9 papers
Poisson-Compiled Quantum Singular Value Transformation for Power-Exponential Dissipation
Chao Wang, Xi-Ning Zhuang, Menghan Dou +2
We study quantum implementations of the contraction for and . Poisson summation provides an exact target--alias--tail decomposition whose…
Simulation of Lindbladian dynamics via adaptive variational quantum trajectory compression
Huan-Yu Liu, Cheng Xue, Yun-Jie Wang +5
Quantum simulation of open quantum systems in the noisy intermediate-scale quantum (NISQ) era is hindered by the non-unitary nature of dissipative dynamics and the limited quantum…
Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition
Chao Wang, Huan-Yu Liu, Cheng Xue +4
Simulating non-Hermitian dynamics on quantum computers is often hindered by the decay of success probability and the instability of non-diagonalizable matrices. Here, we present co…
Positivity and log-Hölder Continuity of Lyapunov Exponents for Multi-Frequency Skew-Shift Schrödinger Operators
Chao Wang, Yuanyuan Peng, Daxiong Piao
We prove the positivity and continuity of the Lyapunov exponent for one-dimensional discrete Schrödinger operators with multi-frequency skew-shift potentials. For the operator $H_…
A Unified Poisson Summation Framework for Generalized Quantum Matrix Transformations
Chao Wang, Xi-Ning Zhuang, Menghan Dou +2
We present a unified algorithmic framework for quantum simulation of non-unitary dynamics and matrix functions, governed by the principle of spectral aliasing derived from the Pois…
Anderson Localization for Schrödinger Operators with Monotone Potentials Generated by the Doubling Map
Yuanyuan Peng, Chao Wang, Daxiong Piao
In this paper, we consider the Schrödinger operators on , defined for all by \begin{equation} (H(x)u)_n = u_{n+1} + u_{n-1} + λf(2^{n} x) u_n,…