OAI/InformationTheory/AmplitudeDamping/TypicalProjectors.lean

GitHub source file

24 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.GAD.tensorMatrix_mul line 14
  2. theorem OAI.GAD.tensorMatrix_conjTranspose line 20
  3. theorem OAI.GAD.tensorMatrix_diagonal line 25
  4. theorem OAI.GAD.tensorMatrix_one line 36
  5. def OAI.GAD.tensorEigenUnitary line 40
  6. def OAI.GAD.spectralMatrix line 55
  7. theorem OAI.GAD.spectralMatrix_hermitian line 58
  8. theorem OAI.GAD.spectralMatrix_posSemidef line 64
  9. theorem OAI.GAD.spectralMatrix_trace line 72
  10. theorem OAI.GAD.spectralMatrix_entropy line 77
  11. theorem OAI.GAD.spectralMatrix_mul line 84
  12. theorem OAI.GAD.spectralMatrix_sub line 89
  13. theorem OAI.GAD.spectralMatrix_smul line 96
  14. def OAI.GAD.spectralMask line 104
  15. theorem OAI.GAD.spectralMask_projection line 107
  16. theorem OAI.GAD.spectralMask_trace line 113
  17. theorem OAI.GAD.spectralMask_compress line 118
  18. theorem OAI.GAD.spectralMask_compress_bound line 124
  19. theorem OAI.GAD.tensor_spectralMatrix line 142
  20. theorem OAI.GAD.projection_gram_mass line 151
  21. theorem OAI.GAD.spectralMask_mass line 160
  22. theorem OAI.GAD.spectralMask_loss line 165
  23. def OAI.GAD.typicalProjection line 177
  24. theorem OAI.GAD.typicalProjection_properties line 181