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Trapped-Ion Quantum Computers and Posner Molecules: A Research Exploration

Project: Investigating the deep structural connections between trapped-ion quantum computing platforms and the Posner molecule (Ca₉(PO₄)₆) hypothesis for biological quantum cognition.

Initiated: 2026-05-26

Thesis

Trapped-ion quantum computers and Posner molecules share a fundamental substrate — controlled nuclear/electronic spin states in calcium-containing systems — yet operate at opposite extremes of the quantum engineering spectrum: one in ultra-high vacuum with electromagnetic precision, the other in warm, wet biological environments. Understanding the connection between these two domains may reveal:

  1. Whether trapped-ion quantum simulators can model Posner molecule spin dynamics
  2. How insights from ion trap coherence engineering can inform biological quantum hypotheses
  3. Whether the calcium ion's nuclear spin physics, extensively characterized in ion traps, constrains or supports the Posner molecule model

Key Research Questions

  • What does trapped-ion QC tell us about calcium nuclear spin coherence that applies to Posner molecules?
  • Can trapped-ion quantum simulators model the ³¹P nuclear spin dynamics of Posner molecules?
  • How does the "spin-free" calcium environment (⁴⁰Ca, I=0) in Posner molecules compare to the engineered vacuum of ion traps?
  • What are the decoherence timescales in each system and what do they imply?

DOI

10.5281/zenodo.20411697

Phase

P3 Review / P4 Publication — Complete research paper (v1.0), PDF rendered (874 KB), Zenodo DOI registered, published to GitHub Releases.

Status

Active — Full research pipeline complete: 12 research files (0.1–0.12), complete paper at 0.12.md (~5,900 words, 8 sections), edge case analysis (0.11.md), landscape survey (0.9.md), resource estimation (0.5.md), simulation protocol (0.4.md).

Files

Version File Description
0.1 0.1.md Initial framing and literature survey
0.2 0.2.md Deep-read analysis of Adams & Petruccione (2025)
0.3 0.3.md Posner molecule spin Hamiltonian parameter extraction
0.4 0.4.md Trapped-ion simulation protocol
0.5 0.5.md Resource estimation
0.6 0.6.md High-field effect analysis
0.7 0.7.md Nuclear-to-biochemical readout chain
0.8 0.8.md Section 3 draft: The Spin-Free Substrate
0.9 0.9.md Landscape survey
0.10 0.10.md Research paper outline
0.11 0.11.md Edge cases and limitations
0.12 0.12.md Complete research paper (~5,900 words, 8 sections)
The_Spin-Free_Substrate_v1.0.pdf Rendered PDF (874 KB)

GitHub Integration

Resource Link
Repository https://github.com/QNFO/trapped-ion-posner-connection
Issues (Task Tracking) https://github.com/QNFO/trapped-ion-posner-connection/issues
Project State #6
Wiki (Learnings & Decisions) https://github.com/QNFO/trapped-ion-posner-connection/wiki
Discussions https://github.com/QNFO/trapped-ion-posner-connection/discussions
Releases https://github.com/QNFO/trapped-ion-posner-connection/releases
QWAV Program Board https://github.com/orgs/QNFO/projects/1
QWAV Sprint Board https://github.com/orgs/QNFO/projects/2

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Investigating deep structural connections between trapped-ion quantum computing and the Posner molecule hypothesis

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