⚛️ Harness Path — Shor Mage

1 · shor_mage — quantum resource estimation — an entry in the origin fleet catalogued in The Harness Paths (group: Full loops). The catalogue is the operator's work WITH the harness, not part of the system you adopt; none of its code lives in the harness repo. This is the map entry, so you can see what a filled config looks like at this weight.

(private instance of the author — a single-file harness,
swordsman_mage_pqc.mjs, against a live competitive benchmark)

Reduces the cost of the secp256k1 point-addition circuit a Shor-style attack
would run, against the ecdsa.fail benchmark. The objective is a genuine
product — average executed Toffoli gates × peak qubits — so soulbae runs
as a complement pair (gate-minimiser ⊥ qubit-minimiser, blind to each other)
and soulbis carries a cliff-watcher that scores the whole product and rejects
any move winning one factor at the other's expense past break-even (measured
there at ≈1,184 Toffoli per qubit). The Gap is a GPU island search reseeded by
Fiat-Shamir; the gate is a held-out set of 9,024 witnesses hashed from the
candidate's own operation stream, so the proposer provably could not have
tuned to them, and only a full clean run — zero classical, phase, and ancilla
failures — counts. This instance is where the complement pair and the
cliff-watcher were invented, and where MIRAGE got its name: a candidate that
passes the cheap probe and fails the full validation. Its governing sentence
is "cheaper-but-unvalidated is not progress"; its kill ledger runs to
seventeen entries, each carrying a re-open condition, because killed ≠
impossible.

At a glance —
objective: product — average executed Toffoli × peak qubits, ↓ · gate: 9,024 held-out witnesses hashed from the candidate's own op stream; only a full clean run (zero classical / phase / ancilla failures) counts · hard constraint: exact secp256k1 point-addition semantics — a wrong circuit is not a smaller win
the Gap: a GPU island search reseeded by Fiat-Shamir from the op-stream hash · lenses: gate-minimiser ⊥ qubit-minimiser (the complement pair), with a cliff-watcher scoring the whole product (break-even ≈ 1,184 Toffoli per qubit) · canary: the unoptimized reference circuit — passes its own witnesses by construction
weight: full loop · private · the lesson it carries: MIRAGE got its name here; killed ≠ impossible — seventeen kill entries, each with a re-open condition.

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the wiki is a projection; ~/dual-agent-harness (git) is the source of truth · (⚔️⊥⿻⊥🧙)😊 = neg ⊕ bnot → succ