Juq470 -

Overview of juq470

juq470 is a lightweight, open‑source utility library designed for high‑performance data transformation in Python. It focuses on providing a concise API for common operations such as filtering, mapping, aggregation, and streaming large datasets with minimal memory overhead.

• Utilises a Quantum Subspace Projector (QSP) to construct a low‑dimensional effective basis for (\mathbfA) that captures dominant spectral components.
• Embeds this subspace into a Classical Preconditioned Krylov Solver (e.g., preconditioned CG), wherein matrix‑vector products are performed on the quantum processor, thereby exploiting quantum parallelism.
• Incorporates an Adaptive Error‑Mitigation Loop that monitors the residual norm and dynamically refines the quantum subspace, ensuring convergence within a prescribed tolerance.

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are ubiquitous in scientific and engineering domains. Classical approaches rely on either direct factorisations (LU, Cholesky) – infeasible for massive sparse matrices due to fill‑in – or iterative Krylov‑subspace methods (CG, GMRES, BiCGSTAB) that depend critically on matrix conditioning and preconditioning strategies. Overview of juq470 juq470 is a lightweight, open‑source