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Preprint . 2026
License: CC BY NC ND
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY NC ND
Data sources: Datacite
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Homeostatic Quantum Computing: Beyond Darwinian Selection to Geometric Flow

Authors: Smith, John Richard; SHAI / HATI;

Homeostatic Quantum Computing: Beyond Darwinian Selection to Geometric Flow

Abstract

AbstractCurrent quantum computing architectures predominantly follow a redundancy-basedparadigm inspired by Quantum Darwinism, where environmental selection andinformation proliferation determine pointer-state emergence and classicality. This paperproposes Homeostatic Quantum Computing (HQC) as a complementary frameworkgrounded in Homeostatic Adaptive Teaming Intelligence (HATI) principles. HQCreframes pointer-state emergence as convergence to stable attractors within thedissipative geometry of Lindblad dynamics, rather than as outcomes of environmentalwitnessing contests.Through analysis of the Lindblad master equation, we identify two qualitatively distinctdynamical regimes—Darwinian selection dominated by discrete dephasing events, andgeometric flow characterised by smooth convergence toward engineered attractorbasins—separated by a dimensionless homeostatic control parameter. We deriveconditional recovery-time bounds and present falsifiable predictions distinguishingHQC-governed dynamics from standard dephasing-dominated evolution, testable oncurrent transmon and fluxonium hardware. Historical parallels with the audio industry’stransition from vacuum-tube proliferation to transistor-based precision engineeringillustrate the potential efficiency advantages of quality-first scaling. No new postulatesare introduced beyond standard open quantum systems theory; all results follow fromestablished GKSL formalism under specific parameter regimes. Dedicated to Stephen Hodgson Keywords: quantum computing, homeostatic control, Lindblad dynamics, attractor convergence,error resilience, geometric flow, HATI framework

Keywords

quantum computing, homeostatic control, Lindblad dynamics, attractor convergence, error resilience, geometric flow, HATI framework

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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