Scaling Quantum Scattering Calculations with a Novel Iterative Method
![The computational scaling of the WISE algorithm reveals a performance trade-off: while total solution time and the identification of divergent Weinberg eigenvalues scale quadratically with the number of scattering channels [latex] \propto N^{2} [/latex], convergence of the Born series for both the regularized source vector and eigenvectors achieves linear scaling [latex] \propto N [/latex], suggesting a fundamental limit to efficiency as system complexity increases.](https://arxiv.org/html/2601.01159v1/x4.png)
Researchers have developed a new algorithm that dramatically improves the efficiency of quantum scattering calculations, potentially unlocking simulations of more complex molecular collisions.

![Classical syndrome codes-specifically [latex]CSXC_{\mathrm{S}}^{X}[/latex]-demonstrate performance characteristics that implicitly forecast eventual failure modes within the system they attempt to stabilize.](https://arxiv.org/html/2601.01137v1/x1.png)

![The system optimizes semantic communication by assigning repetition counts to quantized embeddings-guided by a policy [latex]\pi_{\theta}[/latex]-to minimize semantic distortion [latex]D_{S}[/latex] while adhering to a predetermined channel-use budget [latex]B[/latex].](https://arxiv.org/html/2601.00186v1/x1.png)