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. 2025 May 12;15:16401. doi: 10.1038/s41598-025-01433-0

Table 3.

Quantum information metrics derived from coherence lengths, including decoherence times Inline graphic and entanglement entropy Inline graphic computed from reduced density matrices.

Reaction Inline graphic (cm) Inline graphic (s) Inline graphic Entanglement Mechanism
Inline graphicHInline graphic Inline graphic Inline graphic 0.12 Spin-photon polarization
Inline graphicLiInline graphic Inline graphic Inline graphic 0.72 Spin-orbital coupling
Inline graphicFeInline graphic Inline graphic Inline graphic 0.65 Nuclear spin-photon correlations
Inline graphicBeInline graphic Inline graphic Inline graphic 0.41 Proton-photon angular momentum