5 papers
Worst-Case Sample Complexity Bounds for Distributed Inner Product Estimation with Local Randomized Measurements
Zhenyuan Huang, Kun Wang, Ping Xu
We study distributed inner product estimation for -qubit states using local randomized measurements, for which rigorous worst-case guarantees are less understood. We first reduc…
Smirnov Decomposition of a Horizontal Vector Charge in the Heisenberg Group
Zhengyao Huang, Wilhelm Klingenberg
A divergence-free horizontal vector current in Heisenberg space may be viewed as an element of the dual space of horizontal test vector fields. By applying a horizontal Liouville t…
Provably Efficient Long-Time Exponential Decompositions of Non-Markovian Gaussian Baths
Zhen Huang, Zhiyan Ding, Ke Wang +3
Gaussian baths are widely used to model non-Markovian environments, yet the cost of accurate simulation at long times remains poorly understood, especially when spectral densities…
Frozen Gaussian sampling algorithms for simulating Markovian open quantum systems in the semiclassical regime
Limin Xu, Zhen Huang, Zhennan Zhou
Simulating Markovian open quantum systems in the semiclassical regime poses a grand challenge for computational physics, as the highly oscillatory nature of the dynamics imposes pr…
Stochastic Schrödinger equation approach to real-time dynamics of Anderson-Holstein impurities: an open quantum system perspective
Zhen Huang, Limin Xu, Zhennan Zhou
We develop a stochastic Schrödinger equation (SSE) framework to simulate real-time dynamics of Anderson-Holstein (AH) impurities coupled to a continuous fermionic bath. The bath de…