QVM-10G Ω v13. 1 introduces a formal semantic routing invariant for tensor-network quantum simulation under nearest-neighbor constraints. This work proves that routed non-local controlled operations preserve exact logical operator identity through permutation-aware logical tracking and dual-operator CNOT selection, guaranteeing: PR^ Uₚhys PR ≡ CX (qc, qₜ) The system eliminates silent control-target inversion failures commonly produced by naive SWAP-based routing in Matrix Product State (MPS) simulators. Empirical validation across Bell, GHZ, QFT, Clifford, deep-circuit, and ablation benchmarks demonstrates fidelity preservation of 1. 000000 under semantic routing, compared to catastrophic fidelity collapse as low as 0. 500000 under naive routing. The implementation operates under strict bounded-memory execution (10 GB ceiling) with formal correctness treated as a first-class invariant rather than an implementation detail.
Mostafa Mohamed Reda Elshater Bosaily (Thu,) studied this question.