{
  "id": "oai:papers.qnfo.org:trapped-ion-quantum-simulation-as-a-falsification-tool-for-the-posner-molecule-h",
  "slug": "trapped-ion-quantum-simulation-as-a-falsification-tool-for-the-posner-molecule-h",
  "title": "Trapped‑Ion Quantum Simulation as a Falsification Tool for the Posner Molecule Hypothesis",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The Posner molecule hypothesis posits that phosphorus‑31 nuclear spins in Ca₉(PO₄)₆ retain quantum coherence long enough to affect neural processes. Existing experimental techniques cannot isolate these spins, and no scalable quantum platform reproduces the hypothesised Hamiltonian with quantified error. We map the Posner spin Hamiltonian onto a trapped‑ion processor by (i) applying a rotating‑frame transformation that removes the Zeeman term without any quantum gates, (ii) using a second‑order Trotter decomposition with two steps per simulated second to implement the weak scalar coupling J≈0.18Hz, and (iii) modelling the dipolar interaction as a Lindblad dephasing channel, which avoids explicit Trotterisation of the dipolar term. The resulting digital‑analog protocol requires six Mølmer‑Sørensen (MS) gates per simulated second for a four‑qubit dimer, runs in 450 mus of wall‑clock time per simulated second, and attains an overall fidelity of F≈0.9704 under a per‑gate fidelity of $0.995$. The combined gate‑error and Trotter‑error budget yields a falsification threshold of 3.1\\% total deviation for the five Posner observables. These quantitative results define a concrete benchmark for near‑term trapped‑ion devices and provide a falsifiable test of the Posner dynamics.",
  "abstract_markdown": "The Posner molecule hypothesis posits that phosphorus‑31 nuclear spins in $\\mathrm{Ca}_{9}(\\mathrm{PO}_{4})_{6}$ retain quantum coherence long enough to affect neural processes. Existing experimental techniques cannot isolate these spins, and no scalable quantum platform reproduces the hypothesised Hamiltonian with quantified error. We map the Posner spin Hamiltonian onto a trapped‑ion processor by (i) applying a rotating‑frame transformation that removes the Zeeman term without any quantum gates, (ii) using a second‑order Trotter decomposition with two steps per simulated second to implement the weak scalar coupling $J\\approx0.18\\,$Hz, and (iii) modelling the dipolar interaction as a Lindblad dephasing channel, which avoids explicit Trotterisation of the dipolar term. The resulting digital‑analog protocol requires six Mølmer‑Sørensen (MS) gates per simulated second for a four‑qubit dimer, runs in $450\\,\\mu\\text{s}$ of wall‑clock time per simulated second, and attains an overall fidelity of $F\\approx0.9704$ under a per‑gate fidelity of $0.995$. The combined gate‑error and Trotter‑error budget yields a falsification threshold of $3.1\\%$ total deviation for the five Posner observables. These quantitative results define a concrete benchmark for near‑term trapped‑ion devices and provide a falsifiable test of the Posner dynamics.",
  "date": "2026-10-20",
  "first_published": "2026-10-20",
  "last_revised": "2026-10-20T05:21:42Z",
  "modified": "2026-10-20T05:21:42Z",
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  "doi": null,
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  "url": "https://papers.qnfo.org/papers/trapped-ion-quantum-simulation-as-a-falsification-tool-for-the-posner-molecule-h",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "Trapped‑Ion Quantum Simulation as a Falsification Tool for the Posner Molecule Hypothesis"
      }
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    "publisher": "QNFO",
    "publicationYear": "2026",
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        "description": "The Posner molecule hypothesis posits that phosphorus‑31 nuclear spins in Ca₉(PO₄)₆ retain quantum coherence long enough to affect neural processes. Existing experimental techniques cannot isolate these spins, and no scalable quantum platform reproduces the hypothesised Hamiltonian with quantified error. We map the Posner spin Hamiltonian onto a trapped‑ion processor by (i) applying a rotating‑frame transformation that removes the Zeeman term without any quantum gates, (ii) using a second‑order Trotter decomposition with two steps per simulated second to implement the weak scalar coupling J≈0.18Hz, and (iii) modelling the dipolar interaction as a Lindblad dephasing channel, which avoids explicit Trotterisation of the dipolar term. The resulting digital‑analog protocol requires six Mølmer‑Sørensen (MS) gates per simulated second for a four‑qubit dimer, runs in 450 mus of wall‑clock time per simulated second, and attains an overall fidelity of F≈0.9704 under a per‑gate fidelity of $0.995$. The combined gate‑error and Trotter‑error budget yields a falsification threshold of 3.1\\% total deviation for the five Posner observables. These quantitative results define a concrete benchmark for near‑term trapped‑ion devices and provide a falsifiable test of the Posner dynamics.",
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