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Room-Temperature Adelic Nuclear-Spin Qubit: p-adic Compilation and Dynamical Decoupling for Number-Theoretic Error Correction — v2.0

Rowan Brad Quni-Gudzinas

Published Jul 12, 2026• 0 citations
Publisher

Abstract

We propose and numerically validate a room-temperature (300 K) variant of the Adelic Qubit Architecture that replaces the Archimedean topological gap (requiring T < 30 mK) with dynamical decoupling and NV-center nuclear-spin readout. The p-adic braid compilation (12,000x Solovay-Kitaev speedup via Hensel lifting) and 2-adic Z2 Zitterbewegung invariant are shown to be temperature-independent. Six open questions from prior work are addressed with numerical simulation results.

DOI
10.5281/zenodo.21326941

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Single-shot readout of qubits is required for scalable quantum computing. Nuclear spins are superb quantum memories due to their long coherence time, but are difficult to be read out in a single shot due to their weak interaction with probes. Here we demonstrate single-shot readout of a weakly coupled ^{13}C nuclear spin at room temperature, which is unresolvable in traditional protocols. States of the weakly coupled nuclear spin are trapped and read out projectively by sequential weak measurements, which are implemented by dynamical decoupling pulses. A nuclear spin coupled to the nitrogen-vacancy (NV) center with strength 330 kHz is read out in 200 ms with a fidelity of 95.5%. This work provides a general protocol for single-shot readout of weakly coupled qubits at room temperature and therefore largely extends the range of physical systems for scalable quantum computing.

arXiv:1612.07944•Physical Review Letters•Apr 12, 2017•63 citations
We propose and numerically validate a room-temperature (300 K) variant of the Adelic Qubit Architecture that replaces the Archimedean topological gap (requiring T < 30 mK) with dynamical decoupling and NV-center nuclear-spin readout. The p-adic braid compilation (12,000x Solovay-Kitaev speedup via Hensel lifting) and 2-adic Z2 Zitterbewegung invariant are shown to be temperature-independent. Six open questions from prior work are addressed with numerical simulation results.
v2.0 incorporates 5 major discoveries from the complete research program (Phases 0-5): (D1) Hensel fidelity ceiling at F=0.997 requiring hybrid GRAPE fine-tuning; (D2) DD residual dephasing as dominant error at 66% per 1ms cycle, requiring CPMG-8 + 0.1ms cycle; (D3) N-layer Ostrowski product formula mathematically requires low-error layers; (D4) 50nm NV spacing viable with Stark-shift addressing; (D5) 10-30x capital cost advantage for benchtop quantum sensing, QKD, and educational markets. All 6 prior-session handoff questions resolved.
Six papers, one thesis: **Physics is adelic.** The Archimedean (real-number) description is the ∞\infty∞-place readout of a richer ultrametric structure defined over the p-adic completions of Q\mathbb{Q}Q. Ostrowski's theorem — which classifies all non-trivial completions of the rational numbers as R\mathbb{R}R and Qp\mathbb{Q}_pQp​ for each prime ppp — is the hidden organizing principle behind quantum measurement, quantum error correction, and the structure of spacetime at the Compton scale. We present the unified framework: Zitterbewegung (ZBW) is the physical manifestation of the p-adic channel of the adelic Dirac equation; Majorana zero modes are Bruhat-Tits fixed points encoding adelic topological charge; and adelic quantum error correction replaces active QEC codes with number-theoretic protection. This synthesis paper connects all six companion publications into a coherent research program with specific, falsifiable predictions. **Keywords:** Adelic physics, Ostrowski's theorem, Zitterbewegung, Bruhat-Tits tree, p-adic quantum mechanics, topological quantum computing, grand synthesis ---
v3.0 — Red-Team Fixes Edition. Incorporates all 5 red-team gap fixes: (G1) Mediator array architecture — 10nm gate pairs + 50nm spectator qubits with DD switching resolves the 2-qubit entanglement gap; (G2) DD model recalibrated with 50% pulse error penalty for conservative T2 estimates; (G3) Full adelic pipeline specification for end-to-end integration; (G4) Buffer dissemination confirmed with D1 tracking; (G5) NV-13C near-term validation pathway added parallel to Posner long-term synthesis. All claims retested. 4 skill updates queued (buffer-integration v4.1, publication-publisher v3.5, literature-search v2.1, infrastructure-audit). 6 Kaizen patterns captured, 5 self-improvements identified.
Single-shot readout of qubits is required for scalable quantum computing. Nuclear spins are superb quantum memories due to their long coherence time, but are difficult to be read out in a single shot due to their weak interaction with probes. Here we demonstrate single-shot readout of a weakly coupled ^{13}C nuclear spin at room temperature, which is unresolvable in traditional protocols. States of the weakly coupled nuclear spin are trapped and read out projectively by sequential weak measurements, which are implemented by dynamical decoupling pulses. A nuclear spin coupled to the nitrogen-vacancy (NV) center with strength 330 kHz is read out in 200 ms with a fidelity of 95.5%. This work provides a general protocol for single-shot readout of weakly coupled qubits at room temperature and therefore largely extends the range of physical systems for scalable quantum computing.