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arxiv: quant-ph/0605138 · v3 · submitted 2006-05-16 · 🪐 quant-ph · cond-mat.str-el· hep-th

Topological Quantum Distillation

H. Bombin , M.A. Martin-Delgado This is my paper
classification 🪐 quant-ph cond-mat.str-elhep-th
keywords quantumtopologicalcodesdistillationaddressingallowsapplicationclass
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We construct a class of topological quantum codes to perform quantum entanglement distillation. These codes implement the whole Clifford group of unitary operations in a fully topological manner and without selective addressing of qubits. This allows us to extend their application also to quantum teleportation, dense coding and computation with magic states.

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    Generalizes stat-mech mapping from toric code memories to transversal Clifford circuits, mapping tCNOT to random Ashkin-Teller and 4-body Ising models and estimating reduced thresholds of p=0.080 and p>=0.028.