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Invertible subalgebras for chiral semion topological order
Yu-An Chen, Meng Sun, Nathanan Tantivasadakarn +2
Chiral topological order is incompatible with strictly two-dimensional local commuting-projector Hamiltonians on finite-dimensional tensor-product Hilbert spaces. Invertible subalg…
Non-Clifford quantum cellular automata from invertible topological quantum field theories
Meng Sun, Zongyuan Wang, Bowen Yang +2
Quantum cellular automata (QCAs) describe locality-preserving quantum dynamics and link quantum information, many-body physics, and topological quantum field theory (TQFT). Constru…
Majorana-Pauli stabilizer codes and duality webs of fermionic topological phases
Meng Sun, Zongyuan Wang, Nathanan Tantivasadakarn +1
Stabilizer codes provide exact lattice realizations of bosonic topological orders. In contrast, systematic stabilizer descriptions of intrinsically fermionic topological phases rem…