3 papers
quant-ph2026
Classical Simulation of Noiseless Quantum Dynamics without Randomness
Jue Xu, Chu Zhao, Xiangran Zhang +2
Simulating noiseless quantum dynamics classically faces a fundamental dilemma: tensor-network methods become inefficient as entanglement saturates, while Pauli-truncation approache…
stat.ME2026
A Bayesian Approach for Selecting Relevant External Data (BASE): Application to a study of Long-Term Outcomes in a Hemophilia Gene Therapy Trial
Tianyu Pan, Yiyao Shi, Xiang Zhang +2
Gene therapies aim to address the root causes of diseases, particularly those stemming from rare genetic defects that can be life-threatening or severely debilitating. Although an…
math.AP2025
A Short Survey of the Well-posedness of the Two-dimensional Burgers' Equation
Xiang Zhang, Shuhan Xie, Yule Sun
In this paper, we establish the existence and uniqueness of solutions to the two-dimensional Burgers equation using the framework of infinite-dimensional dynamical systems. The two…