Noise as Geometry, Dissipation as Resource: How Quantum Phase Slips, Programmable Decoherence, and Thermodynamic Precision Constraints Reveal a Unified Role for Fluctuations in Quantum Dynamics

Version 2 — revised in response to an external structural review and an automated critique pass. See "Response to Review" appendix in the PDF for the change log.

A persistent assumption in quantum information and quantum thermodynamics holds that noise and dissipation are adversaries to be suppressed. A candidate heuristic reading of several recent preprints across quant-ph and cond-mat.stat-mech suggests a more structured picture: fluctuations — quantum phase slips, engineered logical decoherence, and thermodynamic irreversibility — occupy a spectrum from obstacle to resource, and the position on that spectrum is governed by identifiable geometric and thermodynamic mechanisms rather than by the magnitude of the noise alone. This synthesis draws on six findings: the Keldysh path-integral analysis of quantum synchronization breakdown via phase-slip proliferation [corpus:arxiv:2605.30302]; the companion result on Fock-state limit cycles where phase slips decay exponentially and synchronization is achievable [corpus:arxiv:2605.30271]; the programmable-dissipation framework that repurposes fault-tolerant error correction to sculpt target open-system dynamics [corpus:arxiv:2605.30217]; a geometric argument that non-unital noise expands the manifold of reachable pure states, accelerating approach to Haar-like distributions in a one-qubit model [corpus:arxiv:2605.30026]; the universal thermokinetic decomposition — derived for classical Langevin dynamics — showing that dissipation suppresses fluctuations of predictability rather than enhancing mean predictability at short times [corpus:arxiv:2605.29957]; and the non-linear spin-noise scaling in warm atomic vapors that reveals many-body correlations through a quadratic density dependence [corpus:arxiv:2605.31262]. A weakly connected addendum discusses the improved Lindbladian simulation sample-complexity bounds [corpus:arxiv:2605.30301] as a computational analogue of the same resource-vs-overhead tension. The synthesis is a heuristic reading, not a derivation: the sources share vocabulary and structural analogies but do not share a single formal framework, and the cross-domain bridges are argued at the level of mechanism-level parallel rather than formal equivalence. The central falsification path is: if non-unital noise channels can be shown to *not* accelerate convergence to Haar-like distributions in systems where phase-slip rates are independently controlled, the geometric expansion argument fails. ---

Authorship: Saluca Agentic AI Research Team (Saluca LLC). AI-drafted from arXiv preprint corpus on the date in the filename.

Cited arXiv preprints: 2605.29957, 2605.30026, 2605.30139, 2605.30217, 2605.30271, 2605.30301, 2605.30302, 2605.31262, 2605.31544