From the 1 of 9 linked papers with an AI index.
9 papers
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…
Bockstein braiding statistics
Po-Shen Hsin, Yu-An Chen
The paper introduces a universal construction of mutual braiding statistics for Z_N-fused excitations in one lower spatial dimension, defines a Berry‑phase invariant linked to the…
Pauli stabilizer formalism for topological quantum field theories and generalized statistics
Yitao Feng, Hanyu Xue, Ryohei Kobayashi +2
Topological quantum field theory (TQFT) provides a unifying framework for describing topological phases of matter and for constructing quantum error-correcting codes, playing a cen…
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…
Clifford quantum cellular automata from topological quantum field theories and invertible subalgebras
Meng Sun, Bowen Yang, Zongyuan Wang +2
We present a general framework for constructing quantum cellular automata (QCA) from topological quantum field theories (TQFT) and invertible subalgebras (ISA) using the cup-produc…
Anyonic membranes and Pontryagin statistics
Yitao Feng, Hanyu Xue, Yuyang Li +4
Anyons, unique to two spatial dimensions, underlie extraordinary phenomena such as the fractional quantum Hall effect, but their generalization to higher dimensions has remained el…