Exact correctability of fusion-space codes is equivalent to fibrewise Knill–Laflamme conditions on syndrome-admissible footprint algebras, with a conditional Peierls threshold for growing families and explicit Ising examples of diagnostic versus syndrome measurements.
Fractional quantum Hall effect and nonabelian statistics
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abstract
It is argued that fractional quantum Hall effect wavefunctions can be interpreted as conformal blocks of two-dimensional conformal field theory. Fractional statistics can be extended to nonabelian statistics and examples can be constructed from conformal field theory. The Pfaffian state is related to the 2D Ising model and possesses fractionally charged excitations which are predicted to obey nonabelian statistics.
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A diagrammatic field theory of quantum error correction
Exact correctability of fusion-space codes is equivalent to fibrewise Knill–Laflamme conditions on syndrome-admissible footprint algebras, with a conditional Peierls threshold for growing families and explicit Ising examples of diagnostic versus syndrome measurements.