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Glama

Affine Earth Math Court Remote

route_spin_glass_manifold

QMA spin-glass / frustrated Ising: given integer couplings on edges and a presented +/-1 spin per site, return the exact Ising energy energy_num/energy_den and WIN. edges are i,j,J;... (the fixture 0,1,1;1,2,1;2,0,1 is the frustrated triangle), spins are +1,-1,... The presented configuration is evaluated exactly; no annealing and no ground-state search. Same law as math_court domain qma_spinglass and verify_qaoa_energy. Floats refused.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
edgesNocouplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1
spinsNodiscrete spins +1,-1,... one per site, e.g. 1,-1,1

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  2. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  3. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  4. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  5. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  6. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  7. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  8. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  9. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  10. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  11. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  12. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  13. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  14. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  15. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  16. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  17. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  18. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  19. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  20. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  21. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  22. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  23. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  24. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  25. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  26. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  27. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  28. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  29. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  30. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  31. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  32. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  33. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  34. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  35. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  36. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  37. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  38. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  39. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  40. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  41. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  42. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  43. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  44. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  45. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  46. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  47. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  48. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  49. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  50. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  51. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  52. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  53. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  54. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  55. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  56. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  57. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  58. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  59. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  60. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  61. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  62. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  63. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  64. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  65. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  66. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  67. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  68. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  69. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  70. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  71. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  72. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  73. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  74. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  75. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  76. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  77. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  78. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  79. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  80. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  81. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  82. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  83. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  84. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  85. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  86. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  87. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  88. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  89. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  90. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  91. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  92. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  93. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  94. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  95. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  96. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  97. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  98. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  99. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  100. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  101. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  102. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  103. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  104. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  105. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  106. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  107. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  108. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"New value: +"i,j,J;... integer couplings"
    • changedInput schema / properties / spins / description
      Previous value: -"discrete spins +1,-1,... one per site, e.g. 1,-1,1"New value: +"+1,-1,... discrete spins"
  109. Changed2 schema fields changed
    • changedInput schema / properties / edges / description
      Previous value: -"i,j,J;... integer couplings"New value: +"couplings i,j,J;... integer J, e.g. 0,1,1;1,2,1;2,0,1"
    • changedInput schema / properties / spins / description
      Previous value: -"+1,-1,... discrete spins"New value: +"discrete spins +1,-1,... one per site, e.g. 1,-1,1"
  110. 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 behavioral burden. It states the tool performs exact evaluation, rejects floats, and returns specific outputs (energy_num/energy_den and WIN). It does not disclose side effects or prerequisites beyond input format, but for a read-only calculation this is largely sufficient.

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?

The description is multi-sentence but front-loaded with the core purpose, includes a useful example, and avoids filler. It is appropriately sized for the complexity of the tool.

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?

Given no output schema, the description explains the return values (energy_num/energy_den and WIN) and input format. It could clarify what 'WIN' represents and potential edge cases, but for a straightforward calculation tool it is fairly complete.

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 coverage is 100% with descriptions for both parameters, so the baseline is 3. The description adds a concrete example and clarifies integer constraints, but these mostly mirror the schema, providing marginal extra value.

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

Purpose5/5

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

The description clearly states the tool's purpose: given integer couplings and a spin configuration, it returns the exact Ising energy and WIN. It explicitly says it evaluates the presented configuration exactly, distinguishing it from ground-state search or annealing. It also references related tools, aiding differentiation.

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

Usage Guidelines3/5

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

The description implies usage for exact evaluation of a presented spin configuration, noting 'no annealing and no ground-state search.' It mentions equivalence to math_court domain qma_spinglass and verify_qaoa_energy but does not explicitly state when to prefer this tool over those alternatives, leaving some ambiguity.

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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