# Release v0.5.33: Linear-optical quantum teleportation Private proof snapshot: `bc6ec6054e308654f2f2b010c66474b12719cc43`. Previous public main: `27be20e1c3de0d6ac1f9046ae0ad425f3ffcc59b`. ## Proven scope and assumptions The module derives an optical quantum instrument on the twenty-dimensional invariant sector (ten Alice Fock outcomes times two Bob modes). Its ten Kraus operators come from the existing Bell analyzer and resource embedding; their completeness is proved. The successful branches are E_minus(rho) = XZ rho (XZ)†/4 and E_plus(rho) = X rho X†/4. Each has probability 1/4 for every density operator, including mixed inputs; total success is 1/2. Unitary corrections ZX and X give the successful channel rho/2, so normalization recovers rho with squared Uhlmann fidelity one. Without Alice's classical record the uncorrected channel is I₂/2. The physical partial trace and the abstract teleportation protocol are linked. Regressions include |0>, |1>, |+>, |+i>, the maximally mixed input and trace preservation. Incorrect correction Z leaves residual -X: |+> is preserved, but |0> and |+i> have squared fidelity zero. Of the six inconclusive detector outcomes, four have double occupation and two are dark on the embedded input sector. The result concerns this conditional passive linear-optical scheme, with a supplied ideal Phi-plus resource, matching photon wave packets, ideal detector projection and classical feed-forward. Resource generation, deterministic teleportation, universal optical discrimination bounds, spectral distinguishability, losses, dark counts and detector noise are not modeled. Python, JSON/SHA-256 and SimLab correctness obligations remain open. ## Measured public validation | Check | Measured public result | |---|---:| | Direct MasterSuite imports | 135 | | Lean files under Verification/ | 175 top-level + 2 auxiliary = 177 | | Root-inclusive sources identical to the private snapshot | 178 | | Clean strict build | 3725 jobs; no warnings | | Complete verifier audit | 16901 declarations; no violations | | Pinned independent full audit | 16901 declarations; no violations | | Public live tests | 80; no failures or skips; 276.334s | Both full audits allow only propext, Classical.choice and Quot.sound. The registry audit and knowledge catalog passed separately. The independent full auditor is pinned to source commit 46024e005996495c65ef609368e11ab39c4222e3 and binary SHA-256 8a045cbabfa078df6577541d9768d5971ce573915f40e60806f32a50c3ffc254. Project toolchain is v4.33.1; the auditor source toolchain file records v4.32.0-rc1. The executable is pinned separately; no second independent proof kernel is asserted. The project build directory started empty. Pinned dependency caches were copied into this isolated tree. All public checks were rerun against this release candidate. Declaration counts include generated declarations, not just mathematical theorems. ```bash lake build --wfail python3 tools/verifier_skill.py verify-all LEAN_VERIFIER_LIVE_TESTS=1 python3 -m unittest discover -s tests -p "test_*.py" lake env lean -DwarningAsError=true Verification/AxiomAudit.lean lake env /tmp/simon-axiom-audit-source/.lake/build/bin/axiom-audit --root Verification --allow propext,Classical.choice,Quot.sound --json python3 scripts/check_knowledge.py ``` All 178 Lean sources match the private snapshot byte-for-byte. Repeated English exports agree. Integration is idempotent. Earlier subject cards and historical public reports are preserved; Russian cards are not exported. Reservoir metadata are retained; external indexing is not asserted. ## Publication and preservation Publication uses sequential pushes: main first, confirm its remote SHA, then annotated v0.5.33. Existing tags are not overwritten. A separate receipt records the remote commit, tag object and peeled tag SHA. Original workspace HEAD and 406 tracked-file hashes outside simulations/ are preserved. This task makes no writes to simulations/; concurrent external activity is not covered by a global immutability claim. [Detailed contract](../knowledge/03_quantum_physics_and_optics/PhotonicsQuantumTeleportation.md) · [Hashes and measured commands](../tools/validation_snapshot.json)