two hooked nests · the ON switch · a pair of pairs

one nest stores · two hooked nests entangle — and entanglement + the hook\u2019s 2-qubit gate = universal computing · cut the hook = memory, join it = a computer

what you have

nests2 (a pair of pairs)
logical qubits2
physical sub-qubits4
state space2⁴ = 16 amplitudes
the hookcut — MEMORY (apart)
modetwo stored qubits

the two scales

level 0 — inner sub-qubits coupled inside each nest
level 1 — the two nests coupled through the hook
a pair of pairs — concatenation + a 2-layer tensor network. stack more and it recurses: pairs of pairs of pairs.

Two nested qubits joined by a hook. Each nest is an outer logical qubit encoded in a coupled inner pair. Cutting the hook leaves two stored qubits, memory. Joining it entangles the two logical qubits into a Bell pair, and with the hook's two-qubit gate plus single-qubit gates that is universal quantum computation. A pair of pairs, recursing.