58 citations · 120 across the 9 of their papers we have counts for
10 papers
Bath-assisted cooling without resets
Xie-Hang Yu, Zherui Chen, Lin Lin
Cooling an arbitrary mixed state to a pure ground state requires transferring its entropy to an environment. Can a single coherent bath contact accomplish this without repeated bat…
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…
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…
Polynomial-Time Preparation of Low-Temperature Gibbs States for 2D Toric Code
Zhiyan Ding, Zeph Landau, Bowen Li +2
We propose a polynomial-time algorithm for preparing the Gibbs state of the two-dimensional toric code Hamiltonian at any temperature, starting from any initial condition, signific…
Efficient quantum Gibbs samplers with Kubo--Martin--Schwinger detailed balance condition
Zhiyan Ding, Bowen Li, Lin Lin
Lindblad dynamics and other open-system dynamics provide a promising path towards efficient Gibbs sampling on quantum computers. In these proposals, the Lindbladian is obtained via…
The ESPRIT algorithm under high noise: Optimal error scaling and noisy super-resolution
Zhiyan Ding, Ethan N. Epperly, Lin Lin +1
Subspace-based signal processing techniques, such as the Estimation of Signal Parameters via Rotational Invariant Techniques (ESPRIT) algorithm, are popular methods for spectral es…
Quantum Multiple Eigenvalue Gaussian filtered Search: an efficient and versatile quantum phase estimation method
Zhiyan Ding, Haoya Li, Lin Lin +3
Quantum phase estimation is one of the most powerful quantum primitives. This work proposes a new approach for the problem of multiple eigenvalue estimation: Quantum Multiple Eigen…
Simulating Open Quantum Systems Using Hamiltonian Simulations
Zhiyan Ding, Xiantao Li, Lin Lin
We present a novel method to simulate the Lindblad equation, drawing on the relationship between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations.…
Random coordinate descent: a simple alternative for optimizing parameterized quantum circuits
Zhiyan Ding, Taehee Ko, Jiahao Yao +2
Variational quantum algorithms rely on the optimization of parameterized quantum circuits in noisy settings. The commonly used back-propagation procedure in classical machine learn…