Self-dual random-plaquette gauge model and the quantum toric code

DOI10.1016/j.nuclphysb.2004.03.006zbMath1107.81318arXivhep-th/0310279OpenAlexW2095201368MaRDI QIDQ874062

Hidetoshi Nishimori, Koujin Takeda

Publication date: 4 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0310279

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum field theory on lattices (81T25)

Related Items (8)

On Cayley Graphs, Surface Codes, and the Limits of Homological Coding for Quantum Error Correction ⋮ Self-duality and phase structure of the 4D random-plaquette \(\mathbb Z_{2}\) gauge model ⋮ Duality in finite-dimensional spin glasses ⋮ Classification of quantum phases and topology of logical operators in an exactly solved model of quantum codes ⋮ Feasibility of self-correcting quantum memory and thermal stability of topological order ⋮ Homological error correction: Classical and quantum codes ⋮ Critical study of hierarchical lattice renormalization group in magnetic ordered and quenched disordered systems: Ising and Blume-Emery-Griffiths models ⋮ A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less)

Cites Work

• Fault-tolerant quantum computation by anyons
• Statistical Field Theory
• Statistical Physics of Spin Glasses and Information Processing
• Topological quantum memory

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