58 citations · 177 across the 18 of their papers we have counts for
6 papers · 1 filter
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…
Rapid initial state preparation for the quantum simulation of strongly correlated molecules
Dominic W. Berry, Yu Tong, Tanuj Khattar +8
Studies on quantum algorithms for ground state energy estimation often assume perfect ground state preparation; however, in reality the initial state will have imperfect overlap wi…
Lower bound for simulation cost of open quantum systems: Lipschitz continuity approach
Zhiyan Ding, Marius Junge, Philipp Schleich +1
Simulating quantum dynamics is one of the most promising applications of quantum computers. While the upper bound of the simulation cost has been extensively studied through variou…
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…