Siloed Searches: Transforming Queries for Cross-Organization Data Access
![The system architecture preserves data sovereignty through a five-phase workflow across organization-specific vector spaces, and achieves computational isolation of queries via a multi-stage transformation-[latex]vector2Trans[/latex]-employing permutation, cryptographic blinding, a bounded non-linearity [latex]f_{\beta}[/latex], orthogonal rotation [latex]W[/latex], and L2 normalization while retaining retrieval utility.](https://arxiv.org/html/2604.09541v1/Graph/overview.png)
A new approach to Retrieval-Augmented Generation shifts the focus from protecting documents to transforming queries, enabling secure and efficient data sharing between organizations.

![The study demonstrates that, within a Bianchi I universe populated by radiation, the Hubble horizon-defined as [latex]L_{H} \equiv (aH)^{-1}[/latex]-exhibits qualitatively consistent behavior across varying initial conditions established at [latex]t=0[/latex], as evidenced by the consistent evolution of [latex] \pi_{i}(0)[/latex] and [latex] c_{i}(0)[/latex]-a finding expressed in Planck units.](https://arxiv.org/html/2604.08912v1/x4.png)
![The syndrome distribution of the honeycomb-lattice toric code, perturbed by [latex]ZZ[/latex]-type coherent errors, is recast as a non-interacting, monitored circuit acting on a Majorana chain with distinct [latex]AA[/latex] and [latex]BB[/latex] sublattices-a transformation belonging to symmetry class D-where the statistical model’s disordered structure maps directly to circuit blocks evolving between discrete timesteps.](https://arxiv.org/html/2604.08650v1/x17.png)
![The evolution from ChaCha20 to EChaCha20 demonstrates an expansion of the state from [latex]4 \times 4[/latex] to [latex]6 \times 6[/latex], achieved through the addition of 4-bit (purple) and 2-bit (cyan) rotations to its QR-F, thereby enhancing the cipher’s complexity and security.](https://arxiv.org/html/2604.08862v1/images/evo.png)