From the 1 of 4 linked papers with an AI index.
4 papers
Algebraic Speedups for Exact Inversion of Hamiltonian Evolutions
Jizhe Lai, Mingrui Jing, Erdong Huang +1
Deterministic exact inversion of an arbitrary -dimensional unitary requires {} coherent forward calls in the worst case. We ask how this cost changes for Hamiltonian evo…
Quantum Imaginary-Time Evolution with Polynomial Resources in Evolution Time
Lei Zhang, Jizhe Lai, Xian Wu +1
The paper proposes a quantum algorithm that efficiently prepares imaginary-time evolved states with polynomial resources in evolution time, using an adaptive normalization factor t…
Thermal-Drift Sampling: Generating Thermal Ensembles for Learning Many-Body Systems
Jiyu Jiang, Mingrui Jing, Jizhe Lai +2
Thermal equilibrium states of many-body Hamiltonians are essential for probing quantum chaos, finite-temperature phases of matter, and training quantum machine learning models, yet…
Near-Optimal Simultaneous Estimation of Quantum State Moments
Xiao Shi, Jiyu Jiang, Xian Wu +3
Estimating nonlinear properties such as Rényi entropies and observable-weighted moments serves as a central strategy for spectrum spectroscopy, which is fundamental to property pr…