Securing the Future Web: How Signature Placement Impacts Post-Quantum TLS

A new study reveals that the location of digital signatures within TLS 1.3 certificate chains critically affects authentication performance as we transition to post-quantum cryptography.


![Analysis of the one-dimensional Heisenberg model reveals that symmetry-resolved entanglement, quantified through the scaling of charge variance [latex]\mathrm{Var}_{q}(L) = 0.0547(1)\ln L + 0.1334(8)[/latex] and number entropy [latex]S^{\mathrm{num}}(L) = 0.3483(9)\ln(\ln L) + 0.409(2)[/latex], exhibits logarithmic corrections indicative of quasi-long-range order, further confirmed by finite-size scaling of the subtracted Rényi entropy, which approaches a linear extrapolation to the thermodynamic limit as [latex]1/\ln L \to 0[/latex].](https://arxiv.org/html/2604.02307v1/x4.png)