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Register preparation as a signed plan: a deterministic Hungarian / linear-sum- assignment solver that turns a stochastic ~half-full trap load into a defect-free target array at minimum total move distance. - quantum_atom.rs: a trap Array (stochastic load); a centered defect-free target block; the Hungarian algorithm (Kuhn–Munkres with potentials, O(n²m)) over integer Manhattan costs assigning every target site a distinct atom; a Plan (moves + total distance) with an order-independent set verifier (sources present, targets a bijection, every target covered). random load + rearrange_and_seal. - quantum_ops.rs: RearrangeReceipt binds (initial occupancy hash, target hash, plan hash) → (success, atoms_moved, total_distance, joules); merkle + Ed25519, joule ceiling in verify(). success is in the receipt (re-checkable). - wai-web: RearrangeDemo binding (plan + yield transformation + tamper-rejection). Honest boundary: a geometric/combinatorial model — the solver and its optimality are exact (tested vs brute force); transport/loss/AOD physics is out of scope. Tests green (Hungarian optimal over 30 instances, defect-free, infeasible-when- too-few, tamper caught, already-placed atoms don't move). Co-Authored-By: Claude Opus 4.8 <[email protected]> |
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