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Efficient and simple Gibbs state preparation of the two-dimensional toric code via duality to classical Ising chains

Pablo Páez-Velasco1,2,*, Niclas Schilling3,†, Samuel O. Scalet4,5,‡, Frank Verstraete4,6,§, and Ángela Capel4,7,∥

  • *Contact author: pablopaez@ucm.es
  • †Contact author: niclas.schilling@student.uni-tuebingen.de
  • ‡Contact author: sos25@cam.ac.uk
  • §Contact author: fv285@cam.ac.uk
  • ∥Contact author: ac2722@cam.ac.uk

Modified Logarithmic Sobolev Inequalities for CSS Codes

Sebastian Stengele, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández, Cambyse Rouzé, and Simone Warzel

Commun. Math. Phys. 407 195 (2026)

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