{
  "artifact": "Complex-amplitude arithmetic checker",
  "chapter": "Complex Numbers for Quantum Computing",
  "chapter_url": "https://www.steven-geller.com/playground/quantum/book/08-complex-numbers-for-quantum-computing/",
  "date_modified": "2026-08-14",
  "dependencies": [],
  "expected_exit_code": 0,
  "expected_stdout": "PASS: 08 complex amplitudes verify 3 polar products and 3 normalized states; max polar error=1.78e-15, global-phase probability shift=0.00e+00\n",
  "fixture_sha256": "6961b4c4b624ed0cf1b67ff70c5765ac4dc1631bd18ff918e88697eaf552f8d0",
  "manifest_test_command": "python3 tools/validate_briefs.py --briefs data/editorial_briefs_00_35.json --from 0 --through 35 --check-rewritten-sources --execute-artifacts",
  "pass_condition": "Fixtures verify conjugation, modulus, polar multiplication, normalization, and phase-equivalent probabilities.",
  "python_requires": ">=3.11",
  "run_command": "python3 fixture.py",
  "schema_version": "1.1.0",
  "test_method": "Run the isolated fixture; require exit code 0 and exact stdout."
}