OAI/Analysis/Quantum/PPTSquare/Compression.lean

GitHub source file

24 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.ChannelCompletion.coord_compress line 12
  2. lemma OAI.ChannelCompletion.coord_inner line 19
  3. lemma OAI.ChannelCompletion.coord_isometry line 25
  4. lemma OAI.ChannelCompletion.coord_real line 32
  5. lemma OAI.ChannelCompletion.coord_transpose line 36
  6. lemma OAI.ChannelCompletion.transpose_ad_coord line 41
  7. lemma OAI.ChannelCompletion.coord_single line 47
  8. lemma OAI.ChannelCompletion.coord_kronecker line 63
  9. lemma OAI.ChannelCompletion.W0_isometry line 70
  10. lemma OAI.ChannelCompletion.W1_isometry line 73
  11. lemma OAI.ChannelCompletion.W0_W1 line 76
  12. lemma OAI.ChannelCompletion.W1_W0 line 81
  13. lemma OAI.ChannelCompletion.W0_flag line 86
  14. lemma OAI.ChannelCompletion.W1_flag line 91
  15. lemma OAI.ChannelCompletion.flag_transpose line 96
  16. lemma OAI.ChannelCompletion.dimension line 99
  17. lemma OAI.ChannelCompletion.theta_decomposition line 107
  18. lemma OAI.ChannelCompletion.theta_cp line 122
  19. lemma OAI.ChannelCompletion.theta_transpose_decomposition line 135
  20. lemma OAI.ChannelCompletion.theta_ppt line 153
  21. lemma OAI.ChannelCompletion.defect_trace line 169
  22. lemma OAI.ChannelCompletion.trace_ad_isometry line 173
  23. lemma OAI.ChannelCompletion.trace_two_blocks line 177
  24. lemma OAI.ChannelCompletion.theta_tracePreserving line 183