{
  "id": "oai:papers.qnfo.org:viscoelastic-gating-of-spin-coherence-in-synthetic-hydrogels-a-unified-theoretic",
  "slug": "viscoelastic-gating-of-spin-coherence-in-synthetic-hydrogels-a-unified-theoretic",
  "title": "Viscoelastic Gating of Spin Coherence in Synthetic Hydrogels: A Unified Theoretical Analysis",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Warm‑temperature quantum information processing is limited by rapid spin dephasing in liquid environments. Existing solid‑state platforms such as nitrogen‑vacancy (NV) centres in diamond achieve millisecond‑scale coherence only at cryogenic temperatures, while biological media appear unsuitable for macroscopic quantum states. The present work bridges soft‑matter engineering and quantum coherence by proposing a viscoelastic gating mechanism: increasing the local viscosity of a synthetic hydrogel suppresses rotational dephasing of embedded spin‑bearing clusters, thereby extending the transverse relaxation time T₂^*. We construct a minimal analytical model in which the dephasing rate Γ scales inversely with the rotational diffusion coefficient D_r, which itself scales as 1/η. This yields a linear relation T₂^*=k η. Calibration against the experimentally reported T₂^*=400 mus for NV centres in water (η_water=1.0×10^-3 Pa· s) determines k=0.4 mathrms Pa^-1. The model predicts that a hydrogel viscosity of η_target=2.5×10^-3 Pa· s is sufficient to reach T₂^*=1 ms at 310 K. This quantitative result provides a concrete design target for hydrogel synthesis and establishes a clear falsification criterion: if measured T₂^* decreases with increasing η, the viscoelastic gating hypothesis fails. The analysis is purely analytical (Technology Readiness Level 2) and outlines the next experimental step required to validate the prediction.",
  "abstract_markdown": "Warm‑temperature quantum information processing is limited by rapid spin dephasing in liquid environments. Existing solid‑state platforms such as nitrogen‑vacancy (NV) centres in diamond achieve millisecond‑scale coherence only at cryogenic temperatures, while biological media appear unsuitable for macroscopic quantum states. The present work bridges soft‑matter engineering and quantum coherence by proposing a viscoelastic gating mechanism: increasing the local viscosity of a synthetic hydrogel suppresses rotational dephasing of embedded spin‑bearing clusters, thereby extending the transverse relaxation time $T_{2}^{*}$. We construct a minimal analytical model in which the dephasing rate $\\Gamma$ scales inversely with the rotational diffusion coefficient $D_{r}$, which itself scales as $1/\\eta$. This yields a linear relation $T_{2}^{*}=k\\,\\eta$. Calibration against the experimentally reported $T_{2}^{*}=400\\;\\mu\\mathrm{s}$ for NV centres in water ($\\eta_{\\mathrm{water}}=1.0\\times10^{-3}\\;\\mathrm{Pa\\cdot s}$) determines $k=0.4\\;\\mathrm{s\\;Pa^{-1}}$. The model predicts that a hydrogel viscosity of $\\eta_{\\mathrm{target}}=2.5\\times10^{-3}\\;\\mathrm{Pa\\cdot s}$ is sufficient to reach $T_{2}^{*}=1\\;\\mathrm{ms}$ at $310\\;\\mathrm{K}$. This quantitative result provides a concrete design target for hydrogel synthesis and establishes a clear falsification criterion: if measured $T_{2}^{*}$ decreases with increasing $\\eta$, the viscoelastic gating hypothesis fails. The analysis is purely analytical (Technology Readiness Level 2) and outlines the next experimental step required to validate the prediction.",
  "date": "2026-10-20",
  "first_published": "2026-10-20",
  "last_revised": "2026-10-20T00:00:00Z",
  "modified": "2026-10-20T00:00:00Z",
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  "url": "https://papers.qnfo.org/papers/viscoelastic-gating-of-spin-coherence-in-synthetic-hydrogels-a-unified-theoretic",
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    "creators": [
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "Viscoelastic Gating of Spin Coherence in Synthetic Hydrogels: A Unified Theoretical Analysis"
      }
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    "publicationYear": "2026",
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        "description": "Warm‑temperature quantum information processing is limited by rapid spin dephasing in liquid environments. Existing solid‑state platforms such as nitrogen‑vacancy (NV) centres in diamond achieve millisecond‑scale coherence only at cryogenic temperatures, while biological media appear unsuitable for macroscopic quantum states. The present work bridges soft‑matter engineering and quantum coherence by proposing a viscoelastic gating mechanism: increasing the local viscosity of a synthetic hydrogel suppresses rotational dephasing of embedded spin‑bearing clusters, thereby extending the transverse relaxation time T₂^*. We construct a minimal analytical model in which the dephasing rate Γ scales inversely with the rotational diffusion coefficient D_r, which itself scales as 1/η. This yields a linear relation T₂^*=k η. Calibration against the experimentally reported T₂^*=400 mus for NV centres in water (η_water=1.0×10^-3 Pa· s) determines k=0.4 mathrms Pa^-1. The model predicts that a hydrogel viscosity of η_target=2.5×10^-3 Pa· s is sufficient to reach T₂^*=1 ms at 310 K. This quantitative result provides a concrete design target for hydrogel synthesis and establishes a clear falsification criterion: if measured T₂^* decreases with increasing η, the viscoelastic gating hypothesis fails. The analysis is purely analytical (Technology Readiness Level 2) and outlines the next experimental step required to validate the prediction.",
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