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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:13010101  ( MP4 Medium Res , MP4 Low Res , MP3 , PDF ) Which Format?
Exotic topological order from quantum fractal code
Speaker(s): Beni Yoshida
Abstract: We present a family of three-dimensional local quantum codes with pairs of fractal logical operators. It has two polynomials over finite fields as input parameters which generate fractal shapes of anti-commuting logical operators, and possesses exotic topological order with quantum glassiness which is beyond descriptions of conventional topological field theory. A necessary and sufficient condition for being free from string-like logical operators is obtained under which the model works as marginally self-correcting quantum memory. We also provide theoretical tools to analyze physical and coding properties of translation symmetric stabilizer Hamiltonians.
Date: 14/01/2013 - 4:00 pm
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