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most citedClifford quantum cellular automata from topological quantum field theories and invertible subalgebras

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quant-ph2026

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…

quant-ph2026

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…

quant-ph2026

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…

quant-ph2026

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…

quant-ph2026

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…

quant-ph2025

Generalized Statistics on Lattices

Ryohei Kobayashi, Yuyang Li, Hanyu Xue +2

The statistics of particles and extended excitations, such as loops and membranes, are fundamental to modern condensed matter physics, high-energy physics, and quantum information…