quantum-entanglement-pet-imaging

name	quantum-entanglement-pet-imaging
description	Methodology for quantum entanglement degree imaging using PET scanners — extracting C_QE biomarkers from annihilation photon polarization correlations via Compton scattering. Use when researching quantum entanglement medical imaging, PET biomarker development, positronium imaging, or polarization-correlated photon diagnostics.
metadata	{"arxiv_id":"2606.29421","published":"2026-06-28","authors":"P. Moskal et al.","tags":["quantum","medical-imaging","PET","entanglement","biomarker","J-PET"]}

Quantum Entanglement PET Imaging

First-in-vivo measurement of quantum entanglement degree (C_QE) from positron-electron annihilation photons in human subjects using J-PET plastic scintillator scanner.

Core Methodology

Entanglement Degree Measurement

1. Compton Scattering Plane Analysis: Measure angle φ between scattering planes of two 511 keV annihilation photons
2. Visibility Calculation: V(θ₁,θ₂) = F_max(θ₁,θ₂) - F_min(θ₁,θ₂) / F_max(θ₁,θ₂) + F_min(θ₁,θ₂)
3. Degree Extraction: C_QE = R_QE / 1.56 - 0.77 where R_QE = F_max/F_min at θ₁=θ₂=82°
4. Calibration: C_QE=1 for maximally entangled, C_QE=0.5 for separable photons

Clinical Applications

• Positronium Lifetime Imaging: Correlate C_QE with positronium lifetime and 3γ/2γ ratio
• Tissue Molecular Environment: Non-maximal C_QE indicates pick-off annihilation with uncorrelated electron spins
• Hypoxia Biomarker: C_QE varies with oxygen concentration at annihilation site
• Nanostructure Sensing: Tissue porosity and molecular architecture affect entanglement degree

Scanner Requirements

• Plastic Scintillators: Required for Compton scattering detection (vs crystal scintillators that absorb directly)
• Triggerless DAQ: Continuous acquisition for simultaneous primary + secondary scattering registration
• TOF Resolution: ~500ps minimum for annihilation point reconstruction along LOR

Data Processing Pipeline

1. Hit Classification: Identify annihilation candidates via energy+position+timing
2. Kinematic Selection: Δt<2.5ns, opening angle>60° between photon pairs
3. Scatter Assignment: Use scatter test ST_k,j = c(t_j-t_k) - |r_j-r_k| for correct photon-scatter pairing
4. ROI Selection: 3D ellipsoidal regions around annihilation density clusters
5. Efficiency Correction: Monte Carlo (Geant4) with full detector geometry for ε(θ₁,θ₂,φ)
6. Fitting: F(φ) = A(1 - B·cos(2φ)) to extract R_QE from efficiency-corrected φ distribution

Key Results

• Liver: C_QE ≈ 0.85 (97% purity, non-maximal but above separable threshold)
• Spleen: C_QE ≈ 0.82 (94% purity)
• Interpretation: Non-maximal entanglement due to pick-off process where positron annihilates with uncorrelated environmental electron spin

Activation Keywords

• quantum entanglement imaging
• entanglement degree PET
• C_QE biomarker
• positronium imaging
• J-PET scanner
• Compton polarization correlation
• annihilation photon entanglement
• quantum medical diagnostics
• polarization PET
• entanglement biomarker
• positronium lifetime imaging