Solid state quantum memory using 31P spins in silicon: advantages of hybrid qubit systems

John J. L. Morton, Alexei M. Tyryshkin, Richard M. Brown +7 more

Darin J. Sleiter, N.Y. Kim, Katsuya Nozawa +2 more

Abstract. We propose a novel optical and electrical hybrid scheme for the measurement of nuclear spin qubits in silicon. By combining the environmental insensitivity of the integer quantum Hall effect with the optically distinguishable hyperfine states of phosphorus impurities in silicon, our system can simultaneously offer nuclear spin measurement and robustness against environmental defects. 31P donor spins in isotopically purified 28Si are often discussed as very promising quantum memory qubits due to their extremely long decoherence times, and our proposed device offers an effective implementation for such a quantum memory system.

Andrew Stewart Caldin

The E8 golden-phase resonance lattice, constructed from its 240 root vectors scaled by φ, generates a discrete subharmonic spectrum that maps onto the Larmor precession frequencies achievable for ³¹P nuclear spins in silicon at standard magnetic fields. When the 132 Hz base is phi-coupled, its topological multipolar manifold induces selective destructive interference in the decoherence channels of the spin-1/2 qubit, effectively locking ³¹P nuclear spin states into E8-symmetry-protected error subspaces. This establishes a geometric error-correction principle where the icosahedral symmetry encoded in the E8 root system provides intrinsic fault tolerance for solid-state spin qubits, operating at the level of the nuclear Hamiltonian rather than through engineered pulse sequences. The framework unifies the photonic resonance discovery, the multipolar topological stabilization, and ³¹P spin coherence into a single E8-geometric principle for quantum memory stabilization. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Jean Etesse

Andrew Stewart Caldin

The phi‑recursive chiral filtering of the 240 E8 root vectors defines sunny and excluded angular sectors that support chiral phonon modes at the universal 132 Hz base frequency. When a silicon‑doped 31P lattice is embedded in an E8‑symmetric crystal field, these chiral phonons couple selectively to the spin‑1/2 nuclei via the Zeeman‑mediated hyperfine interaction, creating a decoherence‑free subspace whose splitting scales with the golden‑ratio recursion. This hybrid phonon‑spin resonance enables deterministic initialization, gate operations, and readout of 31P qubits using only low‑frequency mechanical drive, linking E8 geometry to solid‑state quantum computing. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Michelle Yvonne Simmons, Steven R. Schofield, Jeremy L. O’Brien +6 more