ZD
Zhiyan Ding
quant-phcs.NAmath.NAcs.LGstat.MLmath.OCmath.APmath.MPmath-phcs.DS
On Valency
published · living versionsW_m2mzczhe·v1 · currentpublished
Sublinear thermal state and ground state preparation for free fermions via system-bath interaction
with Lin Lin, Ke Wang
1 version
W_gc22mw4w·v1published
W_2yvg4zxs·v1published
Preprints & journals
39 papers in the corpus · 2019–2026Quantitative homogenization of convex Hamilton-Jacobi equations in the Wasserstein space2606.22103v1 · Zhiyan Ding, Ibrahim Ekren, Yuxi Han et al.2026 · 0 citationsarXiv
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization2605.20071v1 · Ke Wang, Zikang Jia, Shravan Veerapaneni et al.2026 · 1 citationarXiv
Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions2604.15616v2 · Hongrui Chen, Zhiyan Ding, Ruizhe Zhang2026 · 0 citationsarXiv
Provably Efficient Long-Time Exponential Decompositions of Non-Markovian Gaussian Baths2603.25708v2 · Zhen Huang, Zhiyan Ding, Ke Wang et al.2026 · 0 citationsarXiv
Operator-level quantum acceleration of non-logconcave sampling.41719333 · Leng, Jiaqi, Ding, Zhiyan, Chen, Zherui et al.2026 · 0 citationsProceedings of the National Academy of Sciences of the United States of America. 2026;123(8):e2512789123
Beyond Lindblad Approximation: Rigorous Guarantees for Thermal and Ground State Preservation under System-Bath Interactions2512.03457v4 · Ke Wang, Zhiyan Ding2025 · 0 citationsarXiv
Quantum Replica Exchange2510.07291v3 · Zherui Chen, Joao Basso, Zhiyan Ding et al.2025 · 0 citationsarXiv
Quantum Filtering and Analysis of Multiplicities in Eigenvalue Spectra2510.07439v3 · Zhiyan Ding, Lin Lin, Yilun Yang et al.2025 · 0 citationsPRX Quantum 7, 020318 (2026)
Simple and efficient end-to-end quantum thermal and ground state preparation2508.05703v3 · Zhiyan Ding, Yongtao Zhan, John Preskill et al.2025 · 3 citationsNat. Phys. (2026)
Polynomial-Time Preparation of Low-Temperature Gibbs States for 2D Toric Code2410.01206v2 · Zhiyan Ding, Zeph Landau, Bowen Li et al.2024 · 1 citationarXiv
Lower bound for simulation cost of open quantum systems: Lipschitz continuity approach2407.15357v2 · Zhiyan Ding, Marius Junge, Philipp Schleich et al.2024 · 7 citationsCommun. Math. Phys. 406, 60 (2025)
Swarm-based gradient descent meets simulated annealing2404.18015v2 · Zhiyan Ding, Martin Guerra, Qin Li et al.2024 · 6 citationsarXiv
Efficient quantum Gibbs samplers with Kubo--Martin--Schwinger detailed balance condition2404.05998v5 · Zhiyan Ding, Bowen Li, Lin Lin2024 · 35 citationsCommun. Math. Phys. 406, 67 (2025)
The ESPRIT algorithm under high noise: Optimal error scaling and noisy super-resolution2404.03885v3 · Zhiyan Ding, Ethan N. Epperly, Lin Lin et al.2024 · 5 citationsarXiv
Quantum Multiple Eigenvalue Gaussian filtered Search: an efficient and versatile quantum phase estimation method2402.01013v2 · Zhiyan Ding, Haoya Li, Lin Lin et al.2024 · 23 citationsQuantum 8, 1487 (2024)
Bayesian sampling using interacting particles2401.13100v3 · Shi Chen, Zhiyan Ding, Qin Li2024 · 1 citationarXiv
Simulating Open Quantum Systems Using Hamiltonian Simulations2311.15533v3 · Zhiyan Ding, Xiantao Li, Lin Lin2023 · 66 citationsPRX Quantum 5, 020332, 2024
Random coordinate descent: a simple alternative for optimizing parameterized quantum circuits2311.00088v2 · Zhiyan Ding, Taehee Ko, Jiahao Yao et al.2023 · 9 citationsPhys. Rev. Research 6, 033029, 2024
Single-ancilla ground state preparation via Lindbladians2308.15676v4 · Zhiyan Ding, Chi-Fang Chen, Lin Lin2023 · 67 citationsPhys. Rev. Research 6, 033147 (2024)
Robust ground-state energy estimation under depolarizing noise2307.11257v2 · Zhiyan Ding, Yulong Dong, Yu Tong et al.2023 · 5 citationsarXiv
On optimal bases for multiscale PDEs and Bayesian homogenization2305.12303v1 · Shi Chen, Zhiyan Ding, Qin Li et al.2023 · 0 citationsarXiv
Convergence of variational Monte Carlo simulation and scale-invariant pre-training2303.11602v4 · Nilin Abrahamsen, Zhiyan Ding, Gil Goldshlager et al.2023 · 1 citationJournal of Computational Physics 513 (2024)
Simultaneous estimation of multiple eigenvalues with short-depth quantum circuit on early fault-tolerant quantum computers2303.05714v4 · Zhiyan Ding, Lin Lin2023 · 41 citationsQuantum 7, 1136 (2023)
Even shorter quantum circuit for phase estimation on early fault-tolerant quantum computers with applications to ground-state energy estimation2211.11973v2 · Zhiyan Ding, Lin Lin2022 · 80 citationsPRX Quantum 4, 020331 (2023)
High-frequency limit of the inverse scattering problem: asymptotic convergence from inverse Helmholtz to inverse Liouville2201.03494v3 · Shi Chen, Zhiyan Ding, Qin Li et al.2022 · 2 citationsarXiv
A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks2111.02280v2 · Shi Chen, Zhiyan Ding, Qin Li et al.2021 · 5 citationsJournal of Computational Mathematics 42 (2024)
On the Global Convergence of Gradient Descent for multi-layer ResNets in the mean-field regime2110.02926v2 · Zhiyan Ding, Shi Chen, Qin Li et al.2021 · 4 citationsarXiv
Overparameterization of deep ResNet: zero loss and mean-field analysis2105.14417v3 · Zhiyan Ding, Shi Chen, Qin Li et al.2021 · 10 citationsJournal of Machine Learning Research 23 (2022)
Constrained Ensemble Langevin Monte Carlo2102.04279v4 · Zhiyan Ding, Qin Li2021 · 1 citationFoundations of Data Science 4 (2022)
Random Coordinate Underdamped Langevin Monte Carlo2010.11366v1 · Zhiyan Ding, Qin Li, Jianfeng Lu et al.2020 · 5 citationsarXiv
Random Coordinate Langevin Monte Carlo2010.01405v1 · Zhiyan Ding, Qin Li, Jianfeng Lu et al.2020 · 6 citationsarXiv
Langevin Monte Carlo: random coordinate descent and variance reduction2007.14209v8 · Zhiyan Ding, Qin Li2020 · 1 citationJournal of Machine Learning Research 22 (2021)
Variance reduction for Random Coordinate Descent-Langevin Monte Carlo2006.06068v4 · Zhiyan Ding, Qin Li2020 · 1 citationarXiv
Ensemble Kalman Inversion for nonlinear problems: weights, consistency, and variance bounds2003.02316v3 · Zhiyan Ding, Qin Li, Jianfeng Lu2020 · 12 citationsFoundations of Data Science 3 (2021)
Ensemble Kalman Sampler: mean-field limit and convergence analysis1910.12923v3 · Zhiyan Ding, Qin Li2019 · 36 citationsSIAM Journal on Mathematical Analysis 53 (2021)
Error Lower Bounds of Constant Step-size Stochastic Gradient Descent1910.08212v1 · Zhiyan Ding, Yiding Chen, Qin Li et al.2019 · 2 citationsarXiv
Ensemble Kalman Inversion: mean-field limit and convergence analysis1908.05575v5 · Zhiyan Ding, Qin Li2019 · 49 citationsStatistics and Computing 31 (2021)
On a Fractional Schrödinger equation in the presence of Harmonic potential1908.05719v2 · Zhiyan Ding, Hichem Hajaiej2019 · 2 citationsElectronic Research Archive 29 (2021)
Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit1907.04247v4 · Zhiyan Ding, Lukas Einkemmer, Qin Li2019 · 30 citationsSIAM Journal on Numerical Analysis 59 (2021)
Career total: 47 works. 39 are in this corpus.
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