OAI/MathematicalPhysics/ContinuumCoulomb/Quantum/QuantumLocalDecomposition.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Exact sum of finite-support terms for the full unary-clock Hamiltonian.

  1. theorem OAI.ContinuumCoulomb.qmaSubmatrix_add line 13
  2. theorem OAI.ContinuumCoulomb.qmaSubmatrix_smul line 16
  3. theorem OAI.ContinuumCoulomb.qmaOfReal_ite line 19
  4. def OAI.ContinuumCoulomb.qmaQubitHamiltonian line 23
  5. theorem OAI.ContinuumCoulomb.qmaUnaryPropagationGram_reindex line 27
  6. theorem OAI.ContinuumCoulomb.qmaUnaryClockDiagonal_reindex line 50
  7. theorem OAI.ContinuumCoulomb.qmaUnaryInputDiagonal_reindex line 79
  8. theorem OAI.ContinuumCoulomb.qmaUnaryOutputDiagonal_reindex line 103
  9. theorem OAI.ContinuumCoulomb.qmaQubitHamiltonian_decomposition line 128