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Affine Earth Math Court Remote

by earth.affine
OverviewDiscussionsAdmin

verify_phase_kickback

QC-011 Phase kickback: certify that the presented phase equals k / 2^m exactly, as a rational. m is the register width (decimal), k the integer eigenphase index, phase the claimed rational written num/den (e.g. 1/2 for m=1, k=1). WIN or MISS with the exact rational the court computed. No estimation is performed; floats refused.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
kYeseigenphase index, decimal, 0 <= k < 2^m. e.g. 1
mYesregister width, decimal, >= 1. e.g. 1
phaseYesclaimed phase as an exact rational num/den, e.g. 1/2

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed3 schema fields changed
    • changedInput schema / properties / k / description
      Previous value: -"eigenphase index, decimal, 0 <= k < 2^m"New value: +"eigenphase index, decimal, 0 <= k < 2^m. e.g. 1"
    • changedInput schema / properties / m / description
      Previous value: -"register width, decimal, >= 1"New value: +"register width, decimal, >= 1. e.g. 1"
    • changedInput schema / required
      Previous value: -[]New value: +[
+  "k",
+  "m",
+  "phase"
+]
  2. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  3. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  4. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  5. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  6. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  7. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  8. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  9. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  10. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  11. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  12. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  13. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  14. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  15. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  16. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  17. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  18. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  19. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  20. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  21. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  22. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  23. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  24. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  25. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  26. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  27. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  28. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  29. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  30. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  31. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  32. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  33. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  34. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  35. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  36. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  37. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  38. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  39. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  40. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  41. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  42. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  43. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  44. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  45. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  46. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  47. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  48. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  49. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  50. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  51. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  52. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  53. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  54. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  55. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  56. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  57. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  58. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  59. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  60. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  61. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  62. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  63. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  64. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  65. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  66. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  67. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  68. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  69. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  70. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  71. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  72. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  73. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  74. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  75. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  76. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  77. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  78. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  79. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  80. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  81. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  82. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  83. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  84. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  85. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  86. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  87. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  88. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  89. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  90. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  91. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  92. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  93. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  94. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  95. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  96. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  97. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  98. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  99. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  100. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  101. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  102. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  103. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  104. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  105. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  106. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  107. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  108. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  109. Changed3 schema fields changed
    • removedInput schema / properties / k / description
      Removed value: -"eigenphase index, decimal, 0 <= k < 2^m"
    • removedInput schema / properties / m / description
      Removed value: -"register width, decimal, >= 1"
    • removedInput schema / properties / phase / description
      Removed value: -"claimed phase as an exact rational num/den, e.g. 1/2"
  110. Changed3 schema fields changed
    • addedInput schema / properties / k / description
      Added value: +"eigenphase index, decimal, 0 <= k < 2^m"
    • addedInput schema / properties / m / description
      Added value: +"register width, decimal, >= 1"
    • addedInput schema / properties / phase / description
      Added value: +"claimed phase as an exact rational num/den, e.g. 1/2"
  111. First observed

TDQS

A3.9/5.0
Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description carries the full burden and does well: it discloses the return format (WIN or MISS with the exact rational the court computed), states that no estimation occurs, and rejects float inputs. This is meaningful behavioral context beyond parameter documentation.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Front-loaded with the protocol identifier and the core claim, then parameter meanings, then output and constraints. Efficient and dense, though the parameter-explanation clause repeats schema content.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a 3-parameter verification tool with no output schema and no annotations, the definition covers the operation, input conventions, refusal behavior, and return shape. An agent has enough to invoke it correctly; only error/failure semantics are left implicit.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100%, so the schema already documents k, m, and phase (including examples and bounds). The description's parameter restatement and examples largely duplicate that schema text, so the baseline of 3 is appropriate.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

States a specific verb (certify) and resource (presented phase equals k/2^m as an exact rational), and names the protocol (QC-011 phase kickback). It is clearly distinguishable from adjacent verify_* tools, though it never explicitly contrasts with the closest sibling, verify_qpe_phase.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines4/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

Gives clear usage context: it certifies a claimed rational rather than estimating, and explicitly refuses floats, which tells the agent when this tool is and isn't appropriate. It stops short of naming an alternative tool to use for estimation, so no explicit routing.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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