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arXiv:0803.2021 · Nature

Solid-state quantum memory using the 31P nuclear spin

John J. L. Morton, Alexei M. Tyryshkin, Richard M. Brown, Shyam Shankar, Brendon W. Lovett, Arzhang Ardavan, Thomas Schenkel, Eugene E. Haller, Joel W. Ager, S. A. Lyon

Published Oct 1, 2008• 436 citations
arXivHTMLPDF
DOI
10.1038/nature07295

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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
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.
We propose to implement a solid-state rotation sensor by employing a many-body quantum spin system which takes the advantages of the easy controllability of the electron spin and the robustness provided by the collective nuclear spin state. The sensor consists of a central electron spin coupled to many surrounding nuclear spins. Previously, this central spin system has been suggested to realize a quantum memory. Here, we further utilize the collective nuclear spins, which store a certain quantum state, to detect the macroscopic rotation. Different from other nuclear spin-based gyroscopes, our proposal does not directly manipulate nuclear spins via nuclear magnetic resonance technique. We analytically and numerically investigate the effects of partial nuclear polarization and decoherence on the sensitivity. We also briefly introduce the procedure to generate entanglement between nuclear spins through the quantum memory technique and to utilize this entanglement to enhance the sensing performance. Our proposal paves the way to the experimental realization of a compact solid-state, full-electrical, and spin-based gyroscope.