11 papers
Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions
Ke Wang, Zhiyan Ding
We establish new theoretical results demonstrating the efficiency and robustness of system-bath interaction algorithms for quantum thermal and ground state preparation. We rigorous…
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
Ke Wang, Zikang Jia, Shravan Veerapaneni +1
We develop a pivot-shifted Carleman linearization framework for quantum algorithms solving quadratic nonlinear ordinary differential equations. By shifting the dynamics by a pivot…
Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions
Hongrui Chen, Zhiyan Ding, Ruizhe Zhang
We investigate quantum thermal state preparation algorithms based on system-bath interactions and uncover a surprising phenomenon in the weak-coupling regime. We rigorously prove t…
Quantum Filtering and Analysis of Multiplicities in Eigenvalue Spectra
Zhiyan Ding, Lin Lin, Yilun Yang +1
Fine-grained spectral properties of quantum Hamiltonians, including both eigenvalues and their multiplicities, provide useful information for characterizing many-body quantum syste…
Provably Efficient Long-Time Exponential Decompositions of Non-Markovian Gaussian Baths
Zhen Huang, Zhiyan Ding, Ke Wang +3
Gaussian baths are widely used to model non-Markovian environments, yet the cost of accurate simulation at long times remains poorly understood, especially when spectral densities…
Rapid quantum ground state preparation via dissipative dynamics
Yongtao Zhan, Zhiyan Ding, Jakob Huhn +4
Inspired by natural cooling processes, dissipation has become a promising approach for preparing low-energy states of quantum systems. However, the potential of dissipative protoco…