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quant-ph2025
Quantum Regression Theory and Efficient Computation of Response Functions for Non-Markovian Open Systems
Xiantao Li, Chunhao Wang
Linear response functions are a cornerstone concept in physics as they enable efficient estimation of many dynamical properties. In addition to predicting dynamics of observables u…
quant-ph2025
Time-Dependent Hamiltonian Simulation via Time-Independent Dynamics in a Larger Space
Zecheng Li, Chunhao Wang
In this paper, we present a proof-of-concept quantum algorithm for simulating time-dependent Hamiltonian evolution by reducing the problem to simulating a time-independent Hamilton…
quant-ph2025
Quantum Speedups for Sampling and Non-convex Optimization with Stochastic Oracles
Guneykan Ozgul, Xiantao Li, Mehrdad Mahdavi +1
We present quantum speedups for sampling from distributions of the form on . We consider two stochastic oracle models: a stochastic gradient oracle,…