Quadratic Triangle Bridge · 22 hot · 2 not

Φ(ξ) = N₁(ξ) Ψ_A + N₂(ξ) Ψ_B + N₃(ξ) Ψ_C · Nᵢ = Lᵢ² / (L₁²+L₂²+L₃²) · L₁+L₂+L₃ = 1

Geometric domain · drag ξ inside the horizon

Vertex A · Node 1

—

22 Hot Generators

Vertex B · Node 2

—

d₃ consume · not a rail pile

Vertex C · Node 3

—

2 Not · invariant clamp

Bridge coupling · live

Φ = —

L = (—, —, —)

Law	Value
d₃² residual	—
‖d₃‖_F	—
strain tr(S)	—
flux evenness	—
partition ΣNᵢ	—

22 are hot. 2 are not. The 2 not sit at C and never enter d₃. Nilpotency d₃² = 0 is algebraic on the 22. Quadratic strain cannot warp it.

22 hot · 2 not · one 24-qubit tile (11 pairs + quarantine)

FIG. 2 · 12×12×12 cube · 1,728 qubits · 22-HOT-2-NOT per slice

12 stacked 12×12 planes. Each plane = 144 = 6 tiles × (22 hot + 2 not). NOT voxels are the quarantine between slices — no context bleed up the cube. MPS bond D stays local to a 144-block. MC290 wide register = 1,740 (12 over the cube).

Cube

1,728

12×12×12

Hot in cube

1,584

12 × 132

Not in cube

144

12 × 12 quarantine

Ledger

1,740

1728 + 12 seals

slice zz = 0 / 11

● 22 HOT ● 2 NOT (quarantine) tile 4×6 = 24 · 3 across × 2 down = 12×12 slice 144 seated

MC290 · 1,740q ledger · 12 rows × (144 cube + 1 seal)

q0000–q1727 live in the cube. q1728–q1739 are the 12 slice seals — one ledger qubit per z. Seals are not hot and not tile-NOT; they do not enter d₃. 1,584 hot + 144 not + 12 ledger = 1,740.

● hot 1,584 ● not 144 ● ledger 12 1,740 seated ledger-1740.json

z	slice	hot	not	seal

FIG. 1 receipts · physical QPU + MPS ladder

Cepheus-1-108Q is reduction-to-practice. MC290_DEG1_F6_1740 is the classical 1,740q scaffold that fills this ledger. Distinct-4 on every MPS rung. GOV_ANGLE = 1.941611038725467 in the compiled RZ.

Cepheus-1-108Q

28q · 100 shots

100 distinct · COMPLETED

GOV_ANGLE

1.9416110387

compiled RZ · qubit 39

MPS 1740

31.6 s

distinct 4 · sha bbc23fd6

Engine	Circuit	Q	Wall	Distinct	SHA / ARN
QPU	proverbs-2728 Cepheus p28	28	1.2 s	100/100	9e771174
MPS	MC290_DEG1_F1	290	3.2 s	4	7ecf3f30
MPS	DEG4_GRS-Q8_192	192	0.1 s	4	10022841
MPS	DEG4_PP-QHP-12_256	256	0.2 s	4	308c3187
MPS	MC290_DEG1_F6_1740	1740	31.6 s	4	bbc23fd6
MPS	DEG7_PP-QHP-12_2048	2048	2.2 s	4	424fafbe

device arn:aws:braket:us-west-1::device/qpu/rigetti/Cepheus-1-108Q · task 9e771174-09c6-4ff9-a890-d1b46b10e416 · 2026-08-12T01:49:12Z · 150 CZ · account 125746528360 · cepheus-p28-receipt.json · mps-ladder.json

Second-order strain · 3×3

	A	B	C

S_ij = ∂²Φ/∂Lᵢ∂Lⱼ + (1/22) 1 1ᵀ flux-even term on the hot set. The 2 not are out of the average. Eigen-spread is the warp; d₃ kernel is held at C.