THE BEST LATTICE

LITThe anchoring figures, each checked against its source this run, are in the table. READINGThe 0–5 scores are my judgement, not measurements. Move the weights and the ranking re-sorts itself. No single lattice wins every column.

Verdict

Best memory: Eu:YSO (≈6 h nuclear coherence, optically addressable), with ²⁸Si:P⁺ next (3 h cryogenic, 39 min at room temperature). Best room-temperature qubit: diamond NV (optical readout at room temperature, 1.8 ms T₂ in ¹²C-enriched diamond); hBN emitters are room-temperature single-photon sources, not yet long-lived memories. Best scalable today: neutral-atom optical lattices and tweezer arrays (6,100 atoms, 12.6 s coherence, 99.5% parallel CZ, 48 logical qubits), with ²⁸Si quantum dots as the long-term chip-foundry bet. Best fidelity: trapped-ion Coulomb crystals (99.914% two-qubit). Best topological: no material has delivered a topological qubit. Kitaev honeycomb (α-RuCl₃) and kagome / moiré flat bands are research stages.

Overall pick: isotopically purified silicon-28 as a lattice. It is the only crystal on the list that is at once a record memory (hours), a >99% gate platform and the substrate of the world's chip industry. If "lattice" includes lattices of light, the optical tweezer array is the nearer-term leader in qubit count. This is a judgement call; under different weights the scorecard ranks a different winner.

ANALOGYDave's 8-colour q.d (−+2³) is three binary ± axes, giving 8 corners; three qubits likewise span 2³ = 8 basis states, and the Bravais cube has 8 corners. A 0-sphere (2 dots, Σ = 0) mirrors a spin singlet, two spins whose total is zero, which is exactly what decoherence-free memories exploit. These are analogies only, not physics claims.

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