05097, Physical Review Research, Vol 6, 033230, 2024
19. (%) Quantum simulation of partial differential equations: applications and detailed analysis, Shi Jin*, Nana Liu*, Yue Yu*, Physical Review A, Vol 108, 032603, 2023
18. (%) Quantum simulation of partial differential equations via Schrodingerisation, Shi Jin, Nana Liu*, Yue Yu, arXiv: 2212.13969, Physical Review Letters, Vol 133, 230602, 2024
17. (%) Quantum algorithms for uncertainty quantification: application to partial differential equations, Francoise Golse, Shi Jin, Nana Liu*, arXiv: 2022.112200, Vol 68, 104704, SCIENCE CHINA Physics, Mechanics & Astronomy (SCPMA), 2025
16. (%) Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations, Shi Jin, Nana Liu, Yue Yu*, Journal of Computational Physics, Vol 487, 112149, 2023
15. (%) Quantum algorithms for computing observables of nonlinear partial differential equations, Shi Jin, Nana Liu*, arXiv: 2022.07834, Bulletin des Sciences Mathematiques, Vol 194, 103457, 2024
14. (%) Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations, Shi Jin, Nana Liu, Yue Yu*, Journal of Computational Physics, Vol 471, 111641, 2022
13. Data science on a future quantum internet, Nana Liu*, Harvard Data Science Review (invited), Issue 4.1, 2022
12. (%) Quantum simulation in the semi-classical regime, Shi Jin, Xiaotao Li, Nana Liu, Quantum, Vol 6, 739, 2022
11. The Quantum Internet: The Second Quantum Revolution (Book), Peter Rohde, Zixin Huang, Heliang Huang, Zuen Su, Scott Harrison, Tim Byrnes, Jonathan Dowling, Si-Hui Tan, Atul Mantri, Simon Devitt, Rohit Ramakrishnan, Nana Liu, Chandra Radhakrishnan, William Munro, Cambridge University Press, 2021, arXiv:2501.12107
10. Efficient verification of continuous-variable quantum states and devices without assuming identical and independent preparation, Yadong Wu, Ge Bai, Giulio Chiribella, Nana Liu*, Physical Review Letters, Vol 126, 240503, 2021
9. Optimal Provable Robustness of Quantum Classification via Quantum Hypothesis Testing, Maurice Weber, Nana Liu, Bo Li, Ce Zhang*, Zhikuan Zhao*, npj Quantum Information, Vol 7, no. 76, 2021
8. Quantum noise protects quantum classifiers against adversaries, Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, Dacheng Tao, Nana Liu*, Physical Review Research, Vol 3, 023153, 2021
7.Tangible reduction in learning sample complexity with large classical samples and small quantum system, Wooyeong Song, Marcin Wiesniak, Nana Liu, Marcin Pawlowski, Jinhyoung Lee, Jaewan Kim, Jeongho Bang, Quantum Information Processing, Vol 20, 275, 2021
6.Vulnerability of quantum classification to adversarial perturbations, Nana Liu*, Peter Wittek, Physical Review A, Vol 101, 06331, 2020, Selected as Editor’s Suggestion
5.Client-friendly continuous-variable blind and verifiable quantum computing, Nana Liu*, Tommaso Demarie*, Si-Hui Tan, Leandro Aolita, Joseph Fitzsimons, Physical Review A, Vol 100, 062309, 2019
4.Quantum machine learning for quantum anomaly detection, Nana Liu*, Patrick Rebentrost, Physical Review A, Vol 97, 042315, 2018
3.Quantum-enhanced multi-parameter estimation for unitary photonic systems, Nana Liu* and Hugo Cable, Quantum Science and Technology, Vol 2, No. 2, 2017
2.Power of one qumode for quantum computation, Nana Liu*, Jayne Thompson, Christian Weedbrook, Seth Lloyd, Vlatko Vedral, Mile Gu, Kavan Modi, Physical Review A, Vol 93, 052304, 2016
MIT Technology Review article on this work: https://www.technologyreview.com/s/542776/squeezed-light-and-quantum-clockspeeds/
1.Quantum thermodynamics for a model of an expanding universe, Nana Liu*, John Goold, Ivette Fuentes, Vlatko Vedral, Kavan Modi, David E. Bruschi, Classical and Quantum Gravity, Vol 33, No. 3, 2016
ArXiv:
* corresponding author/s
[#] Author list is alphabetical
46. (%) Schrodingerisation-based quantum circuits for Maxwell’s equation with time-dependent source terms, Chuwen Ma, Shi Jin, Nana Liu, Kezhen Wang, Lei Zhang, arXiv: 2411.10999, Journal of Scientific Computing, 2026 (accepted)
45. (%) Quantum algorithms for viscosity solutions to nonlinear Hamilton-Jacobi equations based on an entropy penalisation method, Shi Jin and Nana Liu*, arXiv: 2512.07919, Vol 123, no. 24, Proceedings of the National Academy of Sciences (PNAS), 2026
44. Fundamental questions on robustness and accuracy for classical and quantum learning algorithms, Nana Liu*, Book chapter (invited) in Quantum Robustness in Artificial Intelligence -- Principles and Applications (Quantum Science and Technology book series), Springer, ed. Muhammad Usman, arXiv: 2602.15079, 2026
43. (%) Quantum random feature method for solving partial differential equations, Junpeng Hu*, Shi Jin*, Nana Liu* and Lei Zhang*, arXiv:2510.07945, Discrete and Continuous Dynamical Systems, 2025 (accepted)
42. (%) Schrodingerisation based quantum algorithms for the time-fractional heat equation, Shi Jin*, Nana Liu*, Yue Yu*, arXiv: 2509.17713, Journal of Computational Physics (Special issue in honour of Peter Lax), Vol 560, 114943, 2026.
41. Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems, Michele Minervini, Madison Chin, Jacob Kupperman, Nana Liu, Ivy Luo, Meghan Ly, Soorya Rethinasamy, Kathie Wang, Mark M. Wilde*, arXiv: 2508.09103, Physical Review A, Vol 113, 042407, 2026.
40. Quantum framework for simulating linear PDEs with Robin boundary conditions, Nikita Guseynov*, Xiajie Huang*, Nana Liu*, arXiv: 2506.20478, Quantum Science and Technology, Vol 11, 015057, 2026.
39. (%) On the Schrodingerisation method for linear non-unitary dynamics with optimal dependence on matrix queries, Shi Jin, Nana Liu and Chuwen Ma, Yue Yu*, arXiv: 2505.00370, Vol 24, No.2, Communications in Mathematical Sciences, 2026
38. (%) Quantum algorithms for stochastic differential equations: a Schrodingerisation approach, Shi Jin, Nana Liu, Wei Wei*, arXiv:2412.14868, Journal of Scientific Computing, Vol 104, no. 56, 2025
37. (%) A unifying framework for quantum simulation algorithms for time-dependent Hamiltonian dynamics, Yu Cao, Shi Jin and Nana Liu*, arXiv: 2411.03180, Vol 7, 043186, Physical Review Research, 2025
36. Efficient explicit circuit for quantum state preparation of piece-wise continuous functions, Nikita Guseynov*, Nana Liu*, arXiv: 2411.01131, Vol 113, 012604, Physical Review A, 2026
35. (%) Quantum circuits for the heat equation with physical boundary conditions via Schrodingerisation, Shi Jin*, Nana Liu*, Yue Yu*, arXiv: 2407.15895, Vol 538, 114138, Journal of Computational Physics, 2025
34. Explicit gate construction of block-encoding for Hamiltonians needed for simulating partial differential equations, Nikita Guseynov*, Xiajie Huang*, Nana Liu*, arXiv: 2405.12855, Physical Review Research, Vol 7, 033100, 2025
33. Quantum algorithms for matrix geometric means, Nana Liu*, Qisheng Wang, Mark Wilde, Zhicheng Zhang, arXiv: 2405. 00673, npj Quantum Information, Vol 11, N0. 101, 2025 Selected as talk in QCMC 2024 (within top 20 of 212 submissions)
32. (%) Schrödingerisation-based computationally stable algorithms for ill-posed problems in partial differential equations, Shi Jin, Nana Liu and Chuwen Ma*, arXiv: 2403.19123, Vol 47, No. 4, SIAM Journal on Scientific Computing, 2025
31. (%) An invitation to the sample complexity of quantum hypothesis testing, Hao-Chung Cheng, Nilanjana Datta, Nana Liu*, Theshani Nuradha, Robert Salzmann, Mark M. Wilde, arXiv: 2403.17868, npj Quantum Information, Vol 11, No. 94, 2025
30. (%) Quantum circuits for partial differential equations via Schrodingerisation, Junpeng Hu*, Shi Jin*, Nana Liu* and Lei Zhang*, Quantum, Vol 8, 1563, 2024
29. (%) On Schrodingerisation based quantum algorithms for linear dynamical systems with inhomogeneous terms, Shi Jin, Nana Liu and Chuwen Ma*, arXiv: 2402.14696, Vol 63, No. 4, SIAM Journal of Numerical Analysis, 2025
28. (%) Quantum simulation for time-dependent Hamiltonians -- with applications to non-autonomous ordinary and partial differential equations, Yu Cao, Shi Jin and Nana Liu*, arXiv: 2312.02817, Journal of Physics A, Vol 58, 155304, 2025
27. (%) Dilation theorem via Schrodingerisation, with applications to the quantum simulation of differential equations, Junpeng Hu*, Shi Jin, Nana Liu and Lei Zhang, arXiv: 2309.16262, Studies in Applied Mathematics, Vol 154, No.4, 2025
26. (%) Quantum simulation of Maxwell’s equations via Schrodingerisation, Shi Jin, Nana Liu and Chuwen Ma*, ESAIM: Mathematical Modelling and Numerical Analysis, Vol 58, 1853-1879, 2024
25. Nondestructively probing the thermodynamics of quantum systems with qumodes, Thomas Elliott*, Mile Gu, Jayne Thompson, Nana Liu*, AVS Quantum Science, Vol 5, 034402, 2023
Selected as Editor’s Pick and featured article. Also featured in Scilight: highlights from AIP Publishing: Ananya Palivela. "Probing quantum systems non-destructively." Scilight 2023.36 (2023)
24. (%) Analog quantum simulation of partial differential equations, Shi Jin, Nana Liu*, arXiv: 2308.00646, Quantum Science and Technology, Vol 9, 035047, 2024
23. (%) Quantum simulation for partial differential equations with physical boundary or interface conditions, Shi Jin*, Xiantao Li*, Nana Liu*, Yue Yu*, Journal of Computational Physics, Vol 298, 112707, 2024
22. (%) Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra via Schrodingerisation, Shi Jin, Nana Liu*, arXiv: 2304.02865, Proceedings of the Royal Society A, Vol 480, 20230370, 2024
21. (%) Quantum Simulation for Quantum Dynamics with Artificial Boundary Conditions, Shi Jin*, Xiantao Li*, Nana Liu*, Yue Yu*, arXiv:2304.00667, SIAM Journal on Scientific Computing, Vol 46, Issue 4, B40-B421, 2024
20. (%) Efficient learning of continuous-variable quantum states, Yadong Wu, Yan Zhu, Guilio Chiribella, Nana Liu*, arXiv:2303.05097, Physical Review Research, Vol 6, 033230, 2024
19. (%) Quantum simulation of partial differential equations: applications and detailed analysis, Shi Jin*, Nana Liu*, Yue Yu*, Physical Review A, Vol 108, 032603, 2023
18. (%) Quantum simulation of partial differential equations via Schrodingerisation, Shi Jin, Nana Liu*, Yue Yu, arXiv: 2212.13969, Physical Review Letters, Vol 133, 230602, 2024
17. (%) Quantum algorithms for uncertainty quantification: application to partial differential equations, Francoise Golse, Shi Jin, Nana Liu*, arXiv: 2022.112200, Vol 68, 104704, SCIENCE CHINA Physics, Mechanics & Astronomy (SCPMA), 2025
16. (%) Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations, Shi Jin, Nana Liu, Yue Yu*, Journal of Computational Physics, Vol 487, 112149, 2023
15. (%) Quantum algorithms for computing observables of nonlinear partial differential equations, Shi Jin, Nana Liu*, arXiv: 2022.07834, Bulletin des Sciences Mathematiques, Vol 194, 103457, 2024
14. (%) Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations, Shi Jin, Nana Liu, Yue Yu*, Journal of Computational Physics, Vol 471, 111641, 2022
13. Data science on a future quantum internet, Nana Liu*, Harvard Data Science Review (invited), Issue 4.1, 2022
12. (%) Quantum simulation in the semi-classical regime, Shi Jin, Xiaotao Li, Nana Liu, Quantum, Vol 6, 739, 2022
11. The Quantum Internet: The Second Quantum Revolution (Book), Peter Rohde, Zixin Huang, Heliang Huang, Zuen Su, Scott Harrison, Tim Byrnes, Jonathan Dowling, Si-Hui Tan, Atul Mantri, Simon Devitt, Rohit Ramakrishnan, Nana Liu, Chandra Radhakrishnan, William Munro, Cambridge University Press, 2021, arXiv:2501.12107
10. Efficient verification of continuous-variable quantum states and devices without assuming identical and independent preparation, Yadong Wu, Ge Bai, Giulio Chiribella, Nana Liu*, Physical Review Letters, Vol 126, 240503, 2021
9. Optimal Provable Robustness of Quantum Classification via Quantum Hypothesis Testing, Maurice Weber, Nana Liu, Bo Li, Ce Zhang*, Zhikuan Zhao*, npj Quantum Information, Vol 7, no. 76, 2021
8. Quantum noise protects quantum classifiers against adversaries, Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, Dacheng Tao, Nana Liu*, Physical Review Research, Vol 3, 023153, 2021
7.Tangible reduction in learning sample complexity with large classical samples and small quantum system, Wooyeong Song, Marcin Wiesniak, Nana Liu, Marcin Pawlowski, Jinhyoung Lee, Jaewan Kim, Jeongho Bang, Quantum Information Processing, Vol 20, 275, 2021
6.Vulnerability of quantum classification to adversarial perturbations, Nana Liu*, Peter Wittek, Physical Review A, Vol 101, 06331, 2020, Selected as Editor’s Suggestion
5.Client-friendly continuous-variable blind and verifiable quantum computing, Nana Liu*, Tommaso Demarie*, Si-Hui Tan, Leandro Aolita, Joseph Fitzsimons, Physical Review A, Vol 100, 062309, 2019
4.Quantum machine learning for quantum anomaly detection, Nana Liu*, Patrick Rebentrost, Physical Review A, Vol 97, 042315, 2018
3.Quantum-enhanced multi-parameter estimation for unitary photonic systems, Nana Liu* and Hugo Cable, Quantum Science and Technology, Vol 2, No. 2, 2017
2.Power of one qumode for quantum computation, Nana Liu*, Jayne Thompson, Christian Weedbrook, Seth Lloyd, Vlatko Vedral, Mile Gu, Kavan Modi, Physical Review A, Vol 93, 052304, 2016
MIT Technology Review article on this work: https://www.technologyreview.com/s/542776/squeezed-light-and-quantum-clockspeeds/
1.Quantum thermodynamics for a model of an expanding universe, Nana Liu*, John Goold, Ivette Fuentes, Vlatko Vedral, Kavan Modi, David E. Bruschi, Classical and Quantum Gravity, Vol 33, No. 3, 2016
ArXiv:
- Analog photonic simulator for large-scale transport, Mengyu Zhao, Xuezhi Zhu, Nikita Guseynov, Yewei Yuan, Na Weng, Meihong Wang, Yunyun Cao, Shi Jin, Nana Liu*, Changde Xie, Kunchi Peng, Xiaolong Su*, arXiv: 2606.00581, 2026
- Quantum principal component analysis without eigenvector recovery, Yewei Yuan, Michele Minervini, Mark Wilde, Nana Liu*, arXiv: 2605.27942, 2026
- End-to-end PDE-based Quantum Algorithms for Multi-Asset Option Pricing under Local and Stochastic Volatility, Nikita Guseynov*, Nana Liu, Chi Seng Pun, Tushar Vaidya*, arXiv:2605.26610, 2026
- Bose-Einstein thermal operators for semidefinite optimisation, Michele Minervini, Nana Liu, Mark Wilde, arXiv: 2605.27228, 2026
- Fermi-Dirac machines as quantisations of neurons, Alexander He, Nana Liu, Mark Wilde, arXiv: 2605.24386, 2026
- (%) Hybrid quantum-classical algorithms for complex nonlinear partial differential equations with Ginzburg-Landau potential and vortex motion laws, Shi Jin*, Nana Liu* and Chuwen Ma*, arXiv: 2604.14079, 2026
- (%) Quantum algorithms for Young measures – applications to nonlinear partial differential equations, Shi Jin* and Nana Liu*, Maria Lukacova-Medvidova*, Yuhuan Yuan*, arXiv: 2604.11825, 2026
- (%) Fermi-Dirac thermal measurements: A framework for quantum hypothesis testing and semidefinite optimization, Nana Liu and Mark Wilde, arXiv: 2603.0461, 2026
- Improved Offline Reinforcement Learning via Quantum Metric Encoding, Outongyi Lv*, Yewei Yuan*, Nana Liu, arXiv: 2511.10187, 2025
- Quantum Algorithm for Local-Volatility Option Pricing via the Kolmogorov Equation, Nikita Guseynov*, Mikel Sanz, Angel Rodriguez-Rozas, Nana Liu and Javier Gonzalez-Conde*, arXiv: 2511.04942, 2025
- (%) Quantum neural ordinary and partial differential equations, Yu Cao*, Shi Jin and Nana Liu*, arXiv: 2508.18326, 2025 (%) Quantum preconditioning method for linear systems problems via Schrodingerisation, Shi Jin*, Nana Liu* and Chuwen Ma*, Yue Yu*, arXiv: 2505.06866, 2025
- (%) Quantum thermodynamics and semi-definite optimisation, Nana Liu, Michele Minervini, Drhumil Patel, Mark Wilde, arXiv: 2505.04514, 2024
- (%) Schrodingerisation-based quantum algorithms for the fractional Poisson equation, Shi Jin*, Nana Liu*, Yue Yu*, arXiv: 2505.01602, 2025
- (%) Analog quantum simulation of parabolic partial differential equations using Jaynes-Cummings-like models, Shi Jin, Nana Liu*, arXiv: 2407.01913, 2024
- (%) Quantum simulation of the Fokker-Planck equation via Schrodingerisation, Shi Jin*, Nana Liu*, Yue Yu*, arXiv: 2404.13585, 2024
- Power of photonic states: from computation to cosmology (Thesis), Nana Liu*, ArXiv: 1607.01057, 2016
* corresponding author/s
[#] Author list is alphabetical
