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Intro
Adjoint of the creation operator
Annihilation operator
Fermion creation operators
Commutation relations for bosonic operators
Anticommutator formula
Annihilation operator on vacuum state
Comparison of first and second quantization
Fermion occupation number operator
Commutation relations for bosonic creation and annihilation operators
Motivation: Fault-tolerant quantum computation
The 3-Fermion theory
Encoding in symmetry defects
3-Fermion Clifford completeness
Walker-Wang states
The 3-Fermion Walker-Wang Hamiltonian
The 3-Fermion Walker-Wang ground state
Symmetries and defects - domain walls
Symmetries and defects - twist defects
Remark: implementable in a 2D architecture