A broad framework extends to all Abelian fermionic topological orders with gapped boundaries, delivering an exact bosonization map for Z’DF symmetries under certain conditions and linking fermionic many-body physics with quantum error correction.

Researchers from Peking University and Stony Brook University develop Majorana-Pauli stabilizer codes to model intrinsically fermionic topological phases, enabling an exactly solvable fermionic toric code by coupling Z8 Pauli operators with Majorana modes.

A nontrivial Z8F fermionic SPT phase without a free-fermion analogue is realized, showing the method’s ability to generate novel quantum phases beyond conventional approaches.

The work offers a solvable framework for modelling intrinsically fermionic topological phases, including systematic lattice constructions that capture long-range entanglement and protected edge states with potential implications for quantum materials science and computing.

Majorana-Pauli stabilizer codes provide enhanced algebraic control over fermionic topological orders, overcoming limits of purely Majorana approaches and enabling precise manipulation of anyons, string operators, and braiding statistics via stabilizer algebra.

The framework delivers a unified stabilizer description that bridges bosonic topological orders, symmetry-enriched phases, and symmetry-protected topological phases through a common algebraic structure applicable to fermionic systems.