OAI/MathematicalPhysics/ContinuumCoulomb/Quantum/QuantumCircuitPauli.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

An explicit polynomial-size Pauli family for the actual real circuit Hamiltonian. Every nonzero coefficient has even Y parity.

  1. abbrev OAI.ContinuumCoulomb.QMACircuitPauliTerm line 14
  2. def OAI.ContinuumCoulomb.qmaCircuitPauliCoefficient line 17
  3. def OAI.ContinuumCoulomb.qmaCircuitPauliMatrix line 21
  4. theorem OAI.ContinuumCoulomb.qmaCircuitPauli_sum line 26
  5. theorem OAI.ContinuumCoulomb.qmaCircuitPauli_count line 35
  6. theorem OAI.ContinuumCoulomb.qmaCircuitPauli_odd_zero line 52
  7. theorem OAI.ContinuumCoulomb.qmaCircuitPauli_support line 60