OAI/MathematicalPhysics/PEPSSubvolume/BipartiteEnergy.lean

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15 declarations, 0 contain sorry, 0 declared as axioms

Bipartite quadratic energy and Schmidt weights.

  1. def OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.conjugateEntries line 26
  2. def OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.expectation line 27
  3. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.bilinear_eq_trace line 31
  4. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.bilinear_left_mul line 37
  5. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.conjugateEntries_mul line 50
  6. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.conjugateEntries_transpose line 55
  7. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.conjugateEntries_conjTranspose line 59
  8. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.conjugateEntries_gram line 65
  9. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.expectation_left_mul line 72
  10. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.conjugateEntries_diagonal line 83
  11. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.gram_in_unitary_basis line 89
  12. def OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.distortionInBasis line 118
  13. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.distortionInBasis_eq line 121
  14. lemma OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.expectation_conjugate line 131
  15. theorem OAI.PolynomialPEPS.Subvolume.BipartiteEnergy.basis_product_error_le line 138