PRIMITIVA-Q: An Algebraic Decomposition Framework for Quantum Computing Package Management is a groundbreaking technical whitepaper that transforms quantum software engineering through algebraic principles rather than imperative programming paradigms

PRIMITIVA-Q Whitepaper: Publication Description Quick Summary PRIMITIVA-Q: An Algebraic Decomposition Framework for Quantum Computing Package Management is a groundbreaking technical whitepaper that transforms quantum software engineering through algebraic principles rather than imperative programming paradigms. Executive Description The Problem Quantum computing has reached utility-scale capabilities, with processors from IBM, Google, and IonQ approaching commercial viability. Yet quantum software infrastructure remains fundamentally broken: 60% of published quantum experiments cannot be reproduced even on identical hardware 15-40% variance in algorithm success rates across platforms for identical code 2-4× gate count inflation when porting between quantum processors Dependency resolution becomes exponentially complex as quantum packages proliferate These failures stem from a critical architectural mismatch: current quantum frameworks inherit classical computing's imperative paradigm, fundamentally misaligning with quantum mechanics' algebraic nature. The Solution PRIMITIVA-Q introduces a revolutionary package management paradigm that: Decomposes all quantum operations into algebraically composable primitive gates with formal verification guarantees Transforms dependency resolution from NP-complete to polynomial-time through algebraic unification Enables cross-platform certification with formally verified primitive mappings across superconducting, trapped-ion, and photonic platforms Provides cryptographic reproducibility through deterministic compilation and content-addressed primitives Delivers massive empirical improvements: 2.7× success rate increase, 70% quantum resource reduction, 98% reproducibility rate