OAI/InformationTheory/Entanglement/HilbertTensor.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

  1. abbrev OAI.SecretKey.HilbertTensor line 15
  2. def OAI.SecretKey.hilbertTmul line 17
  3. lemma OAI.SecretKey.hilbertTmul_inner line 18
  4. lemma OAI.SecretKey.hilbertTmul_continuous line 21
  5. lemma OAI.SecretKey.tensor_basis_orthonormal line 24
  6. lemma OAI.SecretKey.tensor_basis_dense line 27
  7. def OAI.SecretKey.tensorHilbertBasis line 58
  8. lemma OAI.SecretKey.tensorHilbertBasis_apply line 61
  9. def OAI.SecretKey.hilbertTensorMap line 64
  10. lemma OAI.SecretKey.hilbertTensorMap_tmul line 66
  11. lemma OAI.SecretKey.hilbertTensor_ext line 70
  12. lemma OAI.SecretKey.hilbertTensorMap_comp line 78
  13. lemma OAI.SecretKey.hilbertTensor_inner_ext line 85
  14. lemma OAI.SecretKey.hilbertTensorMap_adjoint line 99