OAI/MathematicalPhysics/ContinuumCoulomb/Quantum/QuantumCircuitPadding.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

Two cancelling Hadamards remove the empty-circuit exception without changing acceptance.

  1. theorem OAI.ContinuumCoulomb.qmaHadamard_selfAdjoint line 12
  2. theorem OAI.ContinuumCoulomb.qmaHadamard_square line 17
  3. theorem OAI.ContinuumCoulomb.qmaGateMatrix_hadamard_square line 20
  4. def OAI.ContinuumCoulomb.qmaNonemptyCircuit line 28
  5. theorem OAI.ContinuumCoulomb.qmaNonemptyCircuit_wellFormed line 31
  6. theorem OAI.ContinuumCoulomb.qmaNonemptyCircuit_matrix line 40
  7. theorem OAI.ContinuumCoulomb.qmaNonemptyCircuit_acceptance line 50
  8. theorem OAI.ContinuumCoulomb.qmaNonemptyCircuit_length line 58
  9. theorem OAI.ContinuumCoulomb.qmaNonemptyCircuit_nearest line 62
  10. theorem OAI.ContinuumCoulomb.qmaNonemptyCircuit_sparse_pos line 66