From the 1 of 18 linked papers with an AI index.
18 papers
Integer Linear Programming Decoder for Abelian and Non-Abelian Topological Codes
Dian Jing, Aubrey Zhang, Liang Jiang +1
Topological orders (TOs) are widely used as quantum error-correcting codes, with anyon excitations serving as error syndromes. For certain Abelian TOs, decoding can be performed by…
A fractional critical problem in the halfspace with Neumann conditions
Azahara DelaTorre Pedraza, Serena Dipierro, Angela Pistoia +1
Given and , we construct nontrivial solutions of the problem \begin{equation*} \begin{cases} (-Δ)^s u=u^{2^*_s-1} &{\mbox{ in }}\mathbb{R}^n_+,\\ {\mathcal{N}}_s…
Symmetry-Twisted Multi-Entropies: Order Parameters for 2D SPT Phases
Ramanjit Sohal, Michael Levin, Ruben Verresen
The paper proposes two nonlocal order parameters based on symmetry‑twisted multi‑entropies that can detect and distinguish all 2D bosonic symmetry‑protected topological phases with…
Statistical Mechanics and Symmetries of Non-Abelian Anyon Proliferation: From Deformation to Decoherence
Avi Vadali, Robijn Vanhove, Ruben Verresen +2
Topological quantum computation relies on braiding non-Abelian anyons, but requires the underlying topological order to survive imperfect state preparation and environmental noise.…
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…
Exact quantum scars from kinetic frustration for cross-platform realizations
Zhuoli Ding, Ruben Verresen, Zoe Z. Yan
Quantum many-body scars are nonthermal states exhibiting persistent revivals in an otherwise ergodic, nonintegrable quantum system. Here we leverage the phenomenon of kinetic frust…