17 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…
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…
Quantum homotopy analysis method with quantum-compatible linearization for nonlinear partial differential equations
Cheng Xue, Xiao-Fan Xu, Xi-Ning Zhuang +8
Nonlinear partial differential equations (PDEs) are crucial for modeling complex fluid dynamics and are foundational to many computational fluid dynamics (CFD) applications. Howeve…
Variational quantum simulation of many-body dissipative dynamics on a superconducting quantum processor
Huan-Yu Liu, Tai-Ping Sun, Zhao-Yun Chen +7
Open quantum systems host a wide range of intriguing phenomena, yet their simulation on well-controlled quantum devices is challenging, owing to the exponential growth of the Hilbe…