58 citations · 177 across the 18 of their papers we have counts for
6 papers · 1 filter
Beyond Lindblad Approximation: Rigorous Guarantees for Thermal and Ground State Preservation under System-Bath Interactions
Ke Wang, Zhiyan Ding
We establish rigorous guarantees for quantum thermal and ground state preparation via system-bath interactions beyond the Lindblad approximation regime. In contrast to existing ana…
Quantum Replica Exchange
Zherui Chen, Joao Basso, Zhiyan Ding +1
The presence of energy barriers in the state space of a physical system can lead to exponentially slow convergence for sampling algorithms like Markov chain Monte Carlo (MCMC). In…
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…
Simple and efficient end-to-end quantum thermal and ground state preparation
Zhiyan Ding, Yongtao Zhan, John Preskill +1
Quantum computing algorithms for many-body physics, chemistry and materials science typically require the preparation of thermal or ground states for a given Hamiltonian. We propos…
Operator-Level Quantum Acceleration of Non-Logconcave Sampling
Jiaqi Leng, Zhiyan Ding, Zherui Chen +1
Sampling from probability distributions of the form , where is a continuous potential, is a fundamental task across physics, chemistry, biology, computer scie…
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…