17 papers
Coupled-Layer Codes: Beyond Quantum Product Constructions
Shuyu Zhang, Tzu-Chieh Wei, Nathanan Tantivasadakarn
Product codes are an important class of quantum error-correcting codes constructed from multiple input codes, which can give rise to asymptotically good quantum low-density parity…
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 connect quantum information, many-body physics, and topological quantum field theory (TQFT). Cons…
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…
Universal Gates from Braiding and Fusing Anyons on Quantum Hardware
Chiu Fan Bowen Lo, Anasuya Lyons, Dan Gresh +8
Topological quantum computation encodes quantum information in the internal fusion space of non-Abelian anyonic quasiparticles, whose braiding implements logical gates. This goes b…
Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions
Xie Chen, Shang Liu, Da-chuan Lu +1
Spontaneous symmetry breaking is a well-understood mechanism for generating distinct phases of matter. Recently, the notion of symmetry has been broadened to include operations wit…
Coupled-Layer Construction of Quantum Product Codes
Shuyu Zhang, Tzu-Chieh Wei, Nathanan Tantivasadakarn
Product codes are a class of quantum error correcting codes built from two or more constituent codes. They have recently gained prominence for a breakthrough yielding quantum low-d…