Universal topological phase of two-dimensional stabilizer codes

DOI10.1088/1367-2630/14/7/073048zbMath1448.81223arXiv1103.4606OpenAlexW3122984058MaRDI QIDQ5137677

Héctor Bombín, David Poulin, Guillaume Duclos-Cianci

Publication date: 2 December 2020

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4606

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum coding (general) (81P70) Quantum gates (81P65)

Related Items (9)

Commuting Pauli Hamiltonians as maps between free modules ⋮ Structure of 2D topological stabilizer codes ⋮ Full characterization of a spin liquid phase: from topological entropy to robustness and braid statistics ⋮ Fast decoders for qudit topological codes ⋮ Topological quantum error correction in the Kitaev honeycomb model ⋮ Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes ⋮ Unfolding the color code ⋮ Geometric entanglement in topologically ordered states ⋮ A non-commuting stabilizer formalism

Cites Work

• Unitarity plus causality implies localizability
• A short proof of stability of topological order under local perturbations
• Anyons in an exactly solved model and beyond
• Fault-tolerant quantum computation by anyons
• Non-Abelian anyons and topological quantum computation
• Topological Computation without Braiding
• On thermalization in Kitaev's 2D model
• Quantum error correction via codes over GF(4)
• Topological quantum memory
• Topological quantum order: Stability under local perturbations
• Paths, Trees, and Flowers

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