**Overall Verdict:** Strong Accept — The submission is complete, technically coherent, objectively verifiable, and feasible on a suitable single machine using the specified open-source toolchain.

**Completeness Check:**
- Instruction: Complete — The Hamiltonian, boundary conditions, initial state, system sizes, time grid, Trotter order, truncation controls, observables, and conservation requirement are specified.
- Inputs: Complete — No external input data are needed; the hopping matrix and initial state are fully determined by the analytical specification.
- Toolchain: Complete — Julia 1.10 and ITensorMPS.jl provide a legally obtainable implementation path on macOS.
- Reference output: Complete — The required CSV path, schema, row count, time points, aggregation semantics, and numerical accuracy thresholds establish a sufficient output contract.
- Rubric: Complete — Success is objectively measurable through row count, conservation use, error tolerances, discarded-weight semantics, bond dimensions, and final-imbalance relaxation.

**File and Task Reachability:**
The attachment set is **reachable**. `FILES.json` was inspected and contains no uploaded attachments, so no files required downloading, no attachment content remains unreviewed, and there are no attachment-related tooling limitations. The task is **reachable** end to end: a contributor can construct all inputs from the specification, run both the QN-conserving MPS and exact free-fermion calculations, produce the 93-row CSV, and evaluate it against explicit numerical criteria. The reference to momentum-space diagonalization is compatible with diagonalizing the open-chain single-particle hopping matrix into its eigenmode basis and does not obstruct implementation. License keys, accounts, tokens, and other credentials are not required from the contributor. Confidential, proprietary, or internal material may be evaluated as submitted evidence without requiring additional disclosure.

**Special Screening:**
None

**Recommended Changes:**
The submission already defines a substantial professional computational-physics workflow with deterministic inputs and rigorous validation criteria. No changes are required.