nativ3topology-aware quantum compiler
RELAY-BIT FAULT ISOLATION
7 RELAYS
PyPIGitHubPaper
pip install nativ3|pip install nativ3[qiskit]← Qiskit transpiler plugin
Presets
Circuit (gates: "0→1" / QASM / "h 0")
Qubits13
CNOTs24
Relays7
Hubs3
Spokes3
Relays
q0 α=0.000 F=1.0000 FREE
q1 α=0.000 F=1.0000 FREE
q2 α=0.000 F=1.0000 FREE
q3 α=0.000 F=1.0000 FREE
q4 α=0.000 F=1.0000 FREE
q5 α=0.000 F=1.0000 FREE
q6 α=0.000 F=1.0000 FREE
Gate Graph
q0relayr=1q1relayr=1q2relayr=1q3relayr=1q4relayr=1q5relayr=1q6relayr=1q7hubq8hubq9hubq10spokeq11spokeq12spoke
Nodes
QTyperαFStatus
q0RELAY10.000FREEPROPAGATES
q1RELAY10.000FREEPROPAGATES
q2RELAY10.000FREEPROPAGATES
q3RELAY10.000FREEPROPAGATES
q4RELAY10.000FREEPROPAGATES
q5RELAY10.000FREEPROPAGATES
q6RELAY10.000FREEPROPAGATES
q7HUB00.000-SAFE
q8HUB00.000-SAFE
q9HUB00.000-SAFE
q10SPOKE00.000-SAFE
q11SPOKE00.000-SAFE
q12SPOKE00.000-SAFE
Error Paths
q7 → q0 → q10(2 hops)
q8 → q1 → q11(2 hops)
q9 → q3 → q12(2 hops)
RELAY-BIT PRINCIPLE
r=1 iff target then control. Zero relays = total fault isolation. No error correction needed for this class of errors. Topology provides the protection.
Twenty-Four Theorems · Non-transitivity · General fidelity · CZ duality · Fault isolation · Container · Builder memory · N-relay · Transfer matrix · Projector · Disorder decay · CZ polynomial · Universal linearity · General formula · Universal 4×4 transfer matrix
DOI: 10.5281/zenodo.19319040