nativ3topology IDE
CIRCUIT TOPOLOGY → NODE CLASSIFICATION → FAULT ISOLATION
FAULT-ISOLATED
Topology
Spokes
3
Analysis
Qubits4
Gates3
Relays0
Hubs1
Spokes3
PAPER
DOI: 10.5281/zenodo.19210676
Directed Gate Graph
q0hubq1spokeq2spokeq3spoke
Node Classification
QubitTypeRelayStatus
q0HUB0SAFE
q1SPOKE0SAFE
q2SPOKE0SAFE
q3SPOKE0SAFE
Theorem 2: Relay Load → Fidelity Cost
0π/4π/2F = cos⁴(α)
THE RELAY-BIT PRINCIPLE
A qubit propagates errors if and only if it serves as a CNOT control after serving as a target. r(q) = 1 → relay → propagates. r(q) = 0 → hub or spoke → fault-isolated. Circuits with zero relays achieve total fault isolation at zero additional cost.