Benchpress quantum compilation

Fewer two-qubit gates on a heavy-hex device, with equivalence checked (placeholder)

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State the benchmark (placeholder)

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	1	+# Benchpress quantum compilation
	2	+
	3	+> Placeholder. This benchmark is here so the benchmark panel can be tried out. Its baseline is from the blueprint or the literature as of 2026-10-19 and must be checked again; every route and score after it is made up.
	4	+
	5	+## Task
	6	+
	7	+Compile benchmark circuits from Benchpress and QASMBench to a 127-qubit heavy-hex coupling map with as few two-qubit gates as possible. Every compiled circuit is checked equivalent to its input. The score is the geometric mean of the two-qubit gate counts relative to Qiskit’s level-3 transpiler, so the baseline is exactly 1.
	8	+
	9	+## How to take part
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	11	+Start a route from `main` (the baseline) or from any route on the leaderboard, keep your files in the route's folder, and push: the verifier scores every commit. Say what your route changes with tags, and keep the misses: a route that scores worse is a result too.