{
  "id": "oai:papers.qnfo.org:in-network-hamiltonian-engineering-for-6g-service-model-quantitative-budgets-and",
  "slug": "in-network-hamiltonian-engineering-for-6g-service-model-quantitative-budgets-and",
  "title": "In‑Network Hamiltonian Engineering for 6G: Service Model, Quantitative Budgets, and Re‑Entry Analysis",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Sixth‑generation (6G) network research seeks to embed semi‑classical quantum‑control functionality within the communication fabric, yet designers lack a quantitative budgeting framework that determines whether a Hamiltonian‑engineering service can operate inside quantum‑coherence windows and how much of its control stack survives infrastructure upgrades. This work defines a Hamiltonian Engineering Service (HES) contract, derives a timing and fidelity budget for a node with coherence time T₂=1 ms, engineering‑cycle duration T_c=8 mus, and per‑cycle error budget ε_c=10^-5, and computes N_c=125 cycles per coherence window, accumulated first‑order error 1.25×10^-3, and a projected end‑of‑window fidelity F_proj^(1)=0.99875. Adding a second‑order commutator contribution ε₂=9.81×10^-5 tightens the fidelity projection to F_proj^(2)=0.9986519. The corrected validity condition ε_c≤0.01 T_c/T₂=8×10^-5 replaces a prior 10^-4 claim and generalizes to ε_c≤0.01 T_c/T₂ for any T₂ and T_c. A closed‑loop latency of 1.8×10^-4 s consumes η=0.18 of the coherence window, yielding a minimum coherence T₂^min=9×10^-4 s; for the $10$–100 mus windows reported in current solid‑state hardware the loop budget fails, leaving only feed‑forward operation viable. A re‑entry reuse ratio ρ=0.5 (bounds $0.5$–$0.583$) and a projected re‑qualification effort of $24$ person‑weeks (range $12$–$48$) are derived. All numbers follow analytically from explicitly labeled assumptions; no empirical measurement is claimed. The framework supplies 6G architects a budgeting structure in which cycle time, per‑cycle error, coherence‑window sizing, and actuation rate are co‑managed, and identifies timing distribution—not bandwidth—as the binding engineering constraint.",
  "abstract_markdown": "Sixth‑generation (6G) network research seeks to embed semi‑classical quantum‑control functionality within the communication fabric, yet designers lack a quantitative budgeting framework that determines whether a Hamiltonian‑engineering service can operate inside quantum‑coherence windows and how much of its control stack survives infrastructure upgrades. This work defines a Hamiltonian Engineering Service (HES) contract, derives a timing and fidelity budget for a node with coherence time $T_{2}=1\\,\\mathrm{ms}$, engineering‑cycle duration $T_{c}=8\\,\\mu\\mathrm{s}$, and per‑cycle error budget $\\epsilon_{c}=10^{-5}$, and computes $N_{c}=125$ cycles per coherence window, accumulated first‑order error $1.25\\times10^{-3}$, and a projected end‑of‑window fidelity $F_{\\mathrm{proj}}^{(1)}=0.99875$. Adding a second‑order commutator contribution $\\epsilon_{2}=9.81\\times10^{-5}$ tightens the fidelity projection to $F_{\\mathrm{proj}}^{(2)}=0.9986519$. The corrected validity condition $\\epsilon_{c}\\le0.01\\,T_{c}/T_{2}=8\\times10^{-5}$ replaces a prior $10^{-4}$ claim and generalizes to $\\epsilon_{c}\\le0.01\\,T_{c}/T_{2}$ for any $T_{2}$ and $T_{c}$. A closed‑loop latency of $1.8\\times10^{-4}\\,\\mathrm{s}$ consumes $\\eta=0.18$ of the coherence window, yielding a minimum coherence $T_{2}^{\\min}=9\\times10^{-4}\\,\\mathrm{s}$; for the $10$–$100\\,\\mu\\mathrm{s}$ windows reported in current solid‑state hardware the loop budget fails, leaving only feed‑forward operation viable. A re‑entry reuse ratio $\\rho=0.5$ (bounds $0.5$–$0.583$) and a projected re‑qualification effort of $24$ person‑weeks (range $12$–$48$) are derived. All numbers follow analytically from explicitly labeled assumptions; no empirical measurement is claimed. The framework supplies 6G architects a budgeting structure in which cycle time, per‑cycle error, coherence‑window sizing, and actuation rate are co‑managed, and identifies timing distribution—not bandwidth—as the binding engineering constraint.",
  "date": "2026-10-10",
  "first_published": "2026-10-10",
  "last_revised": "2026-10-25T08:21:13Z",
  "modified": "2026-10-25T08:21:13Z",
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  "url": "https://papers.qnfo.org/papers/in-network-hamiltonian-engineering-for-6g-service-model-quantitative-budgets-and",
  "license_url": "https://legal.qnfo.org/",
  "license_spdx": null,
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  "version_url": "https://papers.qnfo.org/papers/in-network-hamiltonian-engineering-for-6g-service-model-quantitative-budgets-and/v/2.4.0",
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    "creators": [
      {
        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "In‑Network Hamiltonian Engineering for 6G: Service Model, Quantitative Budgets, and Re‑Entry Analysis"
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    "dates": [
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        "date": "2026-10-10",
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        "description": "Sixth‑generation (6G) network research seeks to embed semi‑classical quantum‑control functionality within the communication fabric, yet designers lack a quantitative budgeting framework that determines whether a Hamiltonian‑engineering service can operate inside quantum‑coherence windows and how much of its control stack survives infrastructure upgrades. This work defines a Hamiltonian Engineering Service (HES) contract, derives a timing and fidelity budget for a node with coherence time T₂=1 ms, engineering‑cycle duration T_c=8 mus, and per‑cycle error budget ε_c=10^-5, and computes N_c=125 cycles per coherence window, accumulated first‑order error 1.25×10^-3, and a projected end‑of‑window fidelity F_proj^(1)=0.99875. Adding a second‑order commutator contribution ε₂=9.81×10^-5 tightens the fidelity projection to F_proj^(2)=0.9986519. The corrected validity condition ε_c≤0.01 T_c/T₂=8×10^-5 replaces a prior 10^-4 claim and generalizes to ε_c≤0.01 T_c/T₂ for any T₂ and T_c. A closed‑loop latency of 1.8×10^-4 s consumes η=0.18 of the coherence window, yielding a minimum coherence T₂^min=9×10^-4 s; for the $10$–100 mus windows reported in current solid‑state hardware the loop budget fails, leaving only feed‑forward operation viable. A re‑entry reuse ratio ρ=0.5 (bounds $0.5$–$0.583$) and a projected re‑qualification effort of $24$ person‑weeks (range $12$–$48$) are derived. All numbers follow analytically from explicitly labeled assumptions; no empirical measurement is claimed. The framework supplies 6G architects a budgeting structure in which cycle time, per‑cycle error, coherence‑window sizing, and actuation rate are co‑managed, and identifies timing distribution—not bandwidth—as the binding engineering constraint.",
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