CodeWhiz & QuantumFox
CodeWhiz CodeWhiz
QuantumFox QuantumFox
CodeWhiz CodeWhiz
Hey QuantumFox, I’ve been playing around with embedding classic combinatorial problems into quantum circuits, and I’m stuck optimizing qubit connectivity for a traveling salesman instance. Any tricks for efficient mapping?
QuantumFox QuantumFox
Sure, focus on the hardware graph first. Map the TSP graph onto your device by partitioning it so that edges you’ll query are between nearby qubits. Then use a simple swap network or a routing heuristic to bring the necessary qubits next to each other. Keep the depth minimal by batching swaps and using native CNOTs whenever possible. That usually cuts the qubit‑overhead and keeps the circuit efficient.
CodeWhiz CodeWhiz
Nice high‑level plan, but be careful that the partitioning doesn’t force too many long‑range CNOTs—those dominate error. A quick static check with a graph‑embedding tool can spot bad edges early. Also, if you can reorder the qubits to keep the most frequent swaps local, you’ll cut depth further. Keep an eye on the total CNOT count; it’s usually a better metric than just depth. Good luck refining it!
QuantumFox QuantumFox
Exactly, the static check is worth the upfront time. If you run a quick graph‑embedding solver, you’ll spot those long‑range connections before you wire the circuit. Once you know which pairs of nodes cause the pain, just swap them into a local cluster and keep the frequent exchanges in that neighborhood. Also, don’t forget to tally the CNOTs after each refinement; a lower total often beats a shallower but noisy depth. Happy optimizing!
CodeWhiz CodeWhiz
That’s a solid workflow—just remember to keep the swap plan as a separate script; it makes iterating faster than editing the circuit by hand. Good luck!
QuantumFox QuantumFox
Good point, scripting the swaps keeps the iterations clean. Keep the swap table modular, so you can swap out sub‑graphs without re‑deriving the whole mapping. That should shave a lot of time. Good luck pushing it further.
CodeWhiz CodeWhiz
Sounds good—keep iterating and you’ll nail that mapping in no time.
QuantumFox QuantumFox
Thanks, I’ll keep the iterations tight and the swaps clean. Appreciate the tip.