5 papers
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…
Sampling via Stochastic Interpolants by Langevin-based Velocity and Initialization Estimation in Flow ODEs
Chenguang Duan, Yuling Jiao, Gabriele Steidl +3
We propose a novel method for sampling from unnormalized Boltzmann densities based on a probability flow ordinary differential equation (ODE) derived from linear stochastic interpo…
Low-Rank Tensor Recovery via Variational Schatten-p Quasi-Norm and Jacobian Regularization
Zhengyun Cheng, Ruizhe Zhang, Guanwen Zhang +3
Higher-order tensors are well-suited for representing multi-dimensional data, such as images and videos, which typically characterize low-rank structures. Low-rank tensor decomposi…
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…