Phosphorus-31 Spin-½ Nucleus: Quantum Computing and NMR Coherence — E8 Intelligence Research

Q: What does this research mean for the field?

Phosphorus-31 (³¹P) is a stable spin-½ nucleus whose quantum coherence properties are fundamental to its applications in silicon-based quantum computing (Si:P qubits) and NMR spectroscopy. Novelty: ClaimNovelty.SYNTHESIS. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22244858

September 2, 2026Open Access

Phosphorus-31 Spin-½ Nucleus: Quantum Computing and NMR Coherence — E8 Intelligence Research

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Key Points

Summarize the nuclear spin and quantum mechanical properties of phosphorus-31 to assess its coherence behavior in silicon-based quantum computing and NMR spectroscopy.
Reviewed theoretical and pedagogical literature evaluating nuclear spin quantum numbers, fermion pairing, and electron configurations in phosphorus-31 (Z=15, N=16).
Analyzed scalar J-coupling topologies and energy level splitting dynamics governing nuclear magnetic resonance and spin coherence.
Identified phosphorus-31 as an odd-even nucleon system possessing nuclear spin I = 1/2, establishing a foundational two-level system spanning a two-dimensional Hilbert space.
Characterized scalar J-coupling interactions yielding doublet energy level splitting (ΔE = hJ) within single-partner coupling molecular topologies.
Highlighted the stability of nuclear spin coherence lifetimes (T2) in phosphorus-doped silicon (Si:P) platforms for robust solid-state quantum memory.

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Implication

Theoretical review demonstrates spin-½ coherence mechanics of phosphorus-31 in silicon qubit architectures, highlighting its suitability for quantum information processing.

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a9a862b5d9e33f25c631cc3 https://doi.org/10.5281/zenodo.22244858

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Phosphorus-31 Spin-½ Nucleus: Quantum Computing and NMR Coherence — E8 Intelligence Research

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Cite This Study

Phosphorus-31 Spin-½ Nucleus: Quantum Computing and NMR Coherence — E8 Intelligence Research

Key Points

No abstract yet

Implication

Discussion

Cite This Study

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